You searched for subject:(asymptotic analysis)
.
Showing records 1 – 30 of
233 total matches.
◁ [1] [2] [3] [4] [5] [6] [7] [8] ▶

University of California – San Diego
1.
Kim, Min Seong.
Improved inference for spatial and panel models.
Degree: Economics, 2011, University of California – San Diego
URL: http://www.escholarship.org/uc/item/4r52q389
► Chapter 1 is "Heteroskedasticity and Spatiotemporal Dependence Robust Inference for Linear Panel Models with Fixed Effects." This chapter studies robust inference for linear panel models…
(more)
▼ Chapter 1 is "Heteroskedasticity and Spatiotemporal Dependence Robust Inference for Linear Panel Models with Fixed Effects." This chapter studies robust inference for linear panel models with fixed effects in the presence of heteroskedasticity and spatiotemporal dependence of unknown forms. We propose a bivariate kernel covariance estimator, which is flexible to nest existing estimators as special cases with certain choices of bandwidths. For distributional approximations, we consider two different types of asymptotics. When the level of smoothing is assumed to increase with the sample size, the proposed estimator is consistent and the associated Wald statistic converges to a chi square distribution. We show that our covariance estimator improves upon existing estimators in terms of robustness and efficiency. When we assume the level of smoothing to be held fixed, the covariance estimator has a random limit and we show by asymptotic expansion that the limiting distribution of the test statistic depends on the bandwidth parameters, the kernel function, and the number of restrictions being tested. As this distribution is nonstandard, we establish the validity of an F-approximation to this distribution, which greatly facilitates the test. For optimal bandwidth selection, we propose a procedure based on the upper bound of asymptotic mean square error criterion. The flexibility of our estimator and proposed bandwidth selection procedure make our estimator adaptive to the dependence structure in data. This adaptiveness automates the selection of covariance estimator. That is, our estimator reduces to the existing estimators which are designed to cope with the particular dependence structures. Simulation results show that the F-approximation and the adaptiveness work reasonably well. Chapter 2 is "Spatial Heteroskedasticity and Autocorrelation Consistent Estimation of Covariance Matrix". This chapter considers spatial heteroskedasticity and autocorrelation consistent (spatial HAC) estimation of covariance matrices of parameter estimators. We generalize the spatial HAC estimators introduced by Kelejian and Prucha (2007) to apply to linear and nonlinear spatial models with moment conditions. We establish its consistency, rate of convergence and asymptotic truncated mean squared error (MSE). Based on the asymptotic truncated MSE criterion, we derive the optimal bandwidth parameter and suggest its data dependent estimation procedure using a parametric plug-in method. The finite sample performances of the spatial HAC estimator are evaluated via Monte Carlo simulation. Chapter 3 is "k-step Bootstrap Bias Correction for Fixed Effects Estimator in Nonlinear Panel Models." Fixed effects estimators in nonlinear panel models with fixed T usually suffer from inconsistency because of the incidental parameters problem first noted by Neyman and Scott (1948). Moreover, even though T grows at the same rate as n, they are asymptotically biased and therefore the associated confidence interval has a large coverage error. This chapter proposes…
Subjects/Keywords: Econometrics; Estimation theory
Asymptotic theory; Asymptotic theory
Regression analysis; Bootstrap (Statistics)
Record Details
Similar Records
Cite
Share »
Record Details
Similar Records
Cite
« Share





❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Kim, M. S. (2011). Improved inference for spatial and panel models. (Thesis). University of California – San Diego. Retrieved from http://www.escholarship.org/uc/item/4r52q389
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Kim, Min Seong. “Improved inference for spatial and panel models.” 2011. Thesis, University of California – San Diego. Accessed March 07, 2021.
http://www.escholarship.org/uc/item/4r52q389.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Kim, Min Seong. “Improved inference for spatial and panel models.” 2011. Web. 07 Mar 2021.
Vancouver:
Kim MS. Improved inference for spatial and panel models. [Internet] [Thesis]. University of California – San Diego; 2011. [cited 2021 Mar 07].
Available from: http://www.escholarship.org/uc/item/4r52q389.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Kim MS. Improved inference for spatial and panel models. [Thesis]. University of California – San Diego; 2011. Available from: http://www.escholarship.org/uc/item/4r52q389
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Michigan State University
2.
Kim, Doosoo.
Quasi-maximum likelihood estimation methods with a control function approach to endogeneity.
Degree: 2017, Michigan State University
URL: http://etd.lib.msu.edu/islandora/object/etd:4614
► "One of the fundamental problems in econometrics is the potential endogeneity in non-experimental data. This work focuses on econometric methods taking a control function approach…
(more)
▼ "One of the fundamental problems in econometrics is the potential endogeneity in non-experimental data. This work focuses on econometric methods taking a control function approach to endogeneity. The agenda consists of two parts. In the first part, I study a general class of conditional mean regression methods with a control function, and their relative
asymptotic efficiency relationship. Unlike previous results in the literature, the likelihood for the response variables can be incorrect up to the regression functions. My results provide more practical and general guidance on the choice of an estimator. In the second part, I propose a generalized Chamberlain device as a control function approach to time-invariant endogeneity in linear panel data quantile regression models with a finite time dimension. The new correlated effect (CE) estimator has substantial advantages compared to existing methods: (i) it is free of an incidental parameters problem, (ii) the correlated effect is not restricted to a linear functional form, and (iii) an arbitrary within-group dependence of regression errors is allowed. Due to the high-dimensionality of the control function, a nonconvex penalized estimator is adopted for sparse model selection. In the first chapter, I study the
asymptotic relative efficiency relationship among estimators based on a quasi-limited information likelihood (QLIL). First, I show that there exists a generalized method of moments estimator (GMM-QLIML) based on all the available quasi-scores. Second, the quasi-limited information maximum likelihood estimator (QLIML) is shown to be as efficient as GMM-QLIML under a set of generalized information matrix equalities. Third, I show that in a fully robust estimation of correctly specified conditional mean functions, QLIML is efficient relative to a two-step control function approach when the generalized linear model variance assumptions hold with a scaling restriction. When a limited information structure is over-identified, the classical minimum distance (MD) estimator is often proposed as an estimation method. The purpose of the second chapter is to study its relative
asymptotic efficiency relationship with respect to QLIML and two-step control function (CF) approach. First, I show that the MD estimator is asymptotically efficient relative to two other estimators. Second, I proved that the concentration of reduced form equation estimates does not affect the
asymptotic efficiency of the structural parameter estimates in the MD estimation. Third, in a class of models, an if-and-only-if condition is derived for MD and other estimators to be asymptotically equivalent under the null hypothesis of exogeneity. In the third chapter, I propose a point-identifying restriction and estimation procedure for a linear panel data quantile regression model with a fixed time dimension. The proposed model restriction reasonably accounts for the -quantile-specific time-invariant heterogeneity, and allows arbitrary within-group dependence of regression errors. The generalized…
Advisors/Committee Members: Wooldridge, Jeffrey M., Schmidt, Peter J., Kim, Kyoo il.
Subjects/Keywords: Econometrics – Asymptotic theory; Regression analysis – Asymptotic theory; Economics
Record Details
Similar Records
Cite
Share »
Record Details
Similar Records
Cite
« Share





❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Kim, D. (2017). Quasi-maximum likelihood estimation methods with a control function approach to endogeneity. (Thesis). Michigan State University. Retrieved from http://etd.lib.msu.edu/islandora/object/etd:4614
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Kim, Doosoo. “Quasi-maximum likelihood estimation methods with a control function approach to endogeneity.” 2017. Thesis, Michigan State University. Accessed March 07, 2021.
http://etd.lib.msu.edu/islandora/object/etd:4614.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Kim, Doosoo. “Quasi-maximum likelihood estimation methods with a control function approach to endogeneity.” 2017. Web. 07 Mar 2021.
Vancouver:
Kim D. Quasi-maximum likelihood estimation methods with a control function approach to endogeneity. [Internet] [Thesis]. Michigan State University; 2017. [cited 2021 Mar 07].
Available from: http://etd.lib.msu.edu/islandora/object/etd:4614.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Kim D. Quasi-maximum likelihood estimation methods with a control function approach to endogeneity. [Thesis]. Michigan State University; 2017. Available from: http://etd.lib.msu.edu/islandora/object/etd:4614
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
3.
Δρούλια, Σοφία.
Ασυμπτωτικά αναπτύγματα ολοκληρωμάτων.
Degree: 2012, University of Patras
URL: http://hdl.handle.net/10889/5578
► Ενώ η πραγματική ανάλυση φαίνεται να έχει προβάδισμα όσο αφορά στον τρόπο επίλυσης των περισσότερων προβλημάτων λογισμού που διδάσκονται τόσο σε σχολικό όσο και σε…
(more)
▼ Ενώ η πραγματική ανάλυση φαίνεται να έχει προβάδισμα όσο αφορά στον τρόπο
επίλυσης των περισσότερων προβλημάτων λογισμού που διδάσκονται τόσο σε
σχολικό όσο και σε πανεπιστημιακό επίπεδο, η πραγματικότητα είναι διαφορετική.
Ουσιαστικά, ελάχιστα προβλήματα της εφαρμοσμένης ανάλυσης λύνονται αναλυτικά,
καθώς οι λύσεις που προκύπτουν είναι συχνά υπό μορφή ολοκληρωμάτων που δεν
υπολογίζονται στοιχειωδώς. Στην παρούσα διπλωματική εργασία γίνεται προσπάθεια
αντιμετώπισης κάποιων ολοκληρωμάτων με τεχνικές της ασυμπτωτικής ανάλυσης.
Αφότου αποσαφηνιστούν κάποιες βασικές έννοιες της ασυμπτωτικής ανάλυσης,
παρουσιάζονται πέντε μέθοδοι υπολογισμού ολοκληρωμάτων μέσω ασυμπτωτικών
αναπτυγμάτων. Το σύνολο τους, καλύπτει ένα αρκετά ευρύ φάσμα ανάλυσης και
υπολογισμού τέτοιου τύπου ολοκληρωμάτων και η κάθε μια από αυτές, εξιδεικεύεται
σε συγκεκριμένες περιπτώσεις, ανάλογα με το χώρο στον οποίο ανήκουν οι υπό
ολοκλήρωση συναρτήσεις καθώς και το πεδίο ολοκλήρωσης.
-
Advisors/Committee Members: Πετροπούλου, Ευγενία, Droulia, Sofia, Κοκολογιαννάκη, Χρυσή, Παπαγεωργίου, Βασίλειος.
Subjects/Keywords: Ασυμπτωτική ανάλυση; Ολοκληρώματα; 515.43; Asymptotic analysis; Integrals
Record Details
Similar Records
Cite
Share »
Record Details
Similar Records
Cite
« Share





❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Δρούλια, . (2012). Ασυμπτωτικά αναπτύγματα ολοκληρωμάτων. (Masters Thesis). University of Patras. Retrieved from http://hdl.handle.net/10889/5578
Chicago Manual of Style (16th Edition):
Δρούλια, Σοφία. “Ασυμπτωτικά αναπτύγματα ολοκληρωμάτων.” 2012. Masters Thesis, University of Patras. Accessed March 07, 2021.
http://hdl.handle.net/10889/5578.
MLA Handbook (7th Edition):
Δρούλια, Σοφία. “Ασυμπτωτικά αναπτύγματα ολοκληρωμάτων.” 2012. Web. 07 Mar 2021.
Vancouver:
Δρούλια . Ασυμπτωτικά αναπτύγματα ολοκληρωμάτων. [Internet] [Masters thesis]. University of Patras; 2012. [cited 2021 Mar 07].
Available from: http://hdl.handle.net/10889/5578.
Council of Science Editors:
Δρούλια . Ασυμπτωτικά αναπτύγματα ολοκληρωμάτων. [Masters Thesis]. University of Patras; 2012. Available from: http://hdl.handle.net/10889/5578
4.
Minton, Jeremy John.
Mathematical modelling of asymmetrical metal rolling processes.
Degree: PhD, 2017, University of Cambridge
URL: https://www.repository.cam.ac.uk/handle/1810/270348
► This thesis explores opportunities in the mathematical modelling of metal rolling processes, specifically asymmetrical sheet rolling. With the application of control systems in mind, desired…
(more)
▼ This thesis explores opportunities in the mathematical modelling of metal rolling processes, specifically asymmetrical sheet rolling. With the application of control systems in mind, desired mathematical models must make adequate predictions with short computational times. This renders generic numerical approaches inappropriate.
Previous analytical models of symmetrical sheet rolling have relied on ad hoc assumptions about the form of the solution. The work within this thesis begins by generalising symmetric asymptotic rolling models: models that make systematic assumptions about the rolling configuration. Using assumptions that apply to cold rolling, these models are generalised to include asymmetries in roll size, roll speed and roll-workpiece friction conditions. The systematic procedure of asymptotic analysis makes this approach flexible to incorporating alternative friction and material models. A further generalisation of a clad-sheet workpiece is presented to illustrate this. Whilst this model was formulated and solved successfully, deterioration of the results for any workpiece inhomogeneity demonstrates the limitations of some of the assumptions used in these two models.
Attention is then turned to curvature prediction. A review of workpiece curvature studies shows that contradictions exist in the literature; and complex non-linear relationships are seen to exist between asymmetries, roll geometry and induced curvature. The collated data from the studies reviewed were insufficient to determine these relationships empirically; and neither analytical models, including those developed thus far, nor linear regressions are able to predict these data. Another asymmetric rolling model is developed with alternative asymptotic assumptions, which shows non-linear behaviour over ranges of asymmetries and geometric parameters. While quantitative curvature predictions are not achieved, metrics of mechanisms hypothesised to drive curvature indicate these non-linear curvature trends may be captured with further refinement.
Finally, coupling a curved beam model with a curvature predicting rolling model is proposed to model the ring rolling process. Both of these parts are implemented but convergence between them is not yet achieved. By analogy this could be extended with shell theory and a three-dimensional rolling model to model the wheeling process.
Subjects/Keywords: metal forming; rolling; analytical models; asymptotic analysis
Record Details
Similar Records
Cite
Share »
Record Details
Similar Records
Cite
« Share





❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Minton, J. J. (2017). Mathematical modelling of asymmetrical metal rolling processes. (Doctoral Dissertation). University of Cambridge. Retrieved from https://www.repository.cam.ac.uk/handle/1810/270348
Chicago Manual of Style (16th Edition):
Minton, Jeremy John. “Mathematical modelling of asymmetrical metal rolling processes.” 2017. Doctoral Dissertation, University of Cambridge. Accessed March 07, 2021.
https://www.repository.cam.ac.uk/handle/1810/270348.
MLA Handbook (7th Edition):
Minton, Jeremy John. “Mathematical modelling of asymmetrical metal rolling processes.” 2017. Web. 07 Mar 2021.
Vancouver:
Minton JJ. Mathematical modelling of asymmetrical metal rolling processes. [Internet] [Doctoral dissertation]. University of Cambridge; 2017. [cited 2021 Mar 07].
Available from: https://www.repository.cam.ac.uk/handle/1810/270348.
Council of Science Editors:
Minton JJ. Mathematical modelling of asymmetrical metal rolling processes. [Doctoral Dissertation]. University of Cambridge; 2017. Available from: https://www.repository.cam.ac.uk/handle/1810/270348

Michigan State University
5.
Nawaz, Nasreen.
Essays in time series econometrics.
Degree: 2015, Michigan State University
URL: http://etd.lib.msu.edu/islandora/object/etd:3098
► In the first chapter, We focus on the estimation of the ratio of trend slopes between two time series where is it reasonable to assume…
(more)
▼ In the first chapter, We focus on the estimation of the ratio of trend slopes between two time series where is it reasonable to assume that the trending behavior of each series can be well approximated by a simple linear time trend. We obtain results under the assumption that the stochastic parts of the two time series comprise a zero mean time series vector that has sufficient stationarity and has dependence that is weak enough so that scaled partial sums of the vector satisfy a functional central limit theorem (FCLT). We compare two obvious estimators of the trend slope ratio and propose a third bias-corrected estimator. We show how to use these three estimators to carry out inference about the trend slope ratio. When trend slopes are small in magnitude relative to the variation in the stochastic components (the trend slopes are small relative to the noise), we find that inference using any of the three estimators is compromised and potentially misleading. We propose an alternative inference procedure that remains valid when trend slopes are small or even zero. We carry out an extensive theoretical
analysis of the estimators and inference procedures with positive findings. First, the theory points to one of the three estimators as being preferred in terms of bias. Second, the theory unambiguously suggests that our alternative inference procedure is superior both under the null and under the alternative with respect to the magnitudes of the trend slopes. Finite sample simulations indicate that the predictions made by the
asymptotic theory are relevant in practice. We give concrete and specific advice to empirical practitioners on how to estimate a ratio of trend slopes and how to carry out tests of hypotheses about the ratio. The second chapter is an extension of the first, where the stationarity assumption in the
analysis is relaxed. It is assumed that the stochastic parts of the trending series follow an I(1) process. We consider the case when the individual series have unit roots in the stochastic parts and also the noise term in the IV regression equation has a unit root. We also consider the case of cointegration between the two series leading to I(0) error in the IV regression equation. The theory explicitly captures the impact of the magnitude of the trend slopes on the estimation and inference about the trend slopes ratio. If the trend slopes are relatively large in magnitude, the IV estimator is consistent for both I(1) and I(0) regression errors. For medium and small trend slopes, the IV estimator is inconsistent for I(1) case, but consistent for I(0) regression error. For inference, the test based on IV estimator has been compared with the alternative testing approach.
Asymptotic theory and finite sample simulations suggest that the alternative testing approach is superior both under the null and under the alternative with respect to the magnitudes of the trend slopes. Whether the noise term in the IV regression equation is I(0) or I(1) has an impact on the power performance of the test for the trend…
Advisors/Committee Members: Vogelsang, Timothy J., Schmidt, Peter, Lakdawala, Aeimit, Koul, Hira.
Subjects/Keywords: Econometrics – Asymptotic theory; Time-series analysis; Economics
Record Details
Similar Records
Cite
Share »
Record Details
Similar Records
Cite
« Share





❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Nawaz, N. (2015). Essays in time series econometrics. (Thesis). Michigan State University. Retrieved from http://etd.lib.msu.edu/islandora/object/etd:3098
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Nawaz, Nasreen. “Essays in time series econometrics.” 2015. Thesis, Michigan State University. Accessed March 07, 2021.
http://etd.lib.msu.edu/islandora/object/etd:3098.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Nawaz, Nasreen. “Essays in time series econometrics.” 2015. Web. 07 Mar 2021.
Vancouver:
Nawaz N. Essays in time series econometrics. [Internet] [Thesis]. Michigan State University; 2015. [cited 2021 Mar 07].
Available from: http://etd.lib.msu.edu/islandora/object/etd:3098.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Nawaz N. Essays in time series econometrics. [Thesis]. Michigan State University; 2015. Available from: http://etd.lib.msu.edu/islandora/object/etd:3098
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Columbia University
6.
Wang, Shuaiwen.
High-dimensional asymptotics: new insights and methods.
Degree: 2020, Columbia University
URL: https://doi.org/10.7916/d8-7edd-jf09
► As an important element of statistics, linear model y = Ax + w has gained a lot of attention for decades. With the emergence of…
(more)
▼ As an important element of statistics, linear model y = Ax + w has gained a lot of attention for decades. With the emergence of new data, new problems and new techniques, it is still of great interest to study this model under different settings. In this thesis, we focus on an asymptotic framework where the number of observation n is comparable to the number of variables p, and only a subset of k components of the coefficient vector x are nonzero with k being comparable to p. The prediction, variable selection and concentration properties of several techniques are studied. Regarding variable selection, we consider a class of two stage variable selection procedures, where we generate an optimally tuned Bridge regression estimator x = argmin{x} 1/2 ||y - Ax||22 + gamma ||x|| qq in the first stage, and threshold this estimator in the second stage. We then compare LASSO with our two stage procedures. Further we discuss the best choice of q in the first stage. It turns out that the variable selection performance of such procedures depends on the estimation mean-square error (MSE) of the Bridge estimator. This motivates us to further study the estimation accuracy of Bridge estimators and compare their MSEs for different choices of q. The tool of approximate message passing enables us to characterize the limiting MSE and provide accurate comparison between different estimators. Next we move our focus to the SLOPE estimator x := argmin 1/2 ||y - Ax|| 22 + gamma sum {i=1}p lambdai |x|(i), where lambda1 geq ... geq lambdap geq 0 are the regularization parameters and |x|(1) geq ... geq |x|(p) geq 0 denote the components of the signal (or regression coefficients) in the decreasing order. We provide an accurate comparison between the MSE of SLOPE and that of the bridge estimators. The non-separable nature of SLOPE makes it hard to characterize its limiting MSE as p – > infinity. Hence we first prove concentration inequalities for its MSE under finite sample and characterize the concentrated mean through a system of equations. By using the concentration results, we show SLOPE has larger MSE than LASSO in a low noise regime and larger MSE than Ridge in a large noise regime.
Subjects/Keywords: Statistics; Linear models (Statistics); Regression analysis – Asymptotic theory; Estimation theory – Asymptotic theory; Standard deviations
Record Details
Similar Records
Cite
Share »
Record Details
Similar Records
Cite
« Share





❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Wang, S. (2020). High-dimensional asymptotics: new insights and methods. (Doctoral Dissertation). Columbia University. Retrieved from https://doi.org/10.7916/d8-7edd-jf09
Chicago Manual of Style (16th Edition):
Wang, Shuaiwen. “High-dimensional asymptotics: new insights and methods.” 2020. Doctoral Dissertation, Columbia University. Accessed March 07, 2021.
https://doi.org/10.7916/d8-7edd-jf09.
MLA Handbook (7th Edition):
Wang, Shuaiwen. “High-dimensional asymptotics: new insights and methods.” 2020. Web. 07 Mar 2021.
Vancouver:
Wang S. High-dimensional asymptotics: new insights and methods. [Internet] [Doctoral dissertation]. Columbia University; 2020. [cited 2021 Mar 07].
Available from: https://doi.org/10.7916/d8-7edd-jf09.
Council of Science Editors:
Wang S. High-dimensional asymptotics: new insights and methods. [Doctoral Dissertation]. Columbia University; 2020. Available from: https://doi.org/10.7916/d8-7edd-jf09

University of Alberta
7.
Lengyel, Tamran H.
Investigation of the Tearing Mechanism of Bonded Soft
Elastomers with Finite Interfacial Friction.
Degree: PhD, Department of Mechanical Engineering, 2015, University of Alberta
URL: https://era.library.ualberta.ca/files/4f16c570k
► The role of interfacial slippage on the deformation and stress fields near an interfacial crack are investigated in detail. First, the limiting extents of interfacial…
(more)
▼ The role of interfacial slippage on the deformation
and stress fields near an interfacial crack are investigated in
detail. First, the limiting extents of interfacial bonded friction,
defined as the `frictionless' and `no-slip' cases, were modeled as
hyperelastic elastostatic boundary value problems in plane strain.
Using ideas similar to a fracture mechanics cohesive zone model,
the `finite friction' case is established as a shear stress
threshold on the bonded surface which if exceeded, allows
interfacial slippage. The solutions of all three of these boundary
value problems are found in the near field of the crack front using
asymptotic analysis. Comparison of these solutions confirm
experimental results that the inhibition of interfacial slip in the
no-slip case caused material to contract inward producing a
non-vertical surface angle that is shown to be a ratio of the
in-plane stress components. The finite friction and frictionless
cases were found to be related in that they both showed interfacial
slippage after loading and the surface angle was perpendicular to
the bonded interface. Further, the frictionless case is achieved
when the finite friction threshold is set to zero, and in the
presence of interfacial friction on the bonded edge there was a
reduction in movement and the crack opening profile became more
blunted or sharpened depending on the direction of slip. Extensive
numerical simulations were performed using commercial finite
element analysis software. Simulations for all three friction cases
were studied and the results showed strong agreement with the
analytical near field findings. Using the numerical data, the
effects of far-field loading conditions on the remaining constants
in the near-field solutions were quantified and discussed. Through
the course of these simulations, it was identified that the
direction of loading also plays a significant role on the
deformation and stress fields near the crack front. The blunting
effect occurred when the loading direction was more perpendicular
and the interfacial slip moved to the right. However, when the
loading direction was more tangential to the surface away from the
crack the deformation field was sharpened and material in the
slip-zone moved to the left. This direction of transition was also
affected by the total deflection of the far-field loading.
Moreover, the amount of blunting was found to be directly related
to the magnitude of the stress threshold, and depending on the
shear stress direction on the bonded edge (linked to the direction
of slippage), produces significantly different normal stress
magnitudes and failure modes. From the results presented in this
study, a method of quantifying interfacial friction through
deflection geometry is introduced and design considerations for
desired adhesive tearing mechanisms are provided.
Subjects/Keywords: finite deformation; Interface crack; asymptotic analysis; interfacial slippage; finite element analysis
Record Details
Similar Records
Cite
Share »
Record Details
Similar Records
Cite
« Share





❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Lengyel, T. H. (2015). Investigation of the Tearing Mechanism of Bonded Soft
Elastomers with Finite Interfacial Friction. (Doctoral Dissertation). University of Alberta. Retrieved from https://era.library.ualberta.ca/files/4f16c570k
Chicago Manual of Style (16th Edition):
Lengyel, Tamran H. “Investigation of the Tearing Mechanism of Bonded Soft
Elastomers with Finite Interfacial Friction.” 2015. Doctoral Dissertation, University of Alberta. Accessed March 07, 2021.
https://era.library.ualberta.ca/files/4f16c570k.
MLA Handbook (7th Edition):
Lengyel, Tamran H. “Investigation of the Tearing Mechanism of Bonded Soft
Elastomers with Finite Interfacial Friction.” 2015. Web. 07 Mar 2021.
Vancouver:
Lengyel TH. Investigation of the Tearing Mechanism of Bonded Soft
Elastomers with Finite Interfacial Friction. [Internet] [Doctoral dissertation]. University of Alberta; 2015. [cited 2021 Mar 07].
Available from: https://era.library.ualberta.ca/files/4f16c570k.
Council of Science Editors:
Lengyel TH. Investigation of the Tearing Mechanism of Bonded Soft
Elastomers with Finite Interfacial Friction. [Doctoral Dissertation]. University of Alberta; 2015. Available from: https://era.library.ualberta.ca/files/4f16c570k

Indian Institute of Science
8.
Ameen, Maqsood Mohammed.
Analysis of Thick Laminated Composite Beams using Variational Asymptotic Method.
Degree: MSc Engg, Faculty of Engineering, 2018, Indian Institute of Science
URL: http://etd.iisc.ac.in/handle/2005/3720
► An asymptotically-exact methodology is presented for obtaining the cross-sectional stiffness matrix of a pre-twisted, moderately-thick beam having rectangular cross sections and made of transversely isotropic…
(more)
▼ An asymptotically-exact methodology is presented for obtaining the cross-sectional stiffness matrix of a pre-twisted, moderately-thick beam having rectangular cross sections and made of transversely isotropic material. The beam is modelled with-out assumptions from 3-D elasticity. The strain energy of the beam is computed making use of the constitutive law and the kinematical relations derived with the inclusion of geometrical nonlinearities and initial twist. Large displacements and rotations are allowed, but small strain is assumed. The Variational
Asymptotic Method (VAM) is used to minimize the energy functional, thereby reducing the cross section to a point on the reference line with appropriate properties, yielding a 1-D constitutive law. In this method as applied herein, the 2-D cross-sectional
analysis is performed asymptotically by taking advantage of a material small parameter and two geometric small parameters. 3-D strain components are derived using kinematics and arranged as orders of the small parameters. Warping functions are obtained by the minimisation of strain energy
subject to certain set of constraints that renders the 1-D strain measures well-defined. Closed-form expressions are derived for the 3-D non-linear warping and stress fields. The model is capable of predicting interlaminar and transverse shear stresses accurately up to first order.
Advisors/Committee Members: Harursampath, Dineshkumar (advisor).
Subjects/Keywords: Laminated Composite Beams; Asymptotic Method; Beams - Static Analysis; Laminated Composites; Variational Asymptotic Method (VAM); Beams - Cross-sectional Analysis; Aerospace Engineering
Record Details
Similar Records
Cite
Share »
Record Details
Similar Records
Cite
« Share





❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Ameen, M. M. (2018). Analysis of Thick Laminated Composite Beams using Variational Asymptotic Method. (Masters Thesis). Indian Institute of Science. Retrieved from http://etd.iisc.ac.in/handle/2005/3720
Chicago Manual of Style (16th Edition):
Ameen, Maqsood Mohammed. “Analysis of Thick Laminated Composite Beams using Variational Asymptotic Method.” 2018. Masters Thesis, Indian Institute of Science. Accessed March 07, 2021.
http://etd.iisc.ac.in/handle/2005/3720.
MLA Handbook (7th Edition):
Ameen, Maqsood Mohammed. “Analysis of Thick Laminated Composite Beams using Variational Asymptotic Method.” 2018. Web. 07 Mar 2021.
Vancouver:
Ameen MM. Analysis of Thick Laminated Composite Beams using Variational Asymptotic Method. [Internet] [Masters thesis]. Indian Institute of Science; 2018. [cited 2021 Mar 07].
Available from: http://etd.iisc.ac.in/handle/2005/3720.
Council of Science Editors:
Ameen MM. Analysis of Thick Laminated Composite Beams using Variational Asymptotic Method. [Masters Thesis]. Indian Institute of Science; 2018. Available from: http://etd.iisc.ac.in/handle/2005/3720

University of the Western Cape
9.
Ahmed, Hasim Abdalla Obaid.
Construction and analysis of efficient numerical methods to solve mathematical models of TB and HIV co-infection
.
Degree: 2011, University of the Western Cape
URL: http://hdl.handle.net/11394/1434
► The global impact of the converging dual epidemics of tuberculosis (TB) and human immunodeficiency virus (HIV) is one of the major public health challenges of…
(more)
▼ The global impact of the converging dual epidemics of tuberculosis (TB) and human immunodeficiency virus (HIV) is one of the major public health challenges of our time, because in many countries, human immunodeficiency virus (HIV) and mycobacterium tuberculosis (TB) are among the leading causes of morbidity and mortality. It is found that infection with HIV increases the risk of reactivating latent TB infection, and HIV-infected individuals who acquire new TB infections have high rates of disease progression. Research has shown that these two diseases are enormous public health burden, and unfortunately, not much has been done in terms of modeling the dynamics of HIV-TB co-infection at a population level. In this thesis, we study these models and design and analyze robust numerical methods to solve them. To proceed in this direction, first we study the sub-models and then the full model. The first sub-model describes the transmission dynamics of HIV that accounts for behavior change. The impact of HIV educational campaigns is also studied. Further, we explore the effects of behavior change and different responses of individuals to educational campaigns in a situation where individuals may not react immediately to these campaigns. This is done by considering a distributed time delay in the HIV sub-model. This leads to Hopf bifurcations around the endemic equilibria of the model. These bifurcations correspond to the existence of periodic solutions that oscillate around the equilibria at given thresholds. Further, we show how the delay can result in more HIV infections causing more increase in the HIV prevalence. Part of this study is then extended to study a co-infection model of HIV-TB. A thorough bifurcation
analysis is carried out for this model. Robust numerical methods are then designed and analyzed for these models. Comparative numerical results are also provided for each model.
Advisors/Committee Members: Patidar, Kailash C (advisor), Ouifki, Rachid (advisor).
Subjects/Keywords: Human Immunodeficiency Virus (HIV);
Tuberculosis (TB);
HIV-TB Co-infection;
Bifurcation analysis;
Local asymptotic stability;
Global asymptotic stability;
Convergence analysis
Record Details
Similar Records
Cite
Share »
Record Details
Similar Records
Cite
« Share





❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Ahmed, H. A. O. (2011). Construction and analysis of efficient numerical methods to solve mathematical models of TB and HIV co-infection
. (Thesis). University of the Western Cape. Retrieved from http://hdl.handle.net/11394/1434
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Ahmed, Hasim Abdalla Obaid. “Construction and analysis of efficient numerical methods to solve mathematical models of TB and HIV co-infection
.” 2011. Thesis, University of the Western Cape. Accessed March 07, 2021.
http://hdl.handle.net/11394/1434.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Ahmed, Hasim Abdalla Obaid. “Construction and analysis of efficient numerical methods to solve mathematical models of TB and HIV co-infection
.” 2011. Web. 07 Mar 2021.
Vancouver:
Ahmed HAO. Construction and analysis of efficient numerical methods to solve mathematical models of TB and HIV co-infection
. [Internet] [Thesis]. University of the Western Cape; 2011. [cited 2021 Mar 07].
Available from: http://hdl.handle.net/11394/1434.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Ahmed HAO. Construction and analysis of efficient numerical methods to solve mathematical models of TB and HIV co-infection
. [Thesis]. University of the Western Cape; 2011. Available from: http://hdl.handle.net/11394/1434
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
10.
Kyriakopoulou, Dimitra.
Asymptotic expansions of econometric estimators in time series models.
Degree: 2011, University of Piraeus (UNIPI); Πανεπιστήμιο Πειραιώς
URL: http://hdl.handle.net/10442/hedi/32147
► Techniques for approximating probability distributions like the Edgeworth expansion have a long history in time series models. The purpose of this thesis is to give…
(more)
▼ Techniques for approximating probability distributions like the Edgeworth expansion have a long history in time series models. The purpose of this thesis is to give a detailed study of the asymptotic properties of the Moving Average (MA) and the Exponential GARCH (EGARCH) models. Extending the results in Sargan (1976) [80] and Tanaka (1984) [87], we derive the asymptotic expansions of the distribution, the bias and the mean squared error of the MM and QML estimators of the first order autocorrelation and the MA parameter for the MA(1) model. It turns out that the asymptotic properties of the estimators depend on whether the mean of the process is known or estimated. A comparison of the moment expansions, either in terms of bias or MSE, reveals that there is not uniform superiority of neither of the estimators, when the mean of the process is estimated. This is also confirmed by simulations. In the zero-mean case, and on theoretical grounds, the QMLEs are superior to the MM ones in both bias and MSE terms. The results are important for bias correction and increasing the efficiency of the estimators. Next, we derive the bias approximations of the ML and QML estimators of the EGARCH(1,1) parameters and we check our theoretical results through simulations. With the approximate bias expressions up to O(1/T), we are then able to correct the bias of all estimators. To this end, a Monte Carlo exercise is conducted and the results are presented and discussed. We conclude that, for given sets of parameters values, the bias correction works satisfactory for all parameters. The results for the bias expressions can be used to formulate the approximate Edgeworth distribution of the estimators. Moreover, the asymptotic properties of EGARCH models are still largely unexplored and are considered difficult tasks (see e.g. Straumann and Mikosch, 2006) [83]. There is still no complete answer to the following questions: under which conditions do EGARCH processes have bounded first and second order variance derivatives? And under which conditions is the expectation of the supremum norm of the second order log-likelihood derivative finite, in a neighborhood around the true parameter value? These questions are important because the existence of such moment bounds permits the establishment of large sample statistical properties, such as the asymptotic normality of the QMLEs.
Subjects/Keywords: Econometrics; Asymptotic theory; Econometric models; Time-series analysis
Record Details
Similar Records
Cite
Share »
Record Details
Similar Records
Cite
« Share





❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Kyriakopoulou, D. (2011). Asymptotic expansions of econometric estimators in time series models. (Thesis). University of Piraeus (UNIPI); Πανεπιστήμιο Πειραιώς. Retrieved from http://hdl.handle.net/10442/hedi/32147
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Kyriakopoulou, Dimitra. “Asymptotic expansions of econometric estimators in time series models.” 2011. Thesis, University of Piraeus (UNIPI); Πανεπιστήμιο Πειραιώς. Accessed March 07, 2021.
http://hdl.handle.net/10442/hedi/32147.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Kyriakopoulou, Dimitra. “Asymptotic expansions of econometric estimators in time series models.” 2011. Web. 07 Mar 2021.
Vancouver:
Kyriakopoulou D. Asymptotic expansions of econometric estimators in time series models. [Internet] [Thesis]. University of Piraeus (UNIPI); Πανεπιστήμιο Πειραιώς; 2011. [cited 2021 Mar 07].
Available from: http://hdl.handle.net/10442/hedi/32147.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Kyriakopoulou D. Asymptotic expansions of econometric estimators in time series models. [Thesis]. University of Piraeus (UNIPI); Πανεπιστήμιο Πειραιώς; 2011. Available from: http://hdl.handle.net/10442/hedi/32147
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Texas A&M University
11.
Gao, Long.
Throughput and Delay Analysis in Cognitive Overlaid Networks.
Degree: PhD, Electrical Engineering, 2011, Texas A&M University
URL: http://hdl.handle.net/1969.1/ETD-TAMU-2009-12-7531
► Consider a cognitive overlaid network (CON) that has two tiers with different priorities: a primary tier vs. a secondary tier, which is an emerging network…
(more)
▼ Consider a cognitive overlaid network (CON) that has two tiers with different
priorities: a primary tier vs. a secondary tier, which is an emerging network scenario
with the advancement of cognitive radio (CR) technologies. The primary tier consists
of randomly distributed primary radios (PRs) of density n, which have an absolute
priority to access the spectrum. The secondary tier consists of randomly distributed
CRs of density m = n^y with y greater than or equal to 1, which can only access the spectrum opportunistically to limit the interference to PRs. In this dissertation, the fundamental limits
of such a network are investigated in terms of the
asymptotic throughput and packet
delay performance when m and n approaches infinity. The following two types of
CONs are considered: 1) selfish CONs, in which neither the primary tier nor the
secondary tier is willing to route the packets for the other, and 2) supportive CONs,
in which the secondary tier is willing to route the packets for the primary tier while
the primary tier does not. It is shown that in selfish CONs, both tiers can achieve
the same throughput and delay scaling laws as a stand-alone network. In supportive
CONs, the throughput and delay scaling laws of the primary tier could be significantly
improved with the aid of the secondary tier, while the secondary tier can still achieve
the same throughput and delay scaling laws as a stand-alone network. Finally, the
throughput and packet delay of a CON with a small number of nodes are investigated.
Specifically, we investigate the power and rate control schemes for multiple CR links in the same neighborhood, which operate over multiple channels (frequency bands)
in the presence of PRs with a delay constraint imposed on data transmission. By
further considering practical limitations in spectrum sensing, an efficient algorithm is
proposed to maximize the average sum-rate of the CR links over a finite time horizon
under the constraints on the CR-to-PR interference and the average transmit power
for each CR link. In the proposed algorithm, the PR occupancy of each channel is
modeled as a discrete-time Markov chain (DTMC). Based on such a model, a novel
power and rate control strategy based on dynamic programming (DP) is derived,
which is a function of the spectrum sensing output, the instantaneous channel gains
for the CR links, and the remaining power budget for the CR transmitter. Simulation results show that the proposed algorithm leads to a significant performance
improvement over heuristic algorithms.
Advisors/Committee Members: Cui, Shuguang (advisor), Xiong, Zixiang (committee member), Shakkottai, Srinivas (committee member), Ntaimo, Lewis (committee member).
Subjects/Keywords: Cognitive Radio; Throughput; Delay; Overlaid Networks; Scaling Laws; Asymptotic Analysis.
Record Details
Similar Records
Cite
Share »
Record Details
Similar Records
Cite
« Share





❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Gao, L. (2011). Throughput and Delay Analysis in Cognitive Overlaid Networks. (Doctoral Dissertation). Texas A&M University. Retrieved from http://hdl.handle.net/1969.1/ETD-TAMU-2009-12-7531
Chicago Manual of Style (16th Edition):
Gao, Long. “Throughput and Delay Analysis in Cognitive Overlaid Networks.” 2011. Doctoral Dissertation, Texas A&M University. Accessed March 07, 2021.
http://hdl.handle.net/1969.1/ETD-TAMU-2009-12-7531.
MLA Handbook (7th Edition):
Gao, Long. “Throughput and Delay Analysis in Cognitive Overlaid Networks.” 2011. Web. 07 Mar 2021.
Vancouver:
Gao L. Throughput and Delay Analysis in Cognitive Overlaid Networks. [Internet] [Doctoral dissertation]. Texas A&M University; 2011. [cited 2021 Mar 07].
Available from: http://hdl.handle.net/1969.1/ETD-TAMU-2009-12-7531.
Council of Science Editors:
Gao L. Throughput and Delay Analysis in Cognitive Overlaid Networks. [Doctoral Dissertation]. Texas A&M University; 2011. Available from: http://hdl.handle.net/1969.1/ETD-TAMU-2009-12-7531

University of Illinois – Chicago
12.
Xu, Miao.
Asymptotic Methods applied to an American Option under a CEV Process.
Degree: 2012, University of Illinois – Chicago
URL: http://hdl.handle.net/10027/8921
► We consider an American put option under the Constant Elasticity of Variance (CEV) process. This corresponds to a free boundary problem for a partial differential…
(more)
▼ We consider an American put option under the Constant Elasticity of Variance (CEV) process. This corresponds to a free boundary problem for a partial differential equation (PDE). We show that this free boundary satisfies a nonlinear integral equation, and analyze it in the limit of small ρ = 2r/ σ
2, where r is the interest rate and σ is the volatility. We find that the free boundary behaves differently for five ranges of time to expiry. We then analyze option price P(S,t), as a function of the asset price S and time to expiry t. We obtain the
asymptotic expansion of P as ρ → 0, first via an integral equation formulation, and then using the PDE satisfied by P, and analyzing it by perturbation theory and matched
asymptotic expansions.
Advisors/Committee Members: Knessl, Charles (advisor), Nicholls, David (committee member), Yang, Jie (committee member), Abramov, Rafael (committee member), Sclove, Stanley (committee member).
Subjects/Keywords: Asymptotic Methods; Partial Differential Equations; Mathematical Finance; Analysis
Record Details
Similar Records
Cite
Share »
Record Details
Similar Records
Cite
« Share





❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Xu, M. (2012). Asymptotic Methods applied to an American Option under a CEV Process. (Thesis). University of Illinois – Chicago. Retrieved from http://hdl.handle.net/10027/8921
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Xu, Miao. “Asymptotic Methods applied to an American Option under a CEV Process.” 2012. Thesis, University of Illinois – Chicago. Accessed March 07, 2021.
http://hdl.handle.net/10027/8921.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Xu, Miao. “Asymptotic Methods applied to an American Option under a CEV Process.” 2012. Web. 07 Mar 2021.
Vancouver:
Xu M. Asymptotic Methods applied to an American Option under a CEV Process. [Internet] [Thesis]. University of Illinois – Chicago; 2012. [cited 2021 Mar 07].
Available from: http://hdl.handle.net/10027/8921.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Xu M. Asymptotic Methods applied to an American Option under a CEV Process. [Thesis]. University of Illinois – Chicago; 2012. Available from: http://hdl.handle.net/10027/8921
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of Oxford
13.
Black, Jonathan Paul.
Mathematical modelling of electronic contact mechanisms in silicon photovoltaic cells.
Degree: PhD, 2015, University of Oxford
URL: https://ora.ox.ac.uk/objects/uuid:ff671215-5f05-4ef0-a876-3f474a8450c9
;
https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.711865
► In screen-printed silicon-crystalline solar cells, the contact resistance of a thin interfacial glass layer between the silicon and the silver electrode plays a limiting role…
(more)
▼ In screen-printed silicon-crystalline solar cells, the contact resistance of a thin interfacial glass layer between the silicon and the silver electrode plays a limiting role for electron transport. The motivation of this project is to gain increased understanding of the transport mechanisms of the electrons across this layer, which can be exploited to provide higher performance crystalline silicon solar cells. Our methodology throughout is to formulate and analyse mathematical models for the electron transport, based on the drift diffusion equations. In the first chapter we outline the problem and provide a summary of relevant theory. In Chapter 2 we formulate a one-dimensional model for electron transport across the glass layer, that we solve both numerically and by employing asymptotic techniques. Chapter 3 extends the model presented in Chapter 2 to two dimensions. To solve the two-dimensional model numerically we devise and validate a new spectral method. The short circuiting of current through thinner regions of the glass layer enables us to find limiting asymptotic expressions for the average current density for two different canonical glass layer profiles. In Chapter 4 we include quantum mechanical effects into the one-dimensional model outlined in Chapter 2 and find that they have a negligible effect on the contact resistance of the glass layer. We model the boundary effects present at the silicon emitter-glass interface in Chapter 5. Finally, in Chapter 6 we summarise our key results, suggest possible future work, and outline the implications of our work to crystalline silicon solar cell manufacturers.
Subjects/Keywords: 621.47; Applied Mathematics; Mathematical modelling; Asymptotic analysis; Electrochemical systems; Drift-diffusion
Record Details
Similar Records
Cite
Share »
Record Details
Similar Records
Cite
« Share





❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Black, J. P. (2015). Mathematical modelling of electronic contact mechanisms in silicon photovoltaic cells. (Doctoral Dissertation). University of Oxford. Retrieved from https://ora.ox.ac.uk/objects/uuid:ff671215-5f05-4ef0-a876-3f474a8450c9 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.711865
Chicago Manual of Style (16th Edition):
Black, Jonathan Paul. “Mathematical modelling of electronic contact mechanisms in silicon photovoltaic cells.” 2015. Doctoral Dissertation, University of Oxford. Accessed March 07, 2021.
https://ora.ox.ac.uk/objects/uuid:ff671215-5f05-4ef0-a876-3f474a8450c9 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.711865.
MLA Handbook (7th Edition):
Black, Jonathan Paul. “Mathematical modelling of electronic contact mechanisms in silicon photovoltaic cells.” 2015. Web. 07 Mar 2021.
Vancouver:
Black JP. Mathematical modelling of electronic contact mechanisms in silicon photovoltaic cells. [Internet] [Doctoral dissertation]. University of Oxford; 2015. [cited 2021 Mar 07].
Available from: https://ora.ox.ac.uk/objects/uuid:ff671215-5f05-4ef0-a876-3f474a8450c9 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.711865.
Council of Science Editors:
Black JP. Mathematical modelling of electronic contact mechanisms in silicon photovoltaic cells. [Doctoral Dissertation]. University of Oxford; 2015. Available from: https://ora.ox.ac.uk/objects/uuid:ff671215-5f05-4ef0-a876-3f474a8450c9 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.711865

Hong Kong University of Science and Technology
14.
Yang, Yaxing.
Estimation and inference for heavy-tailed threshold time series models.
Degree: 2016, Hong Kong University of Science and Technology
URL: http://repository.ust.hk/ir/Record/1783.1-87084
;
https://doi.org/10.14711/thesis-b1627129
;
http://repository.ust.hk/ir/bitstream/1783.1-87084/1/th_redirect.html
► This thesis develops the systematic procedures of statistical inference for the heavy-tailed threshold autoregressive (TAR) models and heavy-tailed multiple threshold double autoregressive (MTDAR) models, respectively.…
(more)
▼ This thesis develops the systematic procedures of statistical inference for the heavy-tailed threshold autoregressive (TAR) models and heavy-tailed multiple threshold double autoregressive (MTDAR) models, respectively. The asymptotic theory of the self-weighted least absolute deviation (SLAD) estimation for the TAR models and quasi-maximum exponential likelihood estimation (QMELE) for the MTDAR models are obtained. Since the objective functions of these two models involves the discontinuous threshold parameters, the arguments in this thesis are more demanding than the usual LAD estimation. To our knowledge, this is the first attempt to study the asymptotic theory for the estimation of the heavy-tailed threshold time series in the literature. This thesis also investigates the large sample theory of quasi-maximum likelihood estimator (QMLE) for a threshold GARCH model with unknown threshold parameter. Three empirical examples are given to illustrate the usefulness of these threshold models. All of these results are new and bridge a gap in the statistical literature of nonlinear time series.
Subjects/Keywords: Autoregression (Statistics)
; Time-series analysis
; GARCH model
; Asymptotic distribution (Probability theory)
Record Details
Similar Records
Cite
Share »
Record Details
Similar Records
Cite
« Share





❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Yang, Y. (2016). Estimation and inference for heavy-tailed threshold time series models. (Thesis). Hong Kong University of Science and Technology. Retrieved from http://repository.ust.hk/ir/Record/1783.1-87084 ; https://doi.org/10.14711/thesis-b1627129 ; http://repository.ust.hk/ir/bitstream/1783.1-87084/1/th_redirect.html
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Yang, Yaxing. “Estimation and inference for heavy-tailed threshold time series models.” 2016. Thesis, Hong Kong University of Science and Technology. Accessed March 07, 2021.
http://repository.ust.hk/ir/Record/1783.1-87084 ; https://doi.org/10.14711/thesis-b1627129 ; http://repository.ust.hk/ir/bitstream/1783.1-87084/1/th_redirect.html.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Yang, Yaxing. “Estimation and inference for heavy-tailed threshold time series models.” 2016. Web. 07 Mar 2021.
Vancouver:
Yang Y. Estimation and inference for heavy-tailed threshold time series models. [Internet] [Thesis]. Hong Kong University of Science and Technology; 2016. [cited 2021 Mar 07].
Available from: http://repository.ust.hk/ir/Record/1783.1-87084 ; https://doi.org/10.14711/thesis-b1627129 ; http://repository.ust.hk/ir/bitstream/1783.1-87084/1/th_redirect.html.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Yang Y. Estimation and inference for heavy-tailed threshold time series models. [Thesis]. Hong Kong University of Science and Technology; 2016. Available from: http://repository.ust.hk/ir/Record/1783.1-87084 ; https://doi.org/10.14711/thesis-b1627129 ; http://repository.ust.hk/ir/bitstream/1783.1-87084/1/th_redirect.html
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of Washington
15.
Yang, Yang.
The Effective Behavior of Thermoelectric Composites.
Degree: PhD, 2014, University of Washington
URL: http://hdl.handle.net/1773/26894
► Thermoelectric materials have attracted significant interests recently for their capability in converting heat directly into electricity and vice versa, and thus promise a wide range…
(more)
▼ Thermoelectric materials have attracted significant interests recently for their capability in converting heat directly into electricity and vice versa, and thus promise a wide range of energy and environmental applications. Despite their importance, there have been only very limited theoretical effort towards the
analysis and understanding of effective behavior of thermoelectric composites. In this work, we develop * a rigorous continuum
analysis on both bi-layered and core-shell thermoelectric composites, in which the distribution of temperature, electric potential, and heat flux are solved from the governing equations, and the effective thermoelectric properties defined through an equivalency principle; * a conversion efficiency
analysis of thermoelectric composites, using an idealized thermoelectric module; * a non-linear
asymptotic homogenization theory to understand the effective behavior of both one-dimensional and two-dimensional thermoelectric composites without macroscopic heterogeneity. We establish the unit cell problem, for which, the two dimensional numerical solution are obtained by a finite element method. The nonlinearly coupled thermoelectric transport equations are further homogenized, from which the macroscopic field distributions are derived with local fluctuation averaged out, and overall thermoelectric conversion efficiency is established. Through
analysis, we * demonstrate that higher figure of merit of thermoelectric composite than any of its constituents is indeed possible, excluding size and interfacial effects; * find out that the thermoelectric conversion efficiency of a composite can be enhanced by its constituents, with the mechanism responsible for the enhancement identified, and the upper bound established; * discover that the thermoelectric field distributions in the composite are different from those in a homogeneous material, and they are difficult to be fitted by homogeneous solution. We conclude that energy conversion efficiency of a thermoelectric composite is not bounded, and can be higher than all its constituents in the absence of size and interface effects. Furthermore, it is noted the effective properties defined by a set of equivalency principle depend on specific boundary conditions, resulting in effective figure of merit that is not correlated with thermoelectric conversion efficiency directly. The
analysis thus points toward a new route for developing high-performance thermoelectric materials, and provides considerable insight into the effective behavior of thermoelectric composites in terms of both design and optimization.
Advisors/Committee Members: Li, Jiangyu (advisor).
Subjects/Keywords: asymptotic analysis; homogenization; thermoelectric composites; Mechanical engineering; mechanical engineering
Record Details
Similar Records
Cite
Share »
Record Details
Similar Records
Cite
« Share





❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Yang, Y. (2014). The Effective Behavior of Thermoelectric Composites. (Doctoral Dissertation). University of Washington. Retrieved from http://hdl.handle.net/1773/26894
Chicago Manual of Style (16th Edition):
Yang, Yang. “The Effective Behavior of Thermoelectric Composites.” 2014. Doctoral Dissertation, University of Washington. Accessed March 07, 2021.
http://hdl.handle.net/1773/26894.
MLA Handbook (7th Edition):
Yang, Yang. “The Effective Behavior of Thermoelectric Composites.” 2014. Web. 07 Mar 2021.
Vancouver:
Yang Y. The Effective Behavior of Thermoelectric Composites. [Internet] [Doctoral dissertation]. University of Washington; 2014. [cited 2021 Mar 07].
Available from: http://hdl.handle.net/1773/26894.
Council of Science Editors:
Yang Y. The Effective Behavior of Thermoelectric Composites. [Doctoral Dissertation]. University of Washington; 2014. Available from: http://hdl.handle.net/1773/26894

Michigan State University
16.
Rho, Seunghwa.
Three essays on econometrics.
Degree: 2013, Michigan State University
URL: http://etd.lib.msu.edu/islandora/object/etd:3335
► Thesis Ph. D. Michigan State University. Economics 2013.
This dissertation consists of three chapters on econometrics. The first chapter, Are all firms inefficient? , is…
(more)
▼ Thesis Ph. D. Michigan State University. Economics 2013.
This dissertation consists of three chapters on econometrics. The first chapter, Are all firms inefficient? , is related to the stochastic frontier model of Aigner et al. (1977). In the usual stochastic frontier model, all firms are inefficient, because inefficiency is nonnegative and the probability that inefficiency is exactly zero equals zero. We modify this model by adding a parameter p which equals the probability that a firm is fully efficient. This model has also been considered by Kumbhakar et al. (2013). We extend their paper in several ways. We discuss some identification issues that arise if all firms are inefficient or no firms are inefficient. We show that the likelihood has a stationary point at parameters that indicate no inefficiency and that this point is a local maximum if the OLS residuals are positively skewed. We consider the case that a logit or probit model determines the probability of full efficiency in terms of some observable variables. Finally, we consider problems involved in testing the hypothesis that p = 0. We provide some simulations and an empirical example. The simulation results suggest that the proposed model appears to be useful when (i) it is reasonable to suppose that some firms are fully efficient, and (ii) the inefficiency levels of the inefficient firms are not small relative to statistical noise. The focus of the second and third chapters lies on asymptotic theory for test statistics in time series that are robust to heteroskedasticity and autocorrelation (HAC) especially under the fixed-b asymptotic framework proposed by Kiefer and Vogelsang (2005). In the second chapter, Serial Correlation Robust Inference with Missing Data, we investigate the properties of HAC robust test statistics when there is missing data. We characterize the time series with missing observations as amplitude modulated series following Parzen (1963). For estimation and inference this amounts to plugging in zeros for missing observations. We also investigate an alternative approach where the missing observations are simply ignored. There are three main theoretical findings. First, when the missing process is random and satisfies strong mixing conditions, HAC robust t and Wald statistics computed from the amplitude modulated series follow the usual fixed-b limits as in Kiefer and Vogelsang (2005). Second, when the missing process is non-random, the fixedb limits depend on the locations of missing observations but are otherwise pivotal. Third, when missing observations are ignored we obtain the surprising result that fixed-b limits of the robust t and Wald statistics have the standard fixed-b limits whether the missing process is random or non-random. We discuss methods for obtaining fixed-b critical values with a focus on bootstrap methods. We find that the naive i.i.d. bootstrap is the most effective and practical way to obtain fixed-b critical values when data is missing especially when the bootstrap…
Advisors/Committee Members: Schmidt, Peter J, Vogelsang, Timothy J, Amsler, Christine, Myers, Robert J.
Subjects/Keywords: Econometrics; Autocorrelation (Statistics); Econometrics – Asymptotic theory; Time-series analysis; Economics; Heteroskedasticity
Record Details
Similar Records
Cite
Share »
Record Details
Similar Records
Cite
« Share





❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Rho, S. (2013). Three essays on econometrics. (Thesis). Michigan State University. Retrieved from http://etd.lib.msu.edu/islandora/object/etd:3335
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Rho, Seunghwa. “Three essays on econometrics.” 2013. Thesis, Michigan State University. Accessed March 07, 2021.
http://etd.lib.msu.edu/islandora/object/etd:3335.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Rho, Seunghwa. “Three essays on econometrics.” 2013. Web. 07 Mar 2021.
Vancouver:
Rho S. Three essays on econometrics. [Internet] [Thesis]. Michigan State University; 2013. [cited 2021 Mar 07].
Available from: http://etd.lib.msu.edu/islandora/object/etd:3335.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Rho S. Three essays on econometrics. [Thesis]. Michigan State University; 2013. Available from: http://etd.lib.msu.edu/islandora/object/etd:3335
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
17.
Northington, Michael Carr.
Asymptotics of Carleman Polynomials for Level Curves of the Inverse of a Shifted Joukowsky Transformation.
Degree: M.S. in Mathematics, Mathematics, 2011, University of Mississippi
URL: https://egrove.olemiss.edu/etd/1325
► Let L be a level curve of the inverse of the shifted Joukowsky transformation w [special characters omitted] w − 1 + (w − 1)…
(more)
▼ Let L be a level curve of the inverse of the shifted Joukowsky transformation w [special characters omitted] w − 1 + (w − 1) –1, that is, [special characters omitted]In this thesis we investigate the
asymptotic properties of the sequence of polynomials that are orthonormal over the interior domain of L with respect to the area measure. We establish strong
asymptotic formulas describing the behavior of these polynomials (as their degree increases) at every point of the complex plane.
Advisors/Committee Members: Erwin Mina Diaz, Iwo Labuda, Gerard Buskes.
Subjects/Keywords: Asymptotic; Carleman; Complex Analysis; Joukowski; Joukowsky; Orthogonal Polynomials; Mathematics
Record Details
Similar Records
Cite
Share »
Record Details
Similar Records
Cite
« Share





❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Northington, M. C. (2011). Asymptotics of Carleman Polynomials for Level Curves of the Inverse of a Shifted Joukowsky Transformation. (Thesis). University of Mississippi. Retrieved from https://egrove.olemiss.edu/etd/1325
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Northington, Michael Carr. “Asymptotics of Carleman Polynomials for Level Curves of the Inverse of a Shifted Joukowsky Transformation.” 2011. Thesis, University of Mississippi. Accessed March 07, 2021.
https://egrove.olemiss.edu/etd/1325.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Northington, Michael Carr. “Asymptotics of Carleman Polynomials for Level Curves of the Inverse of a Shifted Joukowsky Transformation.” 2011. Web. 07 Mar 2021.
Vancouver:
Northington MC. Asymptotics of Carleman Polynomials for Level Curves of the Inverse of a Shifted Joukowsky Transformation. [Internet] [Thesis]. University of Mississippi; 2011. [cited 2021 Mar 07].
Available from: https://egrove.olemiss.edu/etd/1325.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Northington MC. Asymptotics of Carleman Polynomials for Level Curves of the Inverse of a Shifted Joukowsky Transformation. [Thesis]. University of Mississippi; 2011. Available from: https://egrove.olemiss.edu/etd/1325
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of New Mexico
18.
Lin, Yong.
Contributions to linear models : lack-of-fit test and linear model with singular covariance matrices.
Degree: Mathematics & Statistics, 2013, University of New Mexico
URL: http://hdl.handle.net/1928/22051
► Linear models are statistical models that are linear in their parameters. This class of models include traditional regression, ANOVA, ACOVA, mixed models and even many…
(more)
▼ Linear models are statistical models that are linear in their parameters. This class of models include traditional regression, ANOVA, ACOVA, mixed models and even many time series models. They can be extended into generalized linear models in which case the parameters are still linear, but they are not linearly associated with the dependent variables. This dissertation contributes in two directions. First, it proposes and studies new lack-of-fit tests. Su and Wei (1991) proposed a lack-of-fit test based on partial sums of residuals. They computed P values using an unusual bootstrapping simulation. However, the simulation can not be performed for even moderate numbers of predictor variables because it is prohibitively time consuming. I examine the nature of their bootstrap simulation and argue that it reduces the power of Su and Weis test. I modify their test for linear models and propose two lack-of-fit tests based on partial sums of residuals. I find the non-normal limiting distributions for both tests and small sample corrections that enable more precise calculation of 0.05 cut-offs. Empirical sizes and powers are studied for both tests in small samples. In the second contribution, I studied the linear model with singular covariance matrix. In these models, frequently there exists estimable functions of that are known with probability 1. Traditional methods of
analysis employ a psuedo-covariance matrix that gives BLUEs and tests that are appropriate for the actual covariance matrix V . Contrary to traditional methods of adjusting V , I decompose into known and unknown parts and adjust X to allow estimation and testing of the unknown part of . Specifically, I adjust this model, Y = X + e, to get an equivalent model, Y − X 0 = Xv + e, where X 0 is a known vector, then perform estimation and tests on this equivalent model. The equivalence of the models is studied.
Advisors/Committee Members: Christensen, Ronald, Bedrick, Edward, Erhardt, Erik, Sonkson, Michael.
Subjects/Keywords: Linear models (Statistics); Analysis of covariance; Asymptotic distribution (Probability theory)
Record Details
Similar Records
Cite
Share »
Record Details
Similar Records
Cite
« Share





❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Lin, Y. (2013). Contributions to linear models : lack-of-fit test and linear model with singular covariance matrices. (Doctoral Dissertation). University of New Mexico. Retrieved from http://hdl.handle.net/1928/22051
Chicago Manual of Style (16th Edition):
Lin, Yong. “Contributions to linear models : lack-of-fit test and linear model with singular covariance matrices.” 2013. Doctoral Dissertation, University of New Mexico. Accessed March 07, 2021.
http://hdl.handle.net/1928/22051.
MLA Handbook (7th Edition):
Lin, Yong. “Contributions to linear models : lack-of-fit test and linear model with singular covariance matrices.” 2013. Web. 07 Mar 2021.
Vancouver:
Lin Y. Contributions to linear models : lack-of-fit test and linear model with singular covariance matrices. [Internet] [Doctoral dissertation]. University of New Mexico; 2013. [cited 2021 Mar 07].
Available from: http://hdl.handle.net/1928/22051.
Council of Science Editors:
Lin Y. Contributions to linear models : lack-of-fit test and linear model with singular covariance matrices. [Doctoral Dissertation]. University of New Mexico; 2013. Available from: http://hdl.handle.net/1928/22051

University of Manchester
19.
Livesey, Daniel Joseph.
On pulsatile jets and related flows.
Degree: 2017, University of Manchester
URL: http://www.manchester.ac.uk/escholar/uk-ac-man-scw:307445
► An overview of unsteady incompressible jet flows is presented, with the primary interest being radially developing jets in cylindrical polar coordinates. The radial \emph{free} jet…
(more)
▼ An overview of unsteady incompressible jet flows is
presented, with the primary interest being radially developing jets
in cylindrical polar coordinates. The radial \emph{free} jet
emanates from some orifice, being axisymmetric about the transverse
(z) axis and possessing reflectional symmetry across its z=0
centreline. The radial \emph{wall} jet is also axisymmetric about
the transverse axis, however in this case impermeability and
no-slip conditions are imposed at the wall, which is situated at
z=0.The numerical solution of a linear perturbation superposed on
the free jet, whose temporal form is assumed to be driven by a
periodic source pulsation, gives rise to a wave-like disturbance
whose amplitude grows downstream as its local wavelength decreases.
An
asymptotic analysis of this linear perturbation, which applies
to the wall jet as well with some minor changes, captures the exact
nature of the exponential spatial growth, and also algebraic
attenuation of the growth. The linear theory is only valid for a
small amplitude pulsation (|ε|\ll1, where ε is
the perturbation amplitude). When a nonlinear pulsation (ε
= O(1)) is applied to the radial free jet, any linear theory must
be dropped. Solving the full nonlinear system of equations reveals
singular behaviour at a critical downstream location, which
corresponds to the presence of an infinitely steep downstream
gradient.The replacement of molecular diffusivity with a
larger-scale eddy viscosity does little to affect the qualitative
growth of the linear perturbation. In order for an experimental
study to reproduce any of the discussed boundary-layer results, we
must consider the behaviour of jet-type flows at finite Reynolds
number. This involves solving the full Navier – Stokes equations
numerically, to determine the Reynolds number at which we should
expect to qualitatively recover boundary-layer behaviour. The
steady solution for the radial free jet and its linear pulsation
are studied in this way, as is the linear pulsatile planar free
jet.We may enhance the streamwise velocity of a radial jet by
applying swirl around the z axis. Modulating this swirl is looked
at as a possible mechanism to induce the previously discussed
pulsation, which then motivates the introduction of a finite
spinning disk problem. In this case the system may be completely
confined within an enclosed cylinder, making a hypothetical
experimental approach somewhat more approachable.
Advisors/Committee Members: DUCK, PETER PW, Duck, Peter, Hewitt, Richard.
Subjects/Keywords: Boundary layers; jets; plumes; wakes; fluid dynamics;
asymptotic stability analysis; DNS.
Record Details
Similar Records
Cite
Share »
Record Details
Similar Records
Cite
« Share





❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Livesey, D. J. (2017). On pulsatile jets and related flows. (Doctoral Dissertation). University of Manchester. Retrieved from http://www.manchester.ac.uk/escholar/uk-ac-man-scw:307445
Chicago Manual of Style (16th Edition):
Livesey, Daniel Joseph. “On pulsatile jets and related flows.” 2017. Doctoral Dissertation, University of Manchester. Accessed March 07, 2021.
http://www.manchester.ac.uk/escholar/uk-ac-man-scw:307445.
MLA Handbook (7th Edition):
Livesey, Daniel Joseph. “On pulsatile jets and related flows.” 2017. Web. 07 Mar 2021.
Vancouver:
Livesey DJ. On pulsatile jets and related flows. [Internet] [Doctoral dissertation]. University of Manchester; 2017. [cited 2021 Mar 07].
Available from: http://www.manchester.ac.uk/escholar/uk-ac-man-scw:307445.
Council of Science Editors:
Livesey DJ. On pulsatile jets and related flows. [Doctoral Dissertation]. University of Manchester; 2017. Available from: http://www.manchester.ac.uk/escholar/uk-ac-man-scw:307445

Purdue University
20.
Thete, Sumeet Suresh.
Singularities in Free Surface Flows.
Degree: PhD, Chemical Engineering, 2016, Purdue University
URL: https://docs.lib.purdue.edu/open_access_dissertations/1398
► Free surface flows where the shape of the interface separating two or more phases or liquids are unknown apriori, are commonplace in industrial applications and…
(more)
▼ Free surface flows where the shape of the interface separating two or more phases or liquids are unknown apriori, are commonplace in industrial applications and nature. Distribution of drop sizes, coalescence rate of drops, and the behavior of thin liquid films are crucial to understanding and enhancing industrial practices such as ink-jet printing, spraying, separations of chemicals, and coating flows. When a contiguous mass of liquid such as a drop, filament or a film undergoes breakup to give rise to multiple masses, the topological transition is accompanied with a finite-time singularity. Such singularity also arises when two or more masses of liquid merge into each other or coalesce. Thus the dynamics close to singularity determines the fate of about-to-form drops or films and applications they are involved in, and therefore needs to be analyzed precisely. The primary goal of this thesis is to resolve and analyze the dynamics close to singularity when free surface flows experience a topological transition, using a combination of theory, experiments, and numerical simulations.
Advisors/Committee Members: Osman A Basaran, Doraiswami Ramkrishna, Michael T Harris, Anil K Bajaj.
Subjects/Keywords: Asymptotic analysis; Complex Fluids; Drops; Finite Element Methods; Scaling; Self-similarity
Record Details
Similar Records
Cite
Share »
Record Details
Similar Records
Cite
« Share





❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Thete, S. S. (2016). Singularities in Free Surface Flows. (Doctoral Dissertation). Purdue University. Retrieved from https://docs.lib.purdue.edu/open_access_dissertations/1398
Chicago Manual of Style (16th Edition):
Thete, Sumeet Suresh. “Singularities in Free Surface Flows.” 2016. Doctoral Dissertation, Purdue University. Accessed March 07, 2021.
https://docs.lib.purdue.edu/open_access_dissertations/1398.
MLA Handbook (7th Edition):
Thete, Sumeet Suresh. “Singularities in Free Surface Flows.” 2016. Web. 07 Mar 2021.
Vancouver:
Thete SS. Singularities in Free Surface Flows. [Internet] [Doctoral dissertation]. Purdue University; 2016. [cited 2021 Mar 07].
Available from: https://docs.lib.purdue.edu/open_access_dissertations/1398.
Council of Science Editors:
Thete SS. Singularities in Free Surface Flows. [Doctoral Dissertation]. Purdue University; 2016. Available from: https://docs.lib.purdue.edu/open_access_dissertations/1398

University of Western Ontario
21.
Jiang, Weibin.
Asymptotic Theory of General Multivariate GARCH Models.
Degree: 2011, University of Western Ontario
URL: https://ir.lib.uwo.ca/etd/248
► Generalized autoregressive conditional heteroscedasticity (GARCH) models are widely used in financial markets. Parameters of GARCH models are usually estimated by the quasi-maximum likelihood estimator (QMLE).…
(more)
▼ Generalized autoregressive conditional heteroscedasticity (GARCH) models are widely used in financial markets. Parameters of GARCH models are usually estimated by the quasi-maximum likelihood estimator (QMLE). In recent years, economic theory often implies equilibrium between the levels of time series, which makes the application of multivariate models a necessity. Unfortunately the asymptotic theory of the multivariate GARCH models is far from coherent since many algorithms on the univariate case do not extend to multivariate models naturally. This thesis studies the asymptotic theory of the QMLE under mild conditions. We give some counterexamples for the parameter identifiability result in Jeantheau [1998] and provide a better necessary and sufficient condition. We prove the ergodicity of the conditional variance process on an application of theorems by Meyn and Tweedie [2009]. Under those conditions, the consistency and asymptotic normality of the QMLE can be proved by the standard compactness argument and Taylor expansion of the score function. We also give numeric example on verifying the assumptions and the scaling issue when estimating GARCH parameters in S+ FinMetrics.
Subjects/Keywords: General multivariate GARCH; asymptotic theory; ergodicity; stationarity; consistency; asymptotic normality; Longitudinal Data Analysis and Time Series
Record Details
Similar Records
Cite
Share »
Record Details
Similar Records
Cite
« Share





❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Jiang, W. (2011). Asymptotic Theory of General Multivariate GARCH Models. (Thesis). University of Western Ontario. Retrieved from https://ir.lib.uwo.ca/etd/248
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Jiang, Weibin. “Asymptotic Theory of General Multivariate GARCH Models.” 2011. Thesis, University of Western Ontario. Accessed March 07, 2021.
https://ir.lib.uwo.ca/etd/248.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Jiang, Weibin. “Asymptotic Theory of General Multivariate GARCH Models.” 2011. Web. 07 Mar 2021.
Vancouver:
Jiang W. Asymptotic Theory of General Multivariate GARCH Models. [Internet] [Thesis]. University of Western Ontario; 2011. [cited 2021 Mar 07].
Available from: https://ir.lib.uwo.ca/etd/248.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Jiang W. Asymptotic Theory of General Multivariate GARCH Models. [Thesis]. University of Western Ontario; 2011. Available from: https://ir.lib.uwo.ca/etd/248
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of Lethbridge
22.
University of Lethbridge. Faculty of Arts and Science.
Asymptotic existence of orthogonal designs
.
Degree: 2013, University of Lethbridge
URL: http://hdl.handle.net/10133/3595
► An orthogonal design of order n and type (si,..., se), denoted OD(n; si,..., se), is a square matrix X of order n with entries from…
(more)
▼ An orthogonal design of order n and type (si,..., se), denoted OD(n; si,..., se), is a square matrix X of order n with entries from {0, ±x1,..., ±xe}, where the Xj’s are commuting variables, that satisfies XX* = ^ ^g=1 sjx^j In, where X* denotes the transpose of X, and In is the identity matrix of order n.
An asymptotic existence of orthogonal designs is shown. More precisely, for any Atuple (s1,..., se) of positive integers, there exists an integer N = N(s1,..., se) such that for each n > N, there is an OD(2n(s1 + ... + se); 2ns1,..., 2nse). This result of Chapter 5 complements a result of Peter Eades et al. which in turn implies that if the positive integers s1, s2,..., se are all highly divisible by 2, then there is a full orthogonal design of type (s1, s2,..., se).
Some new classes of orthogonal designs related to weighing matrices are obtained in Chapter 3.
In Chapter 4, we deal with product designs and amicable orthogonal designs, and a construction method is presented.
Signed group orthogonal designs, a natural extension of orthogonal designs, are introduced in Chapter 6. Furthermore, an asymptotic existence of signed group orthogonal designs is obtained and applied to show the asymptotic existence of orthogonal designs.
Subjects/Keywords: orthogonal design;
asymptotic existence;
weighing matrices;
Algebras, Linear;
Mathematical analysis;
Asymptotic expansions;
Matrices;
Hadamard matrices;
Dissertations, Academic
Record Details
Similar Records
Cite
Share »
Record Details
Similar Records
Cite
« Share





❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Science, U. o. L. F. o. A. a. (2013). Asymptotic existence of orthogonal designs
. (Thesis). University of Lethbridge. Retrieved from http://hdl.handle.net/10133/3595
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Science, University of Lethbridge. Faculty of Arts and. “Asymptotic existence of orthogonal designs
.” 2013. Thesis, University of Lethbridge. Accessed March 07, 2021.
http://hdl.handle.net/10133/3595.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Science, University of Lethbridge. Faculty of Arts and. “Asymptotic existence of orthogonal designs
.” 2013. Web. 07 Mar 2021.
Vancouver:
Science UoLFoAa. Asymptotic existence of orthogonal designs
. [Internet] [Thesis]. University of Lethbridge; 2013. [cited 2021 Mar 07].
Available from: http://hdl.handle.net/10133/3595.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Science UoLFoAa. Asymptotic existence of orthogonal designs
. [Thesis]. University of Lethbridge; 2013. Available from: http://hdl.handle.net/10133/3595
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

UCLA
23.
Huang, Yafei.
Study of Differences in Behavior of Asymptotically Distribution Free Test Statistics in Covariance and Correlation Structure Analysis.
Degree: Statistics, 2013, UCLA
URL: http://www.escholarship.org/uc/item/0mc3q6g1
► The asymptotically distributed free (ADF) method is often used to estimate parameters or test models without a normal distribution assumptions on variables, both in covariance…
(more)
▼ The asymptotically distributed free (ADF) method is often used to estimate parameters or test models without a normal distribution assumptions on variables, both in covariance structure analysis and in correlation structure analysis. However, little has been done to study the differences in behaviors of the ADF method in covariance structure analysis and correlation structure analysis. In this thesis the behaviors of the ADF method in covariance structure analysis and correlation structure analysis were studied for three test statistics, chi-square test TAGLS and its small-sample improvements TYB and TF(AGLS). Results showed that the ADF method in correlation structure analysis with test statistic TAGLS performs much better at small sample sizes than the corresponding test for covariance structures. However, test statistics TYB and TF(AGLS) under the same conditions generally perform better with covariance structures than with correlation structures. Results also showed that condition numbers of weight matrices are systematically increased with substantial increase in variance as sample size decreases. Implications for research and practice are discussed.
Subjects/Keywords: Statistics; Asymptotic Distribution Free; Correlation Structure Analysis; Covariance Structure Analysis; Structural Equation Modeling
Record Details
Similar Records
Cite
Share »
Record Details
Similar Records
Cite
« Share





❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Huang, Y. (2013). Study of Differences in Behavior of Asymptotically Distribution Free Test Statistics in Covariance and Correlation Structure Analysis. (Thesis). UCLA. Retrieved from http://www.escholarship.org/uc/item/0mc3q6g1
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Huang, Yafei. “Study of Differences in Behavior of Asymptotically Distribution Free Test Statistics in Covariance and Correlation Structure Analysis.” 2013. Thesis, UCLA. Accessed March 07, 2021.
http://www.escholarship.org/uc/item/0mc3q6g1.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Huang, Yafei. “Study of Differences in Behavior of Asymptotically Distribution Free Test Statistics in Covariance and Correlation Structure Analysis.” 2013. Web. 07 Mar 2021.
Vancouver:
Huang Y. Study of Differences in Behavior of Asymptotically Distribution Free Test Statistics in Covariance and Correlation Structure Analysis. [Internet] [Thesis]. UCLA; 2013. [cited 2021 Mar 07].
Available from: http://www.escholarship.org/uc/item/0mc3q6g1.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Huang Y. Study of Differences in Behavior of Asymptotically Distribution Free Test Statistics in Covariance and Correlation Structure Analysis. [Thesis]. UCLA; 2013. Available from: http://www.escholarship.org/uc/item/0mc3q6g1
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Penn State University
24.
Rajan, Girish Kumar.
Surface Gravity Waves Propagating on Water of Finite, Variable Depth.
Degree: 2012, Penn State University
URL: https://submit-etda.libraries.psu.edu/catalog/16284
► The evolution of amplitudes of gravity waves propagating in one horizontal dimension on water of variable depth may be governed by a modified nonlinear Schrodinger…
(more)
▼ The evolution of amplitudes of gravity waves propagating in one horizontal dimension on water of variable depth may be governed by a modified nonlinear Schrodinger (MNLS) equation, in which the coefficients are functions of local depth and conservation of wave action flux adds a linear term, which implies growth or decay, depending on the direction of propagation. This work examines the propagation of gravity waves on water of variable depth, with and without viscous dissipation. With a combination of stability,
asymptotic and numerical analyses, we study the variable-depth Stokes wavetrain, waves with periodic cnoidal envelopes, and a soliton wave, as they propagate from shallower water to deeper water, and vice versa. We find that both bathymetry and viscous dissipation stabilize the Benjamin-Feir instability of a variable-depth Stokes wavetrain when the wavetrain propagates into shallower water. When waves propagate into deeper water, the effect due to bathymetry is reversed and tends to destabilize the waves. In both cases, however, viscous dissipation eventually causes stabilization, except for a special case in which the growth due to bathymetry and decay due to viscous dissipation balance. In that case, the dynamics are governed by the inviscid uniform-depth nonlinear Schrodinger (NLS) equation, and the Stokes wavetrain solution is unstable. Our numerical results on the stability of the soliton solution and the instability of the cnoidal solutions of the inviscid MNLS are consistent with analytical results in literature. Mathematical
analysis and numerical results on cnoidal waves also reveal that the
asymptotic solutions can reasonably predict the evolution of the waves for oceanic scales, where the wavelength of the wave is much smaller than the characteristic scale for the depth variation, but fails to do the same for laboratory scales, where the wavelength is not as small compared to the length scale representing the depth variation.
Advisors/Committee Members: Diane Marie Henderson, Thesis Advisor/Co-Advisor.
Subjects/Keywords: Modified NLS Equation; Variable Depth; Viscous Dissipation; Stability; Asymptotic Analysis; Numerical Analysis
Record Details
Similar Records
Cite
Share »
Record Details
Similar Records
Cite
« Share





❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Rajan, G. K. (2012). Surface Gravity Waves Propagating on Water of Finite, Variable Depth. (Thesis). Penn State University. Retrieved from https://submit-etda.libraries.psu.edu/catalog/16284
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Rajan, Girish Kumar. “Surface Gravity Waves Propagating on Water of Finite, Variable Depth.” 2012. Thesis, Penn State University. Accessed March 07, 2021.
https://submit-etda.libraries.psu.edu/catalog/16284.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Rajan, Girish Kumar. “Surface Gravity Waves Propagating on Water of Finite, Variable Depth.” 2012. Web. 07 Mar 2021.
Vancouver:
Rajan GK. Surface Gravity Waves Propagating on Water of Finite, Variable Depth. [Internet] [Thesis]. Penn State University; 2012. [cited 2021 Mar 07].
Available from: https://submit-etda.libraries.psu.edu/catalog/16284.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Rajan GK. Surface Gravity Waves Propagating on Water of Finite, Variable Depth. [Thesis]. Penn State University; 2012. Available from: https://submit-etda.libraries.psu.edu/catalog/16284
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Utah State University
25.
Wang, Qi.
Asymptotic Multiphysics Modeling of Composite Beams.
Degree: PhD, Mechanical and Aerospace Engineering, 2011, Utah State University
URL: https://digitalcommons.usu.edu/etd/1066
► A series of composite beam models are constructed for efficient high-fidelity beam analysis based on the variational-asymptotic method (VAM). Without invoking any a priori…
(more)
▼ A series of composite beam models are constructed for efficient high-fidelity beam
analysis based on the variational-
asymptotic method (VAM). Without invoking any a priori kinematic assumptions, the original three-dimensional, geometrically nonlinear beam problem is rigorously split into a two-dimensional cross-sectional
analysis and a one-dimensional global beam
analysis, taking advantage of the geometric small parameter that is an inherent property of the structure.
The thermal problem of composite beams is studied first. According to the quasisteady theory of thermoelasticity, two beam models are proposed: one for heat conduction
analysis and the other for thermoelastic
analysis. For heat conduction
analysis, two different types of thermal loads are modeled: with and without prescribed temperatures over the crosssections. Then a thermoelastic beam model is constructed under the previously solved thermal field. This model is also extended for composite materials, which removed the restriction on temperature variations and added the dependence of material properties with respect to temperature based on Kovalenoko’s small-strain thermoelasticity theory.
Next the VAM is applied to model the multiphysics behavior of beam structure. A multiphysics beam model is proposed to capture the piezoelectric, piezomagnetic, pyroelectric, pyromagnetic, and hygrothermal effects. For the zeroth-order approximation, the classical models are in the form of Euler-Bernoulli beam theory. In the refined theory, generalized Timoshenko models have been developed, including two transverse shear strain measures. In order to avoid ill-conditioned matrices, a scaling method for multiphysics modeling is also presented. Three-dimensional field quantities are recovered from the one-dimensional variables obtained from the global beam
analysis.
A number of numerical examples of different beams are given to demonstrate the application and accuracy of the present theory. Excellent agreements between the results obtained by the current models and those obtained by three-dimensional finite element
analysis, analytical solutions, and those available in the literature can be observed for all the cross-sectional variables. The present beam theory has been implemented into the computer program VABS (Variational
Asymptotic Beam Sectional
Analysis).
Advisors/Committee Members: Wenbin Yu, Steven L. Folkman, Thomas H. Fronk, ;.
Subjects/Keywords: Composite Beam Structure; Finite Element Method; Multiphysics Analysis; Thermoelastic Analysis; Variational-Asymptotic Method; Mechanical Engineering
Record Details
Similar Records
Cite
Share »
Record Details
Similar Records
Cite
« Share





❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Wang, Q. (2011). Asymptotic Multiphysics Modeling of Composite Beams. (Doctoral Dissertation). Utah State University. Retrieved from https://digitalcommons.usu.edu/etd/1066
Chicago Manual of Style (16th Edition):
Wang, Qi. “Asymptotic Multiphysics Modeling of Composite Beams.” 2011. Doctoral Dissertation, Utah State University. Accessed March 07, 2021.
https://digitalcommons.usu.edu/etd/1066.
MLA Handbook (7th Edition):
Wang, Qi. “Asymptotic Multiphysics Modeling of Composite Beams.” 2011. Web. 07 Mar 2021.
Vancouver:
Wang Q. Asymptotic Multiphysics Modeling of Composite Beams. [Internet] [Doctoral dissertation]. Utah State University; 2011. [cited 2021 Mar 07].
Available from: https://digitalcommons.usu.edu/etd/1066.
Council of Science Editors:
Wang Q. Asymptotic Multiphysics Modeling of Composite Beams. [Doctoral Dissertation]. Utah State University; 2011. Available from: https://digitalcommons.usu.edu/etd/1066

Michigan State University
26.
Carlton, Michael Anthony.
Multivariate fractional response models in a panel setting with an application to portfolio allocation.
Degree: 2013, Michigan State University
URL: http://etd.lib.msu.edu/islandora/object/etd:1236
► Thesis Ph. D. Michigan State University, Economics 2013.
Several papers use subjective survival probabilities as a measure of mortality risk in studying economic behavior. The…
(more)
▼ Thesis Ph. D. Michigan State University, Economics 2013.
Several papers use subjective survival probabilities as a measure of mortality risk in studying economic behavior. The first chapter "Wealth Holdings, Asset Allocation and Mortality: A Test of the Information Content of Subjective Survival Probabilities" studies whether subjective survival probability measures contain any additional information that can explain differential wealth holdings and asset allocation among households. We find some evidence that survival probabilities can explain differences in household wealth holding and allocation once we control for other factors that affect decision-making. We also find that the estimated impact of subjective survival is sensitive to the inclusion of reported survival probabilities of one.Some fractional response variables, like the proportion of financial wealth allocated across multiple assets, must satisfy an adding up restriction. In the second chapter "A Model for Multivariate Fractional Responses with an Application to Asset Allocation", we develop a two-step procedure where we estimate a model with multiple fractional response variables exploiting the fact that these variables sum to one in each period and are correlated over time. The first step entails estimation of the multivariate fractional responses using the multinomial quasi-likelihood function which explicitly imposes the adding-up restriction and the second step uses the Classical Minimum Distance estimator to account for serial correlation.Many panel data estimators implicitly assume that we have a balanced panel at our disposal. Unfortunately this is rarely the case and dropping observations is an unsatisfactory solution to the problem. Estimation of fractional responses in a panel requires assumptions about the distribution of the unobserved effect and its relationship with observables, which requires special treatment in an unbalanced panel. In the third chapter, "Estimation of a Multivariate Fractional Response Model with Unbalanced Panel Data", we extend the approach in Wooldridge (2010) to the case of multiple fractional responses and apply this to unbalanced panel data on the allocation of financial wealth across several assets.
Description based on online resource; title from PDF t.p. (viewed on Nov. 4, 2013).
Advisors/Committee Members: Wooldridge, Jeffrey M, Haider, Steven J, Elder, Todd E, Dimmock, Stephen G.
Subjects/Keywords: Portfolio management; Asset allocation; Panel analysis; Econometrics – Asymptotic theory; Multivariate analysis; Economics
Record Details
Similar Records
Cite
Share »
Record Details
Similar Records
Cite
« Share





❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Carlton, M. A. (2013). Multivariate fractional response models in a panel setting with an application to portfolio allocation. (Thesis). Michigan State University. Retrieved from http://etd.lib.msu.edu/islandora/object/etd:1236
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Carlton, Michael Anthony. “Multivariate fractional response models in a panel setting with an application to portfolio allocation.” 2013. Thesis, Michigan State University. Accessed March 07, 2021.
http://etd.lib.msu.edu/islandora/object/etd:1236.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Carlton, Michael Anthony. “Multivariate fractional response models in a panel setting with an application to portfolio allocation.” 2013. Web. 07 Mar 2021.
Vancouver:
Carlton MA. Multivariate fractional response models in a panel setting with an application to portfolio allocation. [Internet] [Thesis]. Michigan State University; 2013. [cited 2021 Mar 07].
Available from: http://etd.lib.msu.edu/islandora/object/etd:1236.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Carlton MA. Multivariate fractional response models in a panel setting with an application to portfolio allocation. [Thesis]. Michigan State University; 2013. Available from: http://etd.lib.msu.edu/islandora/object/etd:1236
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Texas Tech University
27.
Lee, Eun-Joo.
Estimating linear functionals of indirectly observed input functionals.
Degree: Mathematics, 2004, Texas Tech University
URL: http://hdl.handle.net/2346/11230
► We consider the usual estimator of a linear functional of the unknown input function in indirect nonparametric regression models. The unknown regression function which is…
(more)
▼ We consider the usual estimator of a linear functional of the unknown input function in indirect nonparametric regression models. The unknown regression function which is the parameter of interest, is infinite dimensional. Since the output is an integral transform of the input, this transformation must be inverted to recover the input. Because such an inversion is, in general, unbounded, regularization of the inverse will be required. Since a function in a separable Hilbert space has a Fourier expansion in an orthonormal basis the Fourier coefficients will be estimated in order to recover the input. Regularization of the inverse boils down to tapering the expansion with the estimated Fourier coefficients, which would otherwise not converge. In any case this shows that estimating Fourier coefficients and linear functionals in general is an important issue. It is surprising to see that the traditional estimator of the Fourier coefficients is not asymptotically efficient according to the Hajek-LeCam convoluteion theorem. Since this estimator, however, is -y/n-consistent, it can be improved in an asymptotic sense. A simulation study is included to establish the practical effect of this asymptotic result. In this dissertation, the theory is presented in a self-contained manner. This means that a complete derivation of theorems like Hajek's convolution theorem and the theorem on possible improvement of n-consistent estimators will be given.
Subjects/Keywords: Regression analysis – Asymptotic theory; Estimation theory – Asymptotic theory; Input-output analysis; Functionals
Record Details
Similar Records
Cite
Share »
Record Details
Similar Records
Cite
« Share





❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Lee, E. (2004). Estimating linear functionals of indirectly observed input functionals. (Thesis). Texas Tech University. Retrieved from http://hdl.handle.net/2346/11230
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Lee, Eun-Joo. “Estimating linear functionals of indirectly observed input functionals.” 2004. Thesis, Texas Tech University. Accessed March 07, 2021.
http://hdl.handle.net/2346/11230.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Lee, Eun-Joo. “Estimating linear functionals of indirectly observed input functionals.” 2004. Web. 07 Mar 2021.
Vancouver:
Lee E. Estimating linear functionals of indirectly observed input functionals. [Internet] [Thesis]. Texas Tech University; 2004. [cited 2021 Mar 07].
Available from: http://hdl.handle.net/2346/11230.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Lee E. Estimating linear functionals of indirectly observed input functionals. [Thesis]. Texas Tech University; 2004. Available from: http://hdl.handle.net/2346/11230
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

NSYSU
28.
Wu , Chao-yi.
Low-Complexity Semiblind Channel Estimation in Massive MU-MIMO Systems.
Degree: Master, Communications Engineering, 2016, NSYSU
URL: http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0025116-113355
► Massive multi-user multiple-input multiple-output systems have become a key technology to achieve requirements of high throughput and robust transmission for next generation mobile communications. Optimum…
(more)
▼ Massive multi-user multiple-input multiple-output systems have become a key technology to achieve requirements of high throughput and robust transmission for next generation mobile communications. Optimum transceiver design in such systems highly relies on accurate channel state information, while the problem of pilot contamination will severely degrade the accuracy of channel estimates. In this thesis, we propose a low-complexity semiblind channel estimation algorithm to mitigate the effects of pilot contamination. We first project the received signals onto the subspace which is suffered with less interference. To reduce computational complexity, the bases of the subspace are obtained recursively by the modified power method. By exploiting a small number of pilot symbols, we can find the initial estimate of the projected channel coefficients. Finally, we detect data symbols and refine the channel estimate alternatively to eliminate the effect of pilot contamination. The complexity of our algorithm is low because of the subspace projection and innovation process. We also analyze mean square error (MSE) of the proposed channel estimate asymptotically, and it shows that the MSE are inversely proportional to the length of data symbols. Therefore, the proposed algorithm can be enhanced by increasing data length. Simulation results demonstrate that the proposed algorithm outperforms the existing works and can alleviate the effect of pilot contamination effectively.
Advisors/Committee Members: Fan-Shuo Tseng (chair), Wei-Ho Chung (chair), Wan-Jen Huang (committee member), Chih-Peng Li (chair).
Subjects/Keywords: Pilot contamination; Semiblind channel estimation; Massive MU-MIMO systems; Asymptotic analysis; Fifth Generation wireless systems
Record Details
Similar Records
Cite
Share »
Record Details
Similar Records
Cite
« Share





❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Wu , C. (2016). Low-Complexity Semiblind Channel Estimation in Massive MU-MIMO Systems. (Thesis). NSYSU. Retrieved from http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0025116-113355
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Wu , Chao-yi. “Low-Complexity Semiblind Channel Estimation in Massive MU-MIMO Systems.” 2016. Thesis, NSYSU. Accessed March 07, 2021.
http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0025116-113355.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Wu , Chao-yi. “Low-Complexity Semiblind Channel Estimation in Massive MU-MIMO Systems.” 2016. Web. 07 Mar 2021.
Vancouver:
Wu C. Low-Complexity Semiblind Channel Estimation in Massive MU-MIMO Systems. [Internet] [Thesis]. NSYSU; 2016. [cited 2021 Mar 07].
Available from: http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0025116-113355.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Wu C. Low-Complexity Semiblind Channel Estimation in Massive MU-MIMO Systems. [Thesis]. NSYSU; 2016. Available from: http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0025116-113355
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of Waterloo
29.
Aoki, Yasunori.
Analysis of Asymptotic Solutions for Cusp Problems in Capillarity.
Degree: 2007, University of Waterloo
URL: http://hdl.handle.net/10012/3352
► The capillary surface u(x,y) near a cusp region satisfies the boundary value problem: \begin{eqnarray} ∇ ∙ \frac{∇ u}{√{1+ ≤ ft|∇ u )|2}}&=&κ u {in } ≤ ft{(x,y): 0<x,f2(x)<y<f1(x))}\,, \label{0.1}\\…
(more)
▼ The capillary surface u(x,y) near a cusp region satisfies the boundary value problem:
\begin{eqnarray}
∇ ∙ \frac{∇ u}{√{1+ ≤ ft|∇ u )|2}}&=&κ u {in } ≤ ft{(x,y): 0<x,f2(x)<y<f1(x))}\,, \label{0.1}\\
ν ∙ \frac{∇ u}{√{1+ ≤ ft|∇ u )|2}}&=& \cos γ1 {on } y=f1(x)\,,\\
ν ∙ \frac{∇ u}{√{1+ ≤ ft|∇ u )|2}}&=& \cos γ2 {on } y=f2(x)\,, \label{0.3}
\end{eqnarray}
where \limx → 0f1(x),f2(x)=0, \limx → 0f'1(x),f'2(x)=0.
It is shown that the capillary surface is unbounded at the cusp and satisfies u(x,y)=O ≤ ft(\frac{1}{f1(x)-f2(x)})), even for types of cusp not investigated previously (e.g. exponential cusps).
By using a tangent cylinder coordinate system, we show that the exact solution v(x,y) of the boundary value problem:
\begin{eqnarray}
∇ ∙ \frac{∇ v}{ ≤ ft|∇ v )|}&=&κ v {in } ≤ ft{(x,y): 0<x,f2(x)<y<f1(x))}\,,\\
ν ∙ \frac{∇ v}{ ≤ ft|∇ v )|}&=& \cos γ1 {on } y=f1(x)\,,\\
ν ∙ \frac{∇ v}{ ≤ ft|∇ v )|}&=& \cos γ2 {on } y=f2(x)\,,
\end{eqnarray}
exhibits sixth order asymptotic accuracy to the capillary equations~\eqref{0.1}-\eqref{0.3} near a circular cusp.
Finally, we show that the solution is bounded and can be defined to be continuous at a symmetric cusp (f1(x)=-f2(x)) with the supplementary contact angles (γ2=π-γ1). Also it is shown that the solution surface is of the order O ≤ ft(f1(x))), and moreover, the formal asymptotic series for a symmetric circular cusp region is derived.
Subjects/Keywords: Capillarity; Asymptotic Analysis; Cusp; Approximate Solution
Record Details
Similar Records
Cite
Share »
Record Details
Similar Records
Cite
« Share





❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Aoki, Y. (2007). Analysis of Asymptotic Solutions for Cusp Problems in Capillarity. (Thesis). University of Waterloo. Retrieved from http://hdl.handle.net/10012/3352
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Aoki, Yasunori. “Analysis of Asymptotic Solutions for Cusp Problems in Capillarity.” 2007. Thesis, University of Waterloo. Accessed March 07, 2021.
http://hdl.handle.net/10012/3352.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Aoki, Yasunori. “Analysis of Asymptotic Solutions for Cusp Problems in Capillarity.” 2007. Web. 07 Mar 2021.
Vancouver:
Aoki Y. Analysis of Asymptotic Solutions for Cusp Problems in Capillarity. [Internet] [Thesis]. University of Waterloo; 2007. [cited 2021 Mar 07].
Available from: http://hdl.handle.net/10012/3352.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Aoki Y. Analysis of Asymptotic Solutions for Cusp Problems in Capillarity. [Thesis]. University of Waterloo; 2007. Available from: http://hdl.handle.net/10012/3352
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of Oxford
30.
Thomson, Stuart.
Mathematical modelling of elastoplasticity at high stress.
Degree: PhD, 2017, University of Oxford
URL: http://ora.ox.ac.uk/objects/uuid:a7d565c6-abeb-4932-8c1e-aebc38da7584
;
https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.748848
► This thesis is concerned with the mathematical modelling of elastic-plastic deformation in regimes of stress far exceeding the yield stress. Such scenarios are typically encountered…
(more)
▼ This thesis is concerned with the mathematical modelling of elastic-plastic deformation in regimes of stress far exceeding the yield stress. Such scenarios are typically encountered in violent impact testing, where millimetre-thick samples of metal are subjected to pressures on the order of the bulk modulus of the material. We begin with an overview of violent impact testing, with particular attention paid to a specific class of experiments known as isentropic compression experiments (ICEs), which will provide motivation for the mathematical modelling and analysis in subsequent chapters. In chapter 2, by appealing to sound notions from rational mechanics and thermodynamics, we construct a mathematical model which aims to encapsulate the essential phenomena involved in violent elastic-plastic deformation. This is followed in chapter 3 with a numerical analysis of the mathematical model in uniaxial strain, which is the geometry relevant ICEs. In chapters 4 and 5, we corroborate the observations made in chapter 3 via a systematic mathematical analysis. In particular, our focus will be on the elastic and plastic waves that can propagate through finite metal samples during isentropic compression. Finally, in chapter 6, we explore the applicability of our model to other geometries, specifically the radially axisymmetric expansion of a circular cavity embedded in an infinite elastic-plastic medium. We conclude with a summary of our findings and suggest some avenues for future investigation.
Subjects/Keywords: 620.1; Industrial mathematics; Solid mechanics; Mathematical modelling; Elasticity; Equation of state; Plasticity; Asymptotic analysis
Record Details
Similar Records
Cite
Share »
Record Details
Similar Records
Cite
« Share





❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Thomson, S. (2017). Mathematical modelling of elastoplasticity at high stress. (Doctoral Dissertation). University of Oxford. Retrieved from http://ora.ox.ac.uk/objects/uuid:a7d565c6-abeb-4932-8c1e-aebc38da7584 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.748848
Chicago Manual of Style (16th Edition):
Thomson, Stuart. “Mathematical modelling of elastoplasticity at high stress.” 2017. Doctoral Dissertation, University of Oxford. Accessed March 07, 2021.
http://ora.ox.ac.uk/objects/uuid:a7d565c6-abeb-4932-8c1e-aebc38da7584 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.748848.
MLA Handbook (7th Edition):
Thomson, Stuart. “Mathematical modelling of elastoplasticity at high stress.” 2017. Web. 07 Mar 2021.
Vancouver:
Thomson S. Mathematical modelling of elastoplasticity at high stress. [Internet] [Doctoral dissertation]. University of Oxford; 2017. [cited 2021 Mar 07].
Available from: http://ora.ox.ac.uk/objects/uuid:a7d565c6-abeb-4932-8c1e-aebc38da7584 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.748848.
Council of Science Editors:
Thomson S. Mathematical modelling of elastoplasticity at high stress. [Doctoral Dissertation]. University of Oxford; 2017. Available from: http://ora.ox.ac.uk/objects/uuid:a7d565c6-abeb-4932-8c1e-aebc38da7584 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.748848
◁ [1] [2] [3] [4] [5] [6] [7] [8] ▶
.