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Rutgers University
1.
Yan, Xi, 1985-.
Statistical analysis of dynamic risk neutral density, dynamic cross-sectional distribution and portfolio optimization.
Degree: PhD, Statistics and Biostatistics, 2019, Rutgers University
URL: https://rucore.libraries.rutgers.edu/rutgers-lib/62066/
► This dissertation focuses on developing new statistical methods for analyzing and modeling financial time series. The first part of this dissertation discusses modeling of functional…
(more)
▼ This dissertation focuses on developing new statistical methods for analyzing and modeling financial time series. The first part of this dissertation discusses modeling of functional and distributional time series, assuming the series are driven by a finite dimensional underlying feature process. Functional time series are commonly observed in finance and difficult to model mainly due to high dimensionality. We instead focus on a low-dimensional latent feature process and connect it with the original functional time series through generalized state-space models. A state-space model assumes that observations are driven by an underlying dynamic state process and is widely used in many fields. We propose a generalized two-stage Sequential Monte Carlo (SMC) joint estimation framework to model functional time series driven by its feature process through state-space models and perform on-line estimations and predictions. In order to improve computation efficiency, we also implement parallel computing and re-design computation algorithms to integrate with non-linear optimization and SMC calculations.
Two financial applications are presented to demonstrate the robustness and efficiency of our proposed framework. The first application aims to extract and model the daily implied risk neutral densities from observed call option prices. We view the underlying risk neutral density as a functional time series driven by its feature process and model it with a parametric mixed log-normal distribution through a state-space model. We conduct both simulation and empirical studies and compare prediction performance of our models with that of random walk models. Empirically, the proposed models improves prediction performance significantly. The second financial application studies daily cross-sectional distribution of 1000 largest market capitalization stock returns from year 1991 to year 2002. Similarly we view cross-sectional distribution as a functional time series driven by its feature process and model it with a four-parameter generalized skewed t-distribution. Using proposed two-stage SMC joint estimation framework, we build models separately for different market conditions, including the dot-com crisis. In both bearish and bullish markets, prediction performances of our models gain substantial improvement comparing with random walk models.
The second part of dissertation presents a new portfolio optimization strategy for minimum variance portfolios with constraints on short-sale and transaction costs. Unlike traditional mean-variance theory, our method minimizes only the portfolio risk and uses analysts' consensus ratings to pre-screen stocks. An empirical study of S&P 500 stocks from year 1990 to year 2009 is conducted to demonstrate effectiveness. We show that portfolios constructed and optimized using our strategy deliver considerable improvement of performance in terms of Sharpe ratio comparing with benchmark portfolios and portfolios in past literatures.
Advisors/Committee Members: Chen, Rong (chair), Xiao, Han (internal member), Tan, Zhiqiang (internal member), Lin, Ming (outside member), School of Graduate Studies.
Subjects/Keywords: Functional time series; Time-series analysis
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APA (6th Edition):
Yan, Xi, 1. (2019). Statistical analysis of dynamic risk neutral density, dynamic cross-sectional distribution and portfolio optimization. (Doctoral Dissertation). Rutgers University. Retrieved from https://rucore.libraries.rutgers.edu/rutgers-lib/62066/
Chicago Manual of Style (16th Edition):
Yan, Xi, 1985-. “Statistical analysis of dynamic risk neutral density, dynamic cross-sectional distribution and portfolio optimization.” 2019. Doctoral Dissertation, Rutgers University. Accessed April 16, 2021.
https://rucore.libraries.rutgers.edu/rutgers-lib/62066/.
MLA Handbook (7th Edition):
Yan, Xi, 1985-. “Statistical analysis of dynamic risk neutral density, dynamic cross-sectional distribution and portfolio optimization.” 2019. Web. 16 Apr 2021.
Vancouver:
Yan, Xi 1. Statistical analysis of dynamic risk neutral density, dynamic cross-sectional distribution and portfolio optimization. [Internet] [Doctoral dissertation]. Rutgers University; 2019. [cited 2021 Apr 16].
Available from: https://rucore.libraries.rutgers.edu/rutgers-lib/62066/.
Council of Science Editors:
Yan, Xi 1. Statistical analysis of dynamic risk neutral density, dynamic cross-sectional distribution and portfolio optimization. [Doctoral Dissertation]. Rutgers University; 2019. Available from: https://rucore.libraries.rutgers.edu/rutgers-lib/62066/

University of Johannesburg
2.
Human, Johannes Urbanus.
Some aspects of harmonic time series analysis.
Degree: PhD, 2012, University of Johannesburg
URL: http://hdl.handle.net/10210/4275
► Harmonic time series are often used to describe the periodic nature of a time series, for example the periodic nature of a variable star’s observed…
(more)
▼ Harmonic time series are often used to describe the periodic nature of a time series, for example the periodic nature of a variable star’s observed light curve. Statistical methods for determining the number of harmonic components to include in harmonic time series are limited. In this thesis a stepwise bootstrap procedure based on a F-type statistic is suggested. The performance of the stepwise procedure is compared to that of Schwartz’s Bayesian Criterion (SBC) and a procedure based on a statistic described by Siegel (1980). Harmonic series with correlated noise terms and irregularly spaced observations are also considered. Tests to detect changes in harmonic parameters are also derived in this thesis. A cumulative sum statistic to test for constant amplitude is derived. It is shown that testing for constant amplitude is equivalent to testing for constant slope in simple linear regression. We also derive a likelihood ratio statistic to test for constant amplitude. It is shown that the latter likelihood ratio statistic is asymptotically equivalent to the cumulative sum statistic. These statistics are compared to a quadratic form statistic used by Koen (2009). Likelihood ratio tests are also derived for detecting changes in the frequency or phase of harmonic time series. Graphical devices to aid in diagnostic checking are suggested.
Subjects/Keywords: Harmonic analysis; Time-series analysis
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❌
APA ·
Chicago ·
MLA ·
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APA (6th Edition):
Human, J. U. (2012). Some aspects of harmonic time series analysis. (Doctoral Dissertation). University of Johannesburg. Retrieved from http://hdl.handle.net/10210/4275
Chicago Manual of Style (16th Edition):
Human, Johannes Urbanus. “Some aspects of harmonic time series analysis.” 2012. Doctoral Dissertation, University of Johannesburg. Accessed April 16, 2021.
http://hdl.handle.net/10210/4275.
MLA Handbook (7th Edition):
Human, Johannes Urbanus. “Some aspects of harmonic time series analysis.” 2012. Web. 16 Apr 2021.
Vancouver:
Human JU. Some aspects of harmonic time series analysis. [Internet] [Doctoral dissertation]. University of Johannesburg; 2012. [cited 2021 Apr 16].
Available from: http://hdl.handle.net/10210/4275.
Council of Science Editors:
Human JU. Some aspects of harmonic time series analysis. [Doctoral Dissertation]. University of Johannesburg; 2012. Available from: http://hdl.handle.net/10210/4275

The Ohio State University
3.
Michel, Jonathan R.
Essays in Nonlinear Time Series Analysis.
Degree: PhD, Economics, 2019, The Ohio State University
URL: http://rave.ohiolink.edu/etdc/view?acc_num=osu1555001297904158
► This dissertation consists of six papers. Each of these papers are on a different aspect of statistical analysis of nonlinear time series. In the first…
(more)
▼ This dissertation consists of six papers. Each of
these papers are on a different aspect of statistical
analysis of
nonlinear
time series. In the first paper, we study the behavior of
a nonstationary
time series which has different behavior for
``high" and ``low" levels. This consists of the introduction of a
new nonlinear
time series model, a mathematical
analysis of the
functional limit theorem for this model, a statistical test for
behavior similar to this new model, and a proposed technique for
robust cointegration in the presence of this new model. The second
paper consists of an extension of this idea into volatility
modeling.The third paper considers experimental design and sampling
of Markov chains. In particular, it focuses on how to feasibly
optimally sample a continuous two-state Markov chain.The fourth
paper is on integer valued
time series. The focus here is on
studying the properties of the INGARCH(1,1) model in the
nonstationary case. This consists of applying mathematical
machinery rarely used in econometrics. Additionally, in this paper
extensions towards stationarity tests are considered.The fifth
paper studies the dynamic Tobit, a
time series model often used
when data is censored below. In this paper, weak dependence and
mixing properties are shown to hold, which is relevant for studying
the statistical properties of estimation for this model.The sixth
paper studies the reciprocal of the random walk. This is relevant
in
time series econometrics as such a process is a possible model
for
time series with a stochastic diminishing trend.
Advisors/Committee Members: de Jong, Robert (Advisor).
Subjects/Keywords: Economics; Time Series Analysis, Nonstationary time series, Mixing,
Nonlinear Time Series
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Michel, J. R. (2019). Essays in Nonlinear Time Series Analysis. (Doctoral Dissertation). The Ohio State University. Retrieved from http://rave.ohiolink.edu/etdc/view?acc_num=osu1555001297904158
Chicago Manual of Style (16th Edition):
Michel, Jonathan R. “Essays in Nonlinear Time Series Analysis.” 2019. Doctoral Dissertation, The Ohio State University. Accessed April 16, 2021.
http://rave.ohiolink.edu/etdc/view?acc_num=osu1555001297904158.
MLA Handbook (7th Edition):
Michel, Jonathan R. “Essays in Nonlinear Time Series Analysis.” 2019. Web. 16 Apr 2021.
Vancouver:
Michel JR. Essays in Nonlinear Time Series Analysis. [Internet] [Doctoral dissertation]. The Ohio State University; 2019. [cited 2021 Apr 16].
Available from: http://rave.ohiolink.edu/etdc/view?acc_num=osu1555001297904158.
Council of Science Editors:
Michel JR. Essays in Nonlinear Time Series Analysis. [Doctoral Dissertation]. The Ohio State University; 2019. Available from: http://rave.ohiolink.edu/etdc/view?acc_num=osu1555001297904158

Nelson Mandela Metropolitan University
4.
Mlambo, Farai Fredric.
Good's casualty for time series: a regime-switching framework.
Degree: Faculty of Science, 2014, Nelson Mandela Metropolitan University
URL: http://hdl.handle.net/10948/6018
► Causal analysis is a significant role-playing field in the applied sciences such as statistics, econometrics, and technometrics. Particularly, probability-raising models have warranted significant research interest.…
(more)
▼ Causal analysis is a significant role-playing field in the applied sciences such as statistics, econometrics, and technometrics. Particularly, probability-raising models have warranted significant research interest. Most of the discussions in this area are philosophical in nature. Contemporarily, the econometric causality theory, developed by C.J.W. Granger, is popular in practical, time series causal applications. While this type of causality technique has many strong features, it has serious limitations. The processes studied, in particular, should be stationary and causal relationships are restricted to be linear. However, we cannot classify regime-switching processes as linear and stationary. I.J. Good proposed a probabilistic, event-type explication of causality that circumvents some of the limitations of Granger’s methodology. This work uses the probability raising causality ideology, as postulated by Good, to propose some causal analysis methodology applicable in a stochastic, non-stationary domain. There is a proposal made for a Good’s causality test, by transforming the originally specified probabilistic causality theory from random events to a stochastic, regime-switching framework. The researcher performed methodological validation via causality simulations for a Markov, regime-switching model. The proposed test can be used to detect whether none stochastic process is causal to the observed behaviour of another, probabilistically. In particular, the regime-switch causality explication proposed herein is pivotal to the results articulated. This research also examines the power of the proposed test by using simulations, and outlines some steps that one may take in using the test in a practical setting.
Subjects/Keywords: Time-series analysis; Econometrics
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Mlambo, F. F. (2014). Good's casualty for time series: a regime-switching framework. (Thesis). Nelson Mandela Metropolitan University. Retrieved from http://hdl.handle.net/10948/6018
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):
Mlambo, Farai Fredric. “Good's casualty for time series: a regime-switching framework.” 2014. Thesis, Nelson Mandela Metropolitan University. Accessed April 16, 2021.
http://hdl.handle.net/10948/6018.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Mlambo, Farai Fredric. “Good's casualty for time series: a regime-switching framework.” 2014. Web. 16 Apr 2021.
Vancouver:
Mlambo FF. Good's casualty for time series: a regime-switching framework. [Internet] [Thesis]. Nelson Mandela Metropolitan University; 2014. [cited 2021 Apr 16].
Available from: http://hdl.handle.net/10948/6018.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Mlambo FF. Good's casualty for time series: a regime-switching framework. [Thesis]. Nelson Mandela Metropolitan University; 2014. Available from: http://hdl.handle.net/10948/6018
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of Georgia
5.
Slaughter, Justin Michael.
Small-sample prediction of estimated loss potentials.
Degree: 2014, University of Georgia
URL: http://hdl.handle.net/10724/24496
► This thesis constructs predictions for the 2003 General Liability premises and operations estimated loss potentials (ELPs) for Manufacturers and Contractors (MC) and Owners, Landlords, and…
(more)
▼ This thesis constructs predictions for the 2003 General Liability premises and operations estimated loss potentials (ELPs) for Manufacturers and Contractors (MC) and Owners, Landlords, and Tenants (OLT). The dataset contains yearly ELPs from
1990-2002 for 23 MC class codes and 57 OLT class codes, which came from three Insurance Services O ce (ISO) circulars. Bootstrapping was performed on the MC and OLT 2003 predicted ELPs to be able to construct 95% con dence intervals. In spite of the
small series, the results appear to be good.
Subjects/Keywords: Actuarial; Bootstrapping; Time-Series Analysis
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Slaughter, J. M. (2014). Small-sample prediction of estimated loss potentials. (Thesis). University of Georgia. Retrieved from http://hdl.handle.net/10724/24496
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):
Slaughter, Justin Michael. “Small-sample prediction of estimated loss potentials.” 2014. Thesis, University of Georgia. Accessed April 16, 2021.
http://hdl.handle.net/10724/24496.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Slaughter, Justin Michael. “Small-sample prediction of estimated loss potentials.” 2014. Web. 16 Apr 2021.
Vancouver:
Slaughter JM. Small-sample prediction of estimated loss potentials. [Internet] [Thesis]. University of Georgia; 2014. [cited 2021 Apr 16].
Available from: http://hdl.handle.net/10724/24496.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Slaughter JM. Small-sample prediction of estimated loss potentials. [Thesis]. University of Georgia; 2014. Available from: http://hdl.handle.net/10724/24496
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Queens University
6.
Rahim, Karim.
Applications of Multitaper Spectral Analysis to Nonstationary Data
.
Degree: Mathematics and Statistics, 2014, Queens University
URL: http://hdl.handle.net/1974/12584
► This thesis is concerned with changes in the spectrum over time observed in Holocene climate data as recorded in the Burgundy grape harvest date series.…
(more)
▼ This thesis is concerned with changes in the spectrum over time observed in Holocene climate data as recorded in the Burgundy grape harvest date series. These changes represent nonstationarities, and while spectral estimation techniques are relatively robust in the presence of nonstationarity – that is, they are able to detect significant contributions to power at a given frequency in cases where the contribution to power at that given frequency is not constant over time – estimation and prediction can be improved by considering nonstationarity. We propose improving spectral estimation by considering such changes. Specifically, we propose estimating the level of change in frequency over time, detecting change-point(s) and sectioning the time series into stationary segments. We focus on locating a change in frequency domain in time, and propose a graphical technique to detect spectral changes over time. We test the estimation technique in simulation, and then apply it to the Burgundy grape harvest date series. The Burgundy grape harvest date series was selected to demonstrate the introduced estimator and methodology because the time series is equally spaced, has few missing values, and a multitaper spectral analysis, which the methodology proposed in this thesis is based on, of the grape harvest date series was recently published. In addition, we propose a method using a test for goodness-of-fit of autoregressive estimators to aid in assessment of change in spectral properties over time.
This thesis has four components: (1) introduction and study of a level-of-change estimator for use in the frequency domain change-point detection, (2) spectral analysis of the Burgundy grape harvest date series, (3) goodness-of-fit estimates for autoregressive processes, and (4) introduction of a statistical software package for multitaper spectral analysis. We present four results. (1) We introduce and demonstrate the feasibility of a level-of-change estimator. (2) We present a spectral analysis and coherence study of the Burgundy grape harvest date series that includes locating a change-point. (3) We present a study showing an advantage using multitaper spectral estimates when calculating autocorrelation coefficients. And (4) we introduce an R software package, available on the CRAN, to perform multitaper spectral estimation.
Subjects/Keywords: Spectral Analysis
;
Time Series
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Rahim, K. (2014). Applications of Multitaper Spectral Analysis to Nonstationary Data
. (Thesis). Queens University. Retrieved from http://hdl.handle.net/1974/12584
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):
Rahim, Karim. “Applications of Multitaper Spectral Analysis to Nonstationary Data
.” 2014. Thesis, Queens University. Accessed April 16, 2021.
http://hdl.handle.net/1974/12584.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Rahim, Karim. “Applications of Multitaper Spectral Analysis to Nonstationary Data
.” 2014. Web. 16 Apr 2021.
Vancouver:
Rahim K. Applications of Multitaper Spectral Analysis to Nonstationary Data
. [Internet] [Thesis]. Queens University; 2014. [cited 2021 Apr 16].
Available from: http://hdl.handle.net/1974/12584.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Rahim K. Applications of Multitaper Spectral Analysis to Nonstationary Data
. [Thesis]. Queens University; 2014. Available from: http://hdl.handle.net/1974/12584
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Hong Kong University of Science and Technology
7.
Wu, Degang.
Coupling analysis in time series using information theory and dynamical systems theory.
Degree: 2016, Hong Kong University of Science and Technology
URL: http://repository.ust.hk/ir/Record/1783.1-87522
;
https://doi.org/10.14711/thesis-b1736171
;
http://repository.ust.hk/ir/bitstream/1783.1-87522/1/th_redirect.html
► Inferring causality from observations of different entities is central to science. Time series is an important form of observations in subjects ranging from physics, geology…
(more)
▼ Inferring causality from observations of different entities is central to science. Time series is an important form of observations in subjects ranging from physics, geology and medicine to finance. Although non-experimental observations such as time series measured from geological entities and financial markets are in general never sufficient for causality inference in the strictest sense, couplings inferred from non-experimental time series are still strong hints for causality. Linear methods such as Granger causality, and nonlinear methods such as transfer entropy, have been developed for coupling inference in binary time series or even multiple time series. Among nonlinear method, there are methods such as Cross Convergent Mapping (CCM) which assumes the process under investigation is deterministic and methods such as transfer entropy in principle can accommodate stochastic processes. In this work, we combine CCM and Holstein’s embedding criterion, a criterion based on information entropy, to create an algorithm that is more sensitive than CCM.
Subjects/Keywords: Time-series analysis
; Mathematical models
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Wu, D. (2016). Coupling analysis in time series using information theory and dynamical systems theory. (Thesis). Hong Kong University of Science and Technology. Retrieved from http://repository.ust.hk/ir/Record/1783.1-87522 ; https://doi.org/10.14711/thesis-b1736171 ; http://repository.ust.hk/ir/bitstream/1783.1-87522/1/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):
Wu, Degang. “Coupling analysis in time series using information theory and dynamical systems theory.” 2016. Thesis, Hong Kong University of Science and Technology. Accessed April 16, 2021.
http://repository.ust.hk/ir/Record/1783.1-87522 ; https://doi.org/10.14711/thesis-b1736171 ; http://repository.ust.hk/ir/bitstream/1783.1-87522/1/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):
Wu, Degang. “Coupling analysis in time series using information theory and dynamical systems theory.” 2016. Web. 16 Apr 2021.
Vancouver:
Wu D. Coupling analysis in time series using information theory and dynamical systems theory. [Internet] [Thesis]. Hong Kong University of Science and Technology; 2016. [cited 2021 Apr 16].
Available from: http://repository.ust.hk/ir/Record/1783.1-87522 ; https://doi.org/10.14711/thesis-b1736171 ; http://repository.ust.hk/ir/bitstream/1783.1-87522/1/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:
Wu D. Coupling analysis in time series using information theory and dynamical systems theory. [Thesis]. Hong Kong University of Science and Technology; 2016. Available from: http://repository.ust.hk/ir/Record/1783.1-87522 ; https://doi.org/10.14711/thesis-b1736171 ; http://repository.ust.hk/ir/bitstream/1783.1-87522/1/th_redirect.html
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Delft University of Technology
8.
Klop, Stijn (author).
From observation well to model area: Estimating groundwater levels spatially using time series analysis.
Degree: 2019, Delft University of Technology
URL: http://resolver.tudelft.nl/uuid:362f6b0f-b3aa-41c6-b47e-b625c963d8a0
► Estimating groundwater levels spatially using time series analysis. With time series analysis a response function of an observation well is determined. The response function is…
(more)
▼ Estimating groundwater levels spatially using time series analysis. With time series analysis a response function of an observation well is determined. The response function is used to calibrate a conceptual groundwater model. This conceptual model is used to estimate groundwater levels in an area.
Water Management
Advisors/Committee Members: Bakker, Mark (mentor), Schoups, Gerrit (graduation committee), Tiberius, Christiaan (graduation committee), Schaars, Frans (mentor), Delft University of Technology (degree granting institution).
Subjects/Keywords: Groundwater; time series analysis
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APA ·
Chicago ·
MLA ·
Vancouver ·
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to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Klop, S. (. (2019). From observation well to model area: Estimating groundwater levels spatially using time series analysis. (Masters Thesis). Delft University of Technology. Retrieved from http://resolver.tudelft.nl/uuid:362f6b0f-b3aa-41c6-b47e-b625c963d8a0
Chicago Manual of Style (16th Edition):
Klop, Stijn (author). “From observation well to model area: Estimating groundwater levels spatially using time series analysis.” 2019. Masters Thesis, Delft University of Technology. Accessed April 16, 2021.
http://resolver.tudelft.nl/uuid:362f6b0f-b3aa-41c6-b47e-b625c963d8a0.
MLA Handbook (7th Edition):
Klop, Stijn (author). “From observation well to model area: Estimating groundwater levels spatially using time series analysis.” 2019. Web. 16 Apr 2021.
Vancouver:
Klop S(. From observation well to model area: Estimating groundwater levels spatially using time series analysis. [Internet] [Masters thesis]. Delft University of Technology; 2019. [cited 2021 Apr 16].
Available from: http://resolver.tudelft.nl/uuid:362f6b0f-b3aa-41c6-b47e-b625c963d8a0.
Council of Science Editors:
Klop S(. From observation well to model area: Estimating groundwater levels spatially using time series analysis. [Masters Thesis]. Delft University of Technology; 2019. Available from: http://resolver.tudelft.nl/uuid:362f6b0f-b3aa-41c6-b47e-b625c963d8a0

Rutgers University
9.
Liu, Xialu, 1986-.
New models and methods for time series analysis in big data era.
Degree: PhD, Statistics and Biostatistics, 2015, Rutgers University
URL: https://rucore.libraries.rutgers.edu/rutgers-lib/47468/
► In big data era, available information becomes massive and complex and is often observed over time. Conventional time series models are limited in capability of…
(more)
▼ In big data era, available information becomes massive and complex and is often observed over time. Conventional time series models are limited in capability of dealing with these type of data. This dissertation focuses on developing new statistical models, along with their associated estimation procedures, to analyze time series data in functional form, and in high dimension, with linear or nonlinear dynamics, which can be broadly applicable to finance, environment, engineering, biological and medical sciences. Functional data analysis has became an increasingly popular class of problems in statistical research. However, functional data observed over time with serial dependence remains a less studied area. Motivated by Bosq (2000), who worst introduced the functional autoregressive (FAR) models, we propose a convolutional functional autoregressive (CFAR) model, where the function at time t is a result of the sum of convolutions of the past functions with a set of convolution functions, plus a noise process, mimicking the autoregressive process. It provides an intuitive and direct interpretation of the dynamics of a stochastic process. We adopt a sieve estimation procedure based on the B-spline approximation of the convolution functions. We establish convergence rate of the proposed estimator, and investigate its theoretical properties. The model building, model validation, and prediction procedures are also developed. As for high-dimensional time series data, dimension reduction is an important issue and can be effectively performed by factor analysis. Considering the factor impacts may vary under different conditions, we propose a factor model with regime-switching mechanism, allowing loadings to change across regimes, and combined eigendecomposition and Viterbi algorithm for estimation. We discover that, with multiple states of different 'strength', the convergence rate of loading matrix estimator for strong states is the same as the one-regime case, while the rate improves for weak states, gaining extra information from strong states. The theoretical properties of the procedure are investigated as well. In addition, we propose a new class of nonparametric seasonal time series models under the framework of the functional coefficient model. The coefficients in the proposed model change over time and consist of the trend and seasonal components to characterize seasonality. A local linear approach is developed to estimate the nonparametric trend and seasonal effect functions. The proposed methodologies are illustrated by two simulated examples and the model is applied to characterizing the seasonality of the monthly number of tourists visiting Hawaii.
Advisors/Committee Members: Chen, Rong (chair), Xiao, Han (internal member), Dicker, Lee (internal member), Lin, Xiaodong (outside member).
Subjects/Keywords: Time-series analysis; Big data
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Liu, Xialu, 1. (2015). New models and methods for time series analysis in big data era. (Doctoral Dissertation). Rutgers University. Retrieved from https://rucore.libraries.rutgers.edu/rutgers-lib/47468/
Chicago Manual of Style (16th Edition):
Liu, Xialu, 1986-. “New models and methods for time series analysis in big data era.” 2015. Doctoral Dissertation, Rutgers University. Accessed April 16, 2021.
https://rucore.libraries.rutgers.edu/rutgers-lib/47468/.
MLA Handbook (7th Edition):
Liu, Xialu, 1986-. “New models and methods for time series analysis in big data era.” 2015. Web. 16 Apr 2021.
Vancouver:
Liu, Xialu 1. New models and methods for time series analysis in big data era. [Internet] [Doctoral dissertation]. Rutgers University; 2015. [cited 2021 Apr 16].
Available from: https://rucore.libraries.rutgers.edu/rutgers-lib/47468/.
Council of Science Editors:
Liu, Xialu 1. New models and methods for time series analysis in big data era. [Doctoral Dissertation]. Rutgers University; 2015. Available from: https://rucore.libraries.rutgers.edu/rutgers-lib/47468/

Rutgers University
10.
Chang, Kun.
Topics in compositional, seasonal and spatial-temporal time series.
Degree: PhD, Statistics and Biostatistics, 2015, Rutgers University
URL: https://rucore.libraries.rutgers.edu/rutgers-lib/48411/
► This dissertation studies several topics in time series modeling. The discussion on seasonal time series, compositional time series and spatial-temporal time series brings new insight…
(more)
▼ This dissertation studies several topics in time series modeling. The discussion on seasonal time series, compositional time series and spatial-temporal time series brings new insight to the existing methods. Innovative methodologies are developed for modeling and forecasting purposes. These topics are not isolated but to naturally support each other under rigorous discussions. A variety of real examples are presented from economics, social science and geoscience areas. The second chapter introduces a new class of seasonal time series models, treating the seasonality as a stable composition through time. With the objective of forecasting the sum of the next ell observations, the concept of rolling season is adopted and a structure of rolling conditional distribution is formulated under the compositional time series framework. The probabilistic properties, the estimation and prediction, and the forecasting performance of the model are studied and demonstrated with simulation and real examples. The third chapter focuses on the discussion of compositional time series theories in multivariate models. It provides an idea to the modeling procedure of the multivariate time series that has sum constraints at each time. It also proposes a joint MLE method for threshold vector-error correction models. This chapter interprets the methodologies with an real example of the U.S. household consumption expenditures data. Threshold cointegration effects are analyzed on the U.S. real GDP growth rate. The estimation of TVECM is compared by the current two-step estimation method and the proposed joint MLE approach. Sensor allocation problem is studied in Chapter 4 under spatial-temporal models in Gaussian random fields. Given observations from existing sensors, the problem is solved by minimizing the integrated conditional variance based on different forecasting purposes. In this chapter, the time series are measured at different locations with both spatial and time series correlations. The spatial-temporal covariance structure is extensively discussed under both separable and nonseparable cases. The model is finally applied to the ozone level measurements in Harris County, Texas.
Advisors/Committee Members: Chen, Rong (chair), Xie, Minge (internal member), Xiao, Han (internal member), Cheng, Jerry (outside member).
Subjects/Keywords: Time-series analysis; Prediction theory
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Chang, K. (2015). Topics in compositional, seasonal and spatial-temporal time series. (Doctoral Dissertation). Rutgers University. Retrieved from https://rucore.libraries.rutgers.edu/rutgers-lib/48411/
Chicago Manual of Style (16th Edition):
Chang, Kun. “Topics in compositional, seasonal and spatial-temporal time series.” 2015. Doctoral Dissertation, Rutgers University. Accessed April 16, 2021.
https://rucore.libraries.rutgers.edu/rutgers-lib/48411/.
MLA Handbook (7th Edition):
Chang, Kun. “Topics in compositional, seasonal and spatial-temporal time series.” 2015. Web. 16 Apr 2021.
Vancouver:
Chang K. Topics in compositional, seasonal and spatial-temporal time series. [Internet] [Doctoral dissertation]. Rutgers University; 2015. [cited 2021 Apr 16].
Available from: https://rucore.libraries.rutgers.edu/rutgers-lib/48411/.
Council of Science Editors:
Chang K. Topics in compositional, seasonal and spatial-temporal time series. [Doctoral Dissertation]. Rutgers University; 2015. Available from: https://rucore.libraries.rutgers.edu/rutgers-lib/48411/

University of Oxford
11.
Lim, Si Jie Bryan.
Deep learning for time series prediction and decision making over time.
Degree: PhD, 2020, University of Oxford
URL: http://ora.ox.ac.uk/objects/uuid:38843c7a-2123-4b5d-8454-2ae35a7ed6ce
;
https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.823533
► In this thesis, we develop a collection of state-of-the-art deep learning models for time series forecasting. Primarily focusing on a closer alignment with traditional methods…
(more)
▼ In this thesis, we develop a collection of state-of-the-art deep learning models for time series forecasting. Primarily focusing on a closer alignment with traditional methods in time series modelling, we adopt three main directions of research – 1) novel architectures, 2) hybrid models, and 3) feature extraction. Firstly, we propose two new architectures for general one-step-ahead and multi-horizon forecasting. With the Recurrent Neural Filter (RNF), we take a closer look at the relationship between recurrent neural networks and Bayesian filtering, so as to improve representation learning for one-step-ahead forecasts. For multi-horizon forecasting, we propose the Temporal Fusion Transformer (TFT) – an attention-based model designed to accommodate the full range of inputs present in common problem scenarios. Secondly, we investigate the use of hybrid models to enhance traditional quantitative models with deep learning components – using domain-specific knowledge can be used to guide neural network training. Through applications in finance (Deep Momentum Networks) and medicine (Disease-Atlas), we demonstrate that hybrid models can effectively improve forecasting performance over pure methods in either category. Finally, we explore the feature learning capabilities of deep neural networks to devise features for general forecasting models. Considering an application in systemic risk management, we devise the Autoencoder Reconstruction Ratio (ARR) – an indicator to measure the degree of co-movement between asset returns. When fed as an input into a variety of models, we show that the ARR can help to improve short-term predictions of various risk metrics. On top of improvements in forecasting performance, we also investigate extensions to enable decision support using deep neural networks, by helping users to better understand their data. With Recurrent Marginal Structural Networks (RMSNs), we introduce a general framework to train deep neural networks to learn causal effects over time, using ideas from marginal structural modelling in epidemiology. In addition, we also propose three practical interpretability use-cases for the TFT, demonstrating how attention weights can be analysed to provide insights into temporal dynamics.
Subjects/Keywords: time series analysis; deep learning
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Lim, S. J. B. (2020). Deep learning for time series prediction and decision making over time. (Doctoral Dissertation). University of Oxford. Retrieved from http://ora.ox.ac.uk/objects/uuid:38843c7a-2123-4b5d-8454-2ae35a7ed6ce ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.823533
Chicago Manual of Style (16th Edition):
Lim, Si Jie Bryan. “Deep learning for time series prediction and decision making over time.” 2020. Doctoral Dissertation, University of Oxford. Accessed April 16, 2021.
http://ora.ox.ac.uk/objects/uuid:38843c7a-2123-4b5d-8454-2ae35a7ed6ce ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.823533.
MLA Handbook (7th Edition):
Lim, Si Jie Bryan. “Deep learning for time series prediction and decision making over time.” 2020. Web. 16 Apr 2021.
Vancouver:
Lim SJB. Deep learning for time series prediction and decision making over time. [Internet] [Doctoral dissertation]. University of Oxford; 2020. [cited 2021 Apr 16].
Available from: http://ora.ox.ac.uk/objects/uuid:38843c7a-2123-4b5d-8454-2ae35a7ed6ce ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.823533.
Council of Science Editors:
Lim SJB. Deep learning for time series prediction and decision making over time. [Doctoral Dissertation]. University of Oxford; 2020. Available from: http://ora.ox.ac.uk/objects/uuid:38843c7a-2123-4b5d-8454-2ae35a7ed6ce ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.823533

Columbia University
12.
Yousuf, Kashif.
Essays in High Dimensional Time Series Analysis.
Degree: 2019, Columbia University
URL: https://doi.org/10.7916/d8-yfg6-4971
► Due to the rapid improvements in the information technology, high dimensional time series datasets are frequently encountered in a variety of fields such as macroeconomics,…
(more)
▼ Due to the rapid improvements in the information technology, high dimensional time series datasets are frequently encountered in a variety of fields such as macroeconomics, finance, neuroscience, and meteorology. Some examples in economics and finance include forecasting low frequency macroeconomic indicators, such as GDP or inflation rate, or financial asset returns using a large number of macroeconomic and financial time series and their lags as possible covariates. In these settings, the number of candidate predictors (pT) can be much larger than the number of samples (T), and accurate estimation and prediction is made possible by relying on some form of dimension reduction. Given this ubiquity of time series data, it is surprising that few works on high dimensional statistics discuss the time series setting, and even fewer works have developed methods which utilize the unique features of time series data. This chapter consists of three chapters, and each one is self contained.
The first chapter deals with high dimensional predictive regressions which are widely used in economics and finance. However, the theory and methodology is mainly developed assuming that the model is stationary with time invariant parameters. This is at odds with the prevalent evidence for parameter instability in economic time series. To remedy this, we present two L2 boosting algorithms for estimating high dimensional models in which the coefficients are modeled as functions evolving smoothly over time and the predictors are locally stationary. The first method uses componentwise local constant estimators as base learner, while the second relies on componentwise local linear estimators. We establish consistency of both methods, and address the practical issues of choosing the bandwidth for the base learners and the number of boosting iterations. In an extensive application to macroeconomic forecasting with many potential predictors, we find that the benefits to modeling time variation are substantial and are present across a wide range of economic series. Furthermore, these benefits increase with the forecast horizon and with the length of the time series available for estimation. This chapter is jointly written with Serena Ng.
The second chapter deals with high dimensional non-linear time series models, and deals with the topic of variable screening/targeting predictors. Rather than assume a specific parametric model a priori, this chapter introduces several model free screening methods based on the partial distance correlation and developed specifically to deal with time dependent data. Methods are developed both for univariate models, such as nonlinear autoregressive models with exogenous predictors (NARX), and multivariate models such as linear or nonlinear VAR models. Sure screening properties are proved for our methods, which depend on the moment conditions, and the strength of dependence in the response and covariate processes, amongst other factors. Finite sample performance of our methods is shown through extensive…
Subjects/Keywords: Statistics; Economics; Time-series analysis; Time-series analysis – Data processing; Regression analysis
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Yousuf, K. (2019). Essays in High Dimensional Time Series Analysis. (Doctoral Dissertation). Columbia University. Retrieved from https://doi.org/10.7916/d8-yfg6-4971
Chicago Manual of Style (16th Edition):
Yousuf, Kashif. “Essays in High Dimensional Time Series Analysis.” 2019. Doctoral Dissertation, Columbia University. Accessed April 16, 2021.
https://doi.org/10.7916/d8-yfg6-4971.
MLA Handbook (7th Edition):
Yousuf, Kashif. “Essays in High Dimensional Time Series Analysis.” 2019. Web. 16 Apr 2021.
Vancouver:
Yousuf K. Essays in High Dimensional Time Series Analysis. [Internet] [Doctoral dissertation]. Columbia University; 2019. [cited 2021 Apr 16].
Available from: https://doi.org/10.7916/d8-yfg6-4971.
Council of Science Editors:
Yousuf K. Essays in High Dimensional Time Series Analysis. [Doctoral Dissertation]. Columbia University; 2019. Available from: https://doi.org/10.7916/d8-yfg6-4971
13.
Hamada, Ryuunosuke.
Applying Nonparametric Bayesian Approach to Non-homogeneous Multiple Time Series towards Prediction of Driving Operations : 運転行動の予測に向けた不均質な複数時系列へのノンパラメトリックベイズ法の適用; ウンテン コウドウ ノ ヨソク ニ ムケタ フキンシツナ フクスウ ジケイレツ エノ ノンパラメトリック ベイズホウ ノ テキヨウ.
Degree: Nara Institute of Science and Technology / 奈良先端科学技術大学院大学
URL: http://hdl.handle.net/10061/8739
Subjects/Keywords: time series analysis
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Hamada, R. (n.d.). Applying Nonparametric Bayesian Approach to Non-homogeneous Multiple Time Series towards Prediction of Driving Operations : 運転行動の予測に向けた不均質な複数時系列へのノンパラメトリックベイズ法の適用; ウンテン コウドウ ノ ヨソク ニ ムケタ フキンシツナ フクスウ ジケイレツ エノ ノンパラメトリック ベイズホウ ノ テキヨウ. (Thesis). Nara Institute of Science and Technology / 奈良先端科学技術大学院大学. Retrieved from http://hdl.handle.net/10061/8739
Note: this citation may be lacking information needed for this citation format:
No year of publication.
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Hamada, Ryuunosuke. “Applying Nonparametric Bayesian Approach to Non-homogeneous Multiple Time Series towards Prediction of Driving Operations : 運転行動の予測に向けた不均質な複数時系列へのノンパラメトリックベイズ法の適用; ウンテン コウドウ ノ ヨソク ニ ムケタ フキンシツナ フクスウ ジケイレツ エノ ノンパラメトリック ベイズホウ ノ テキヨウ.” Thesis, Nara Institute of Science and Technology / 奈良先端科学技術大学院大学. Accessed April 16, 2021.
http://hdl.handle.net/10061/8739.
Note: this citation may be lacking information needed for this citation format:
No year of publication.
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Hamada, Ryuunosuke. “Applying Nonparametric Bayesian Approach to Non-homogeneous Multiple Time Series towards Prediction of Driving Operations : 運転行動の予測に向けた不均質な複数時系列へのノンパラメトリックベイズ法の適用; ウンテン コウドウ ノ ヨソク ニ ムケタ フキンシツナ フクスウ ジケイレツ エノ ノンパラメトリック ベイズホウ ノ テキヨウ.” Web. 16 Apr 2021.
Note: this citation may be lacking information needed for this citation format:
No year of publication.
Vancouver:
Hamada R. Applying Nonparametric Bayesian Approach to Non-homogeneous Multiple Time Series towards Prediction of Driving Operations : 運転行動の予測に向けた不均質な複数時系列へのノンパラメトリックベイズ法の適用; ウンテン コウドウ ノ ヨソク ニ ムケタ フキンシツナ フクスウ ジケイレツ エノ ノンパラメトリック ベイズホウ ノ テキヨウ. [Internet] [Thesis]. Nara Institute of Science and Technology / 奈良先端科学技術大学院大学; [cited 2021 Apr 16].
Available from: http://hdl.handle.net/10061/8739.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
No year of publication.
Council of Science Editors:
Hamada R. Applying Nonparametric Bayesian Approach to Non-homogeneous Multiple Time Series towards Prediction of Driving Operations : 運転行動の予測に向けた不均質な複数時系列へのノンパラメトリックベイズ法の適用; ウンテン コウドウ ノ ヨソク ニ ムケタ フキンシツナ フクスウ ジケイレツ エノ ノンパラメトリック ベイズホウ ノ テキヨウ. [Thesis]. Nara Institute of Science and Technology / 奈良先端科学技術大学院大学; Available from: http://hdl.handle.net/10061/8739
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
No year of publication.

Ryerson University
14.
Ardalani-Farsa, Muhammad.
Chaotic time series forecasting with residual analysis using synergy of ensemble neural networks and Taguchi's design of experiments.
Degree: 2010, Ryerson University
URL: https://digital.library.ryerson.ca/islandora/object/RULA%3A1347
► This dissertation aims to develop an effective and practical method to forecast chaotic time series. Chaotic behaviour has been observed in the areas of marketing,…
(more)
▼ This dissertation aims to develop an effective and practical method to forecast chaotic
time series. Chaotic behaviour has been observed in the areas of marketing, stock markets, supply chain management, foreign exchange rates, weather forecasting and many others. An effective forecasting model can reduce the potential risks and uncertainty and facilitate planning and decision making in chaotic systems. In this study, residual
analysis using a combination of the embedding theorem and ensemble artificial neural networks is adopted to forecast chaotic
time series. Based on the embedding theorem, the embedding parameters are determined and the
time series is reconstructed into proper phase space points. The embedded phase space points are fed into the first neural network and trained. The weights and biases are kept to predict the future values of phase space points and accordingly to obtain future values of chaotic
time series. The residual of the predicted
time series is further analyzed; and, if a chaotic behaviour is observed, then the residuals are processed as a new chaotic
time series and predicted. This iterative residual
analysis can be repeated several times depending on the desired accuracy level and computational efficiency. Finally, the last neural network is trained using neural networks' result values of the
time series and the residuals as input and the original
time series as output. The initial weights and biases of the neural networks are improved using genetic algorithms. Taguchi's design of experiments is adopted to identify appropriate factor-level combinations to improve the result of the proposed forecasting method. A systematic approach is proposed to improve the combination of ensemble artificial neural networks and their parameters. The proposed methodology is applied to a number of benchmark and some real life chaotic
time series. In addition, the proposed forecasting method has been applied to financial sector
time series, namely, the stock markets and foreign exchange rates. The experimental results confirm that the proposed method can predict the chaotic
time series more effectively in terms of error indices when compared with other forecasting methods in the literature.
Advisors/Committee Members: Zolfaghari, Saeed (Thesis advisor).
Subjects/Keywords: Chaotic behavior in systems; Time-series analysis
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Ardalani-Farsa, M. (2010). Chaotic time series forecasting with residual analysis using synergy of ensemble neural networks and Taguchi's design of experiments. (Thesis). Ryerson University. Retrieved from https://digital.library.ryerson.ca/islandora/object/RULA%3A1347
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):
Ardalani-Farsa, Muhammad. “Chaotic time series forecasting with residual analysis using synergy of ensemble neural networks and Taguchi's design of experiments.” 2010. Thesis, Ryerson University. Accessed April 16, 2021.
https://digital.library.ryerson.ca/islandora/object/RULA%3A1347.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Ardalani-Farsa, Muhammad. “Chaotic time series forecasting with residual analysis using synergy of ensemble neural networks and Taguchi's design of experiments.” 2010. Web. 16 Apr 2021.
Vancouver:
Ardalani-Farsa M. Chaotic time series forecasting with residual analysis using synergy of ensemble neural networks and Taguchi's design of experiments. [Internet] [Thesis]. Ryerson University; 2010. [cited 2021 Apr 16].
Available from: https://digital.library.ryerson.ca/islandora/object/RULA%3A1347.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Ardalani-Farsa M. Chaotic time series forecasting with residual analysis using synergy of ensemble neural networks and Taguchi's design of experiments. [Thesis]. Ryerson University; 2010. Available from: https://digital.library.ryerson.ca/islandora/object/RULA%3A1347
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Ryerson University
15.
Ghoraani, Behnaz.
Time-Frequency Feature Analysis.
Degree: 2010, Ryerson University
URL: https://digital.library.ryerson.ca/islandora/object/RULA%3A1527
► Most of the real-world signals in nature are non-stationary, i.e., their statistics are time variant. Extracting the time-varying frequency characteristics of a signal is very…
(more)
▼ Most of the real-world signals in nature are non-stationary, i.e., their statistics are
time variant. Extracting the
time-varying frequency characteristics of a signal is very important in understanding the signal better, which could be of immense use in various applications such as pattern recognition and automated-decision making systems. In order to extract meaningful
time-frequency (TF) features, a joint TF
analysis is required. The proposed work is an attempt to develop a generalized TF
analysis methodology that exploits the benefits of TF distribution (TFD) in pattern classification systems as related to discriminant feature detection and classification. Our objective is to introduce a unique and efficient way of performing non-stationary signal
analysis using adaptive and discriminant TF techniques. To fulfill this objective, in the first point, we build a novel TF matrix (TFM) decomposition that increases the effectiveness of segmentation in real-world signals. Instantaneous and unique features are extracted from each segment such that they successfully represent joint TF structure of the signal.In the second point, based on the above technique, two unique and novel discriminant TF
analysis methods are proposed to perform an improved and discriminant feature selection of any non-stationary signals. The first approach is a new machine learning method that identifies the clusters of the discriminant features to compute the presence of the discriminative pattern in any given signal, and classify them accordingly. The second approach is a discriminant TFM (DTFM) framework, which is a combination of TFM decomposition and the discriminant clustering techniques. The developed DTFM
analysis automatically identifies the differences between different classes as the distinguishing structure, and uses the identified structure to accurately classify and locate the discriminant structure in the signal. The theoretical properties of the proposed approaches pertaining to pattern recognition and detection are examined in this dissertation. The extracted TF features provide strong and successful characterization and classification of real and synthetic non-stationary signals. The proposed TF techniques facilitate the adaptation of TF quantification to any feature detection technique in automating the identification process of discriminatory TF features, and can find applications in many different fields including biomedical and multimedia signal processing.
Advisors/Committee Members: Ryerson University (Degree grantor).
Subjects/Keywords: Signal processing – Mathematics; Time-series analysis
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Ghoraani, B. (2010). Time-Frequency Feature Analysis. (Thesis). Ryerson University. Retrieved from https://digital.library.ryerson.ca/islandora/object/RULA%3A1527
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):
Ghoraani, Behnaz. “Time-Frequency Feature Analysis.” 2010. Thesis, Ryerson University. Accessed April 16, 2021.
https://digital.library.ryerson.ca/islandora/object/RULA%3A1527.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Ghoraani, Behnaz. “Time-Frequency Feature Analysis.” 2010. Web. 16 Apr 2021.
Vancouver:
Ghoraani B. Time-Frequency Feature Analysis. [Internet] [Thesis]. Ryerson University; 2010. [cited 2021 Apr 16].
Available from: https://digital.library.ryerson.ca/islandora/object/RULA%3A1527.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Ghoraani B. Time-Frequency Feature Analysis. [Thesis]. Ryerson University; 2010. Available from: https://digital.library.ryerson.ca/islandora/object/RULA%3A1527
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Oregon State University
16.
Robb, Loretta J.
Estimation of the order of an autoregressive time series : a Bayesian approach.
Degree: PhD, Statistics, 1979, Oregon State University
URL: http://hdl.handle.net/1957/42411
► Finite order autoregressive models for time series are often used for prediction and other inferences. Given the order of the model, the parameters of the…
(more)
▼ Finite order autoregressive models for
time series are often
used for prediction and other inferences. Given the order of the
model, the parameters of the models can be estimated by least
squares, maximum likelihood, or the Yule-Walker method. The
basic problem is estimating the order of the model. A number of
statisticians have examined this problem. The most recent and
widely accepted method was proposed by Akaike (1969, 1970, 1974),
which has been shown to give quite accurate estimates for simulated
data.
In this dissertation, the problem of autoregressive order estimation
is placed in a Bayesian framework. This is done with the
intent of illustrating how the Bayesian approach brings the numerous
aspects of the problem together into a coherent structure which is
both complementary to presently used methods and intuitively satisfying.
A joint prior probability density is proposed for the order, the partial autocorrelation coefficients and the variance, and the marginal
posterior probability distribution for the order, given the data, is
obtained. It is noted that the value with maximum posterior probability
is the Bayes estimate of the order with respect to a particular loss
function. The asymptotic posterior distribution of the order is also
given.
In conclusion, Wolfer's sunspot data as well as simulated data
corresponding to several autoregressive models are analyzed according
to Akaike's method and the Bayesian method proposed in this
dissertation. Both methods are observed to perform quite well,
although the Bayesian method was clearly superior in most cases.
Advisors/Committee Members: Ramsey, Fred L. (advisor).
Subjects/Keywords: Time-series analysis
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Robb, L. J. (1979). Estimation of the order of an autoregressive time series : a Bayesian approach. (Doctoral Dissertation). Oregon State University. Retrieved from http://hdl.handle.net/1957/42411
Chicago Manual of Style (16th Edition):
Robb, Loretta J. “Estimation of the order of an autoregressive time series : a Bayesian approach.” 1979. Doctoral Dissertation, Oregon State University. Accessed April 16, 2021.
http://hdl.handle.net/1957/42411.
MLA Handbook (7th Edition):
Robb, Loretta J. “Estimation of the order of an autoregressive time series : a Bayesian approach.” 1979. Web. 16 Apr 2021.
Vancouver:
Robb LJ. Estimation of the order of an autoregressive time series : a Bayesian approach. [Internet] [Doctoral dissertation]. Oregon State University; 1979. [cited 2021 Apr 16].
Available from: http://hdl.handle.net/1957/42411.
Council of Science Editors:
Robb LJ. Estimation of the order of an autoregressive time series : a Bayesian approach. [Doctoral Dissertation]. Oregon State University; 1979. Available from: http://hdl.handle.net/1957/42411

Oregon State University
17.
Tang, Zhigiang.
Bilinear stochastic processes and time series.
Degree: PhD, Electrical and Computer Engineering, 1987, Oregon State University
URL: http://hdl.handle.net/1957/39933
► In engineering, biology, ecology, medicine, economics and social science, some processes are essentially bilinear, and some could be approximated accurately by bilinear processes under certain…
(more)
▼ In engineering, biology, ecology, medicine, economics and social
science, some processes are essentially bilinear, and some could be
approximated accurately by bilinear processes under certain conditions.
In this thesis the bilinear stochastic process and bilinear
time series
are discussed.
Bilinear models essentially are nonlinear; the superposition rule
is not valid. A useful property, which characterizes the bilinear
feature among the nonlinear ones, is emphasized. The solutions of
deterministic bilinear systems and bilinear stochastic processes are
given. The direct method uses the Lie algebraic structure. For bilinear
stochastic processes, the decomposition to a cascade form is a
generalization of the Volterra-
series expansion. Because a correction
term exists in bilinear stochastic differential equations, the
decomposition has two different forms; both of them are convergent. The
lth -order stationarity and asymptotic stationarity of bilinear
stochastic processes and
time series are well defined, and the
conditions on parameters for lth -order stationarity are derived.
Affine bilinear models in
time-
series form are shown to be more
general than bilinear models, and more readily fit certain data. A
special high-order scalar affine bilinear
time-
series model can be
transferred to a first-order, vector, affine, bilinear model, but need
higher dimension than the linear ARMA model. For first-order affine
bilinear
time series two possible methods of parameter estimation are
presented. The moment method uses the relationships between the
parameters, and the second and third-moments to estimate parameters. The
inverse method uses the output data to estimate the input, which is
compared with the standard white Gaussian random sequence, and the
method chooses the parameters of the model to make certain criterion
optimal. For the general non-Gaussian
time series an identification
procedure using the inverse method is proposed.
Some examples of
analysis and parameter estimation of bilinear
models are provided.
Advisors/Committee Members: Mohler, Ronald R. (advisor).
Subjects/Keywords: Time-series analysis
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Tang, Z. (1987). Bilinear stochastic processes and time series. (Doctoral Dissertation). Oregon State University. Retrieved from http://hdl.handle.net/1957/39933
Chicago Manual of Style (16th Edition):
Tang, Zhigiang. “Bilinear stochastic processes and time series.” 1987. Doctoral Dissertation, Oregon State University. Accessed April 16, 2021.
http://hdl.handle.net/1957/39933.
MLA Handbook (7th Edition):
Tang, Zhigiang. “Bilinear stochastic processes and time series.” 1987. Web. 16 Apr 2021.
Vancouver:
Tang Z. Bilinear stochastic processes and time series. [Internet] [Doctoral dissertation]. Oregon State University; 1987. [cited 2021 Apr 16].
Available from: http://hdl.handle.net/1957/39933.
Council of Science Editors:
Tang Z. Bilinear stochastic processes and time series. [Doctoral Dissertation]. Oregon State University; 1987. Available from: http://hdl.handle.net/1957/39933

Oregon State University
18.
Chen, Kuei-Lin.
Performance evaluation and design of multiple time series based forecasting systems.
Degree: PhD, Industrial and General Engineering, 1976, Oregon State University
URL: http://hdl.handle.net/1957/43755
► The study evaluates performances of three multiple time series (MTS) forecasting methods; investigates possible improvements in MTS forecasting operations, and proposes a multiple time series…
(more)
▼ The study evaluates performances of three multiple
time series
(MTS) forecasting methods; investigates possible improvements in
MTS forecasting operations, and proposes a multiple
time series
based forecasting system.
Time series considered are finite,
linear, covariance stationary, and discrete.
Specific objectives for the thesis were: (a) conducting comparative
studies of MTS estimation methods; (b) investigating the effectiveness
of composite forecasts in MTS
analysis; (c) examining
performance of process control procedures in MTS forecasting operations;
and (d) proposing an overall approach to MTS estimation, model
building and forecasting procedures.
Multivariate exponential smoothing, multivariate Yule-Walker
equations, and Chitturi's discounted least squares parameter estimation
methods were used in the study.
Time series schemes which are
most suitable for using these estimation methods are multiple autoregressive processes, MAR(s,p); and mixed autoregressivemoving
average processes, MARMA(s, 1, 1).
Comparative studies were conducted on selected real economic
time series. Outcomes of forecasting were measured in terms of
weighted mean square errors. Computational efforts were recorded
and compared. Proper data treatments were taken to ensure desired
characteristics such as stationarity, and nonseasonality.
The techniques of composite forecasting were studied and
applied to MTS
analysis. Performance of all four alternatives for
composite forecasts were reviewed and favorable results were
reported.
In an effort to reduce computation expenses in MTS
analysis,
process control procedures were implemented. A trivariate MTS
model was then used to demonstrate the application of process control
procedures in MTS forecasting operations.
An overall approach to MTS estimation, model building and
forecasting procedure has been developed. It is a two-phase procedure.
The estimation phase is a multi-variable analogue of the
Box-Jenkins iterative process for model building in single
time series
analysis. Process control procedures and composite forecasting
techniques are incorporated in the second phase. The complete
process of the proposed multiple
time series based forecasting systems
is illustrated through a trivariate MTS model.
Advisors/Committee Members: Love, Stephen F. (advisor), Love, Stephen F. (committee member).
Subjects/Keywords: Time-series analysis
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Chen, K. (1976). Performance evaluation and design of multiple time series based forecasting systems. (Doctoral Dissertation). Oregon State University. Retrieved from http://hdl.handle.net/1957/43755
Chicago Manual of Style (16th Edition):
Chen, Kuei-Lin. “Performance evaluation and design of multiple time series based forecasting systems.” 1976. Doctoral Dissertation, Oregon State University. Accessed April 16, 2021.
http://hdl.handle.net/1957/43755.
MLA Handbook (7th Edition):
Chen, Kuei-Lin. “Performance evaluation and design of multiple time series based forecasting systems.” 1976. Web. 16 Apr 2021.
Vancouver:
Chen K. Performance evaluation and design of multiple time series based forecasting systems. [Internet] [Doctoral dissertation]. Oregon State University; 1976. [cited 2021 Apr 16].
Available from: http://hdl.handle.net/1957/43755.
Council of Science Editors:
Chen K. Performance evaluation and design of multiple time series based forecasting systems. [Doctoral Dissertation]. Oregon State University; 1976. Available from: http://hdl.handle.net/1957/43755

Penn State University
19.
Chattopadhyay, Pritthi.
Data-Driven Modeling and Pattern Recognition of Dynamical Systems.
Degree: 2018, Penn State University
URL: https://submit-etda.libraries.psu.edu/catalog/15396pxc271
► Human-engineered complex systems need to be monitored consistently to ensure their safety and efficiency, which might be affected due to degradation over time or unanticipated…
(more)
▼ Human-engineered complex systems need to be monitored consistently to ensure
their safety and efficiency, which might be affected due to degradation over
time
or unanticipated disturbances. For systems that change at a fast
time scale, instead
of active health monitoring, preventative system design is more feasible and
effective. Both active health monitoring and preventative system design can be
done using physics-based or data-driven models. In comparison to physics-based
models, data-driven models do not require knowledge of the underlying system
dynamics; they determine the relation between the relevant input and output variables
from a training data set. This is useful when there is lack of understanding
of the system dynamics or the developed models are inadequate. One such scenario
is combustion, where the difficulties include nonlinear dynamics involving
several input parameters; existence of bifurcations in the dynamic behavior and
extremely high sensitivity of the combustor behavior to even small changes in
some of the design parameters. Similarly, for batteries, sufficient knowledge of the
electrochemical characteristics is necessary to develop models for parameter
�identification at different operating points of the nonlinear battery dynamics. This
dissertation develops dynamic data-driven models for combustor design and battery
health monitoring, using concepts of machine learning and statistics, which
do not require much knowledge of the underlying system dynamics.
But the performance of a data-driven algorithm depends on many factors namely:
1. Availability of training data which covers all events of interest. For applications
involving
time series data, each individual
time series must also be
sufficiently long, to encompass the dynamics of the underlying system for
each event.
2. The quality of extracted features, i.e. whether they capture all the information
about the system.
3. The relation between the relevant input and output variables remaining constant
during the
time the algorithm is being trained.
Hence, the second part of the dissertation develops an unsupervised algorithm for
scenarios where condition (iii) might not hold; quanti�es the e�ect of the nonconformity
of condition (i) on the performance of an algorithm and proposes a
feature extraction algorithm to ensure conformity of condition (ii).
Advisors/Committee Members: Asok Ray, Dissertation Advisor/Co-Advisor, Asok Ray, Committee Chair/Co-Chair, Christopher Rahn, Committee Member, Minghui Zhu, Committee Member, Shashi Phoha, Outside Member.
Subjects/Keywords: data-driven modeling; time series analysis
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APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Chattopadhyay, P. (2018). Data-Driven Modeling and Pattern Recognition of Dynamical Systems. (Thesis). Penn State University. Retrieved from https://submit-etda.libraries.psu.edu/catalog/15396pxc271
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):
Chattopadhyay, Pritthi. “Data-Driven Modeling and Pattern Recognition of Dynamical Systems.” 2018. Thesis, Penn State University. Accessed April 16, 2021.
https://submit-etda.libraries.psu.edu/catalog/15396pxc271.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Chattopadhyay, Pritthi. “Data-Driven Modeling and Pattern Recognition of Dynamical Systems.” 2018. Web. 16 Apr 2021.
Vancouver:
Chattopadhyay P. Data-Driven Modeling and Pattern Recognition of Dynamical Systems. [Internet] [Thesis]. Penn State University; 2018. [cited 2021 Apr 16].
Available from: https://submit-etda.libraries.psu.edu/catalog/15396pxc271.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Chattopadhyay P. Data-Driven Modeling and Pattern Recognition of Dynamical Systems. [Thesis]. Penn State University; 2018. Available from: https://submit-etda.libraries.psu.edu/catalog/15396pxc271
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of Waterloo
20.
Perrie, Jonathan.
Modelling Chart Trajectories using Song Features.
Degree: 2019, University of Waterloo
URL: http://hdl.handle.net/10012/14937
► Over the years, hit song science has been a controversial topic within music information retrieval. Researchers have debated whether an unbiased dataset can be constructed…
(more)
▼ Over the years, hit song science has been a controversial topic within music information retrieval. Researchers have debated whether an unbiased dataset can be constructed to model song performance in a meaningful way. Often, classes for modelling are derived from one dimension of song performance, like for example, a song’s peak position on some chart. We aim to develop target variables for modelling song performance as trajectory patterns that consider both a song's lasting power and its listener reach. We model our target variables over various datasets using a wide array of features across different domains, which include metadata, audio, and lyric features. We found that the metadata features, which act as baseline song attributes, oftentimes had the most power in distinguishing our proposed task classes. When modelling hits and flops along one dimension of song success, we observed that the dimensions carried contrasting information, thus justifying their fusion into a two-dimensional target variable, which could be useful for future researchers who want to better understand the relationships between song features and performance. We were unable to show that our target variables were all that useful for modelling more than two classes, but we believe that this is more a limitation of the features, which were often high level, rather than the target variables' separability. Along with our model analysis, we also carried out a re-implementation of a related study by Askin & Mauskapf and considered different applications of our data using methods from time series analysis.
Subjects/Keywords: Popular music; Time-series analysis; Machine learning
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Perrie, J. (2019). Modelling Chart Trajectories using Song Features. (Thesis). University of Waterloo. Retrieved from http://hdl.handle.net/10012/14937
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):
Perrie, Jonathan. “Modelling Chart Trajectories using Song Features.” 2019. Thesis, University of Waterloo. Accessed April 16, 2021.
http://hdl.handle.net/10012/14937.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Perrie, Jonathan. “Modelling Chart Trajectories using Song Features.” 2019. Web. 16 Apr 2021.
Vancouver:
Perrie J. Modelling Chart Trajectories using Song Features. [Internet] [Thesis]. University of Waterloo; 2019. [cited 2021 Apr 16].
Available from: http://hdl.handle.net/10012/14937.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Perrie J. Modelling Chart Trajectories using Song Features. [Thesis]. University of Waterloo; 2019. Available from: http://hdl.handle.net/10012/14937
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Nelson Mandela Metropolitan University
21.
Van Niekerk, Bracken.
Application of hidden Markov models and their extensions to animal movement data.
Degree: 2018, Nelson Mandela Metropolitan University
URL: http://hdl.handle.net/10948/23835
► Hidden Markov Models (HMMs) have become increasingly popular in animal movement studies as they provide a flexible modelling approach and take the correlation between successive…
(more)
▼ Hidden Markov Models (HMMs) have become increasingly popular in animal movement studies as they provide a flexible modelling approach and take the correlation between successive observations into account. They can segment the movement paths into latent states, which can be considered as rough proxies for the behaviours of the animals. This study comprises of two sections, both involving the application of HMMs to large terrestrial mammal movement data. Usually step lengths representing the displacement distances between successive observations, turning angles measuring the tortuosity, or a bivariate input of both variables are used as inputs in the models. It has been found in the literature that the turning angle is either included in the modelling process or it is excluded without much justification for doing so. The first part of this study investigates the nfluence of the turning angle on the model output and resultant interpretations of the HMMs when modelling the trajectories of large terrestrial mammals in southern Africa. Results revealed at different time scales, and for both predator and herbivore species in this study, that the turning angle does not influence the state allocation of the HMMs, which is the main output in terms of interpreting the behaviours of the animals. It is thought in most cases that the inclusion of the turning angle overcomplicates the models unnecessarily without contributing any additional information in terms of the behavioural interpretations or improving the overall fit of the models. This was found for the variety of movements of the species under observation in this study. The second part of this study attempts to validate the state allocation of the HMMs fitted to eland trajectories in the Greater Addo Elephant National Park in the Eastern Cape, with the use of camera trap data. This presented a unique opportunity as this type of data is mainly used for abundance or capture-recapture studies, and the HMMs are rarely validated as the true behaviours of the animals are seldom known. Results revealed that the same diel patterns were detected by the HMMs that were shown by the classified camera trap data. Direct comparisons of the observations where the dates and times matched for the telemetry and camera trap data could be done in several rare instances, which revealed many similarities. Although it was not an ideal comparison, the camera trap data provided a rough validation of the state allocation of the HMMs used in the study.
Subjects/Keywords: Markov processes; Animal locomotion; Time-series analysis
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Van Niekerk, B. (2018). Application of hidden Markov models and their extensions to animal movement data. (Thesis). Nelson Mandela Metropolitan University. Retrieved from http://hdl.handle.net/10948/23835
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):
Van Niekerk, Bracken. “Application of hidden Markov models and their extensions to animal movement data.” 2018. Thesis, Nelson Mandela Metropolitan University. Accessed April 16, 2021.
http://hdl.handle.net/10948/23835.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Van Niekerk, Bracken. “Application of hidden Markov models and their extensions to animal movement data.” 2018. Web. 16 Apr 2021.
Vancouver:
Van Niekerk B. Application of hidden Markov models and their extensions to animal movement data. [Internet] [Thesis]. Nelson Mandela Metropolitan University; 2018. [cited 2021 Apr 16].
Available from: http://hdl.handle.net/10948/23835.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Van Niekerk B. Application of hidden Markov models and their extensions to animal movement data. [Thesis]. Nelson Mandela Metropolitan University; 2018. Available from: http://hdl.handle.net/10948/23835
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of KwaZulu-Natal
22.
Dralle, Bruce.
Modelling volatility in financial time series.
Degree: MS, Statistics and actuarial science, 2011, University of KwaZulu-Natal
URL: http://hdl.handle.net/10413/8504
► The objective of this dissertation is to model the volatility of financial time series data using ARCH, GARCH and stochastic volatility models. It is found…
(more)
▼ The objective of this dissertation is to model the volatility of financial
time series data using ARCH, GARCH and stochastic volatility models. It is found that the ARCH and GARCH models are easy to fit compared to the stochastic volatility models which present problems with respect to the distributional assumptions that need to be made. For this reason the ARCH and GARCH models remain more widely used than the stochastic volatility models. The ARCH, GARCH and stochastic volatility models are fitted to four data sets consisting of daily closing prices of gold mining companies listed on the Johannesburg stock exchange. The companies are Anglo Gold Ashanti Ltd, DRD Gold Ltd, Gold Fields Ltd and Harmony Gold Mining Company Ltd. The best fitting ARCH and GARCH models are identified along with the best error distribution and then diagnostics are performed to ensure adequacy of the models. It was found throughout that the student-t distribution was the best error distribution to use for each data set. The results from the stochastic volatility models were in agreement with those obtained from the ARCH and GARCH models. The stochastic volatility models are, however, restricted to the form of an AR(1) process due to the complexities involved in fitting higher order models.
Advisors/Committee Members: Ramroop, Shaun. (advisor), Mwambi, Henry G. (advisor).
Subjects/Keywords: Statistics and actuarial science.; Time-series analysis.
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Dralle, B. (2011). Modelling volatility in financial time series. (Masters Thesis). University of KwaZulu-Natal. Retrieved from http://hdl.handle.net/10413/8504
Chicago Manual of Style (16th Edition):
Dralle, Bruce. “Modelling volatility in financial time series.” 2011. Masters Thesis, University of KwaZulu-Natal. Accessed April 16, 2021.
http://hdl.handle.net/10413/8504.
MLA Handbook (7th Edition):
Dralle, Bruce. “Modelling volatility in financial time series.” 2011. Web. 16 Apr 2021.
Vancouver:
Dralle B. Modelling volatility in financial time series. [Internet] [Masters thesis]. University of KwaZulu-Natal; 2011. [cited 2021 Apr 16].
Available from: http://hdl.handle.net/10413/8504.
Council of Science Editors:
Dralle B. Modelling volatility in financial time series. [Masters Thesis]. University of KwaZulu-Natal; 2011. Available from: http://hdl.handle.net/10413/8504

Delft University of Technology
23.
Verhoeven, Vincent (author).
Satellite-Based Analysis of Vegetation Trends in Europe.
Degree: 2020, Delft University of Technology
URL: http://resolver.tudelft.nl/uuid:952a33b0-e5dd-4228-a2a1-443210cf4f37
► The aim of this thesis project is to investigate the temporal changes of vegetation in Europe using statistical analysis and machine learning. A methodology is…
(more)
▼ The aim of this thesis project is to investigate the temporal changes of vegetation in Europe using statistical
analysis and machine learning. A methodology is used consisting of five main steps. The first is data pre-processing, which is used to reduce the noise within the data set. This is followed by classification, which divides the data into its various land cover types. Next, the
time series are decomposed into their trend and seasonal components. The fourth step is to forecast these
time series components, and finally the generated trend and seasonal components are analysed. Annual land cover results for the entire domain have been produced, with an over-all classification accuracy exceeding 80%. Furthermore, a statistically significant slow degree of greening was determined for the majority of the domain over the twenty year
time span and the growing season shows lengthening for the areas that transitioned from browning to greening.
Advisors/Committee Members: Dedoussi, Irene (mentor), Delft University of Technology (degree granting institution).
Subjects/Keywords: NDVI; Vegetation; Satellite; Time Series Analysis; Classification
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Verhoeven, V. (. (2020). Satellite-Based Analysis of Vegetation Trends in Europe. (Masters Thesis). Delft University of Technology. Retrieved from http://resolver.tudelft.nl/uuid:952a33b0-e5dd-4228-a2a1-443210cf4f37
Chicago Manual of Style (16th Edition):
Verhoeven, Vincent (author). “Satellite-Based Analysis of Vegetation Trends in Europe.” 2020. Masters Thesis, Delft University of Technology. Accessed April 16, 2021.
http://resolver.tudelft.nl/uuid:952a33b0-e5dd-4228-a2a1-443210cf4f37.
MLA Handbook (7th Edition):
Verhoeven, Vincent (author). “Satellite-Based Analysis of Vegetation Trends in Europe.” 2020. Web. 16 Apr 2021.
Vancouver:
Verhoeven V(. Satellite-Based Analysis of Vegetation Trends in Europe. [Internet] [Masters thesis]. Delft University of Technology; 2020. [cited 2021 Apr 16].
Available from: http://resolver.tudelft.nl/uuid:952a33b0-e5dd-4228-a2a1-443210cf4f37.
Council of Science Editors:
Verhoeven V(. Satellite-Based Analysis of Vegetation Trends in Europe. [Masters Thesis]. Delft University of Technology; 2020. Available from: http://resolver.tudelft.nl/uuid:952a33b0-e5dd-4228-a2a1-443210cf4f37

Baylor University
24.
Agrawal, Mohit, 1985-.
Multi Objective Optimization for Seismology (MOOS), with application to the Middle East, the Texas Gulf Coast, and the Rio Grande Rift.
Degree: PhD, Baylor University. Dept. of Geosciences., 2016, Baylor University
URL: http://hdl.handle.net/2104/9653
► We develop and apply new modeling methods that make use of disparate but complementary seismic “functionals,” such as receiver functions and dispersion curves, and model…
(more)
▼ We develop and apply new modeling methods that make use of disparate but complementary seismic “functionals,” such as receiver functions and dispersion curves, and model them using a global optimization method called “Very Fast Simulated Annealing” (VFSA). We apply aspects of the strategy, which we call “Multi Objective Optimization for Seismology” (MOOS), to three broadband seismic datasets: a sparse network in the Middle East, a closely-spaced linear transect across Texas Gulf Coastal Plain, and a 2D array in SE New Mexico and West Texas (the eastern flank of the Rio Grande Rift). First, seismic velocity models are found, along with quantitative uncertainty estimates, for eleven sites in the Middle East by jointly modeling Ps and Sp receiver functions and surface (Rayleigh) wave group velocity dispersion curves. These tools demonstrate cases in which joint modeling of disparate and complementary functionals provide better constraints on model parameters than a single functional alone. Next, we generate a 2D stacked receiver function image with a common conversion point stacking technique using seismic data from a linear array of 22 broadband stations deployed across Texas’s Gulf Coastal Plain. The image is migrated using velocity models found by modeling dispersion curves computed via ambient noise cross-correlation. Our results show that the Moho disappears outboard of the Balcones Fault Zone and that a significant, negative-polarity discontinuity exists beneath the Coastal Plain. Lastly, we stack and depth-migrate Ps and Sp receiver functions computed from data recorded by broadband stations deployed by the SIEDCAR (Seismic Investigation of Edge Driven Convection Association with Rio Grande Rift) project. To find P-and Swave velocity models for receiver function migration, we develop and apply a technique that is analogous to “velocity analysis” in seismic reflection processing. The resulting 3D image reveals gaps in the seismically-determined lithosphere-asthenosphere boundary (LAB) and Moho beneath dramatically uplifted topography and above a distinct fast anomaly (found independently via seismic travel
time tomography). We speculate that this gap is the result of large-scale lithospheric removal associated with east-west extension and the northward propagation of the Rio Grande Rift.
Advisors/Committee Members: Pulliam, Robert Jay. (advisor).
Subjects/Keywords: Time-series analysis. Inverse theory. Geophysics.
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Agrawal, Mohit, 1. (2016). Multi Objective Optimization for Seismology (MOOS), with application to the Middle East, the Texas Gulf Coast, and the Rio Grande Rift. (Doctoral Dissertation). Baylor University. Retrieved from http://hdl.handle.net/2104/9653
Chicago Manual of Style (16th Edition):
Agrawal, Mohit, 1985-. “Multi Objective Optimization for Seismology (MOOS), with application to the Middle East, the Texas Gulf Coast, and the Rio Grande Rift.” 2016. Doctoral Dissertation, Baylor University. Accessed April 16, 2021.
http://hdl.handle.net/2104/9653.
MLA Handbook (7th Edition):
Agrawal, Mohit, 1985-. “Multi Objective Optimization for Seismology (MOOS), with application to the Middle East, the Texas Gulf Coast, and the Rio Grande Rift.” 2016. Web. 16 Apr 2021.
Vancouver:
Agrawal, Mohit 1. Multi Objective Optimization for Seismology (MOOS), with application to the Middle East, the Texas Gulf Coast, and the Rio Grande Rift. [Internet] [Doctoral dissertation]. Baylor University; 2016. [cited 2021 Apr 16].
Available from: http://hdl.handle.net/2104/9653.
Council of Science Editors:
Agrawal, Mohit 1. Multi Objective Optimization for Seismology (MOOS), with application to the Middle East, the Texas Gulf Coast, and the Rio Grande Rift. [Doctoral Dissertation]. Baylor University; 2016. Available from: http://hdl.handle.net/2104/9653

Columbia University
25.
Paparrizos, Ioannis.
Fast, Scalable, and Accurate Algorithms for Time-Series Analysis.
Degree: 2018, Columbia University
URL: https://doi.org/10.7916/D80K3S4B
► Time is a critical element for the understanding of natural processes (e.g., earthquakes and weather) or human-made artifacts (e.g., stock market and speech signals). The…
(more)
▼ Time is a critical element for the understanding of natural processes (e.g., earthquakes and weather) or human-made artifacts (e.g., stock market and speech signals). The analysis of time series, the result of sequentially collecting observations of such processes and artifacts, is becoming increasingly prevalent across scientific and industrial applications. The extraction of non-trivial features (e.g., patterns, correlations, and trends) in time series is a critical step for devising effective time-series mining methods for real-world problems and the subject of active research for decades. In this dissertation, we address this fundamental problem by studying and presenting computational methods for efficient unsupervised learning of robust feature representations from time series. Our objective is to (i) simplify and unify the design of scalable and accurate time-series mining algorithms; and (ii) provide a set of readily available tools for effective time-series analysis. We focus on applications operating solely over time-series collections and on applications where the analysis of time series complements the analysis of other types of data, such as text and graphs.
For applications operating solely over time-series collections, we propose a generic computational framework, GRAIL, to learn low-dimensional representations that natively preserve the invariances offered by a given time-series comparison method. GRAIL represents a departure from classic approaches in the time-series literature where representation methods are agnostic to the similarity function used in subsequent learning processes. GRAIL relies on the attractive idea that once we construct the data-to-data similarity matrix most time-series mining tasks can be trivially solved. To overcome scalability issues associated with approaches relying on such matrices, GRAIL exploits time-series clustering to construct a small set of landmark time series and learns representations to reduce the data-to-data matrix to a data-to-landmark points matrix. To demonstrate the effectiveness of GRAIL, we first present domain-independent, highly accurate, and scalable time-series clustering methods to facilitate exploration and summarization of time-series collections. Then, we show that GRAIL representations, when combined with suitable methods, significantly outperform, in terms of efficiency and accuracy, state-of-the-art methods in major time-series mining tasks, such as querying, clustering, classification, sampling, and visualization. Overall, GRAIL rises as a new primitive for highly accurate, yet scalable, time-series analysis.
For applications where the analysis of time series complements the analysis of other types of data, such as text and graphs, we propose generic, simple, and lightweight methodologies to learn features from time-varying measurements. Such applications often organize operations over different types of data in a pipeline such that one operation provides input – in the form of feature vectors – to subsequent operations. To…
Subjects/Keywords: Computer science; Algorithms; Time-series analysis
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APA (6th Edition):
Paparrizos, I. (2018). Fast, Scalable, and Accurate Algorithms for Time-Series Analysis. (Doctoral Dissertation). Columbia University. Retrieved from https://doi.org/10.7916/D80K3S4B
Chicago Manual of Style (16th Edition):
Paparrizos, Ioannis. “Fast, Scalable, and Accurate Algorithms for Time-Series Analysis.” 2018. Doctoral Dissertation, Columbia University. Accessed April 16, 2021.
https://doi.org/10.7916/D80K3S4B.
MLA Handbook (7th Edition):
Paparrizos, Ioannis. “Fast, Scalable, and Accurate Algorithms for Time-Series Analysis.” 2018. Web. 16 Apr 2021.
Vancouver:
Paparrizos I. Fast, Scalable, and Accurate Algorithms for Time-Series Analysis. [Internet] [Doctoral dissertation]. Columbia University; 2018. [cited 2021 Apr 16].
Available from: https://doi.org/10.7916/D80K3S4B.
Council of Science Editors:
Paparrizos I. Fast, Scalable, and Accurate Algorithms for Time-Series Analysis. [Doctoral Dissertation]. Columbia University; 2018. Available from: https://doi.org/10.7916/D80K3S4B

Columbia University
26.
Zhang, Jing.
Time Series Modeling with Shape Constraints.
Degree: 2017, Columbia University
URL: https://doi.org/10.7916/D84X5M55
► This thesis focuses on the development of semiparametric estimation methods for a class of time series models using shape constraints. Many of the existing time…
(more)
▼ This thesis focuses on the development of semiparametric estimation methods for a class of time series models using shape constraints. Many of the existing time series models assume the noise follows some known parametric distributions. Typical examples are the Gaussian and t distributions. Then the model parameters are estimated by maximizing the resultant likelihood function.
As an example, the autoregressive moving average (ARMA) models (Brockwell and Davis, 2009) assume Gaussian noise sequence and are estimated under the causal-invertible constraint by maximizing the Gaussian likelihood. Although the same estimates can also be used in the causal-invertible non-Gaussian case, they are not asymptotically optimal (Rosenblatt, 2012). Moreover, for the noncausal/noninvertible cases, the Gaussian likelihood estimation procedure is not applicable, since any second-order based methods cannot distinguish between causal-invertible and noncausal/noninvertible models (Brockwell and Davis,2009). As a result, many estimation methods for noncausal/noninvertible ARMA models assume the noise follows a known non-Gaussian distribution, like a Laplace distribution or a t distribution. To relax this distributional assumption and allow noncausal/noninvertible models, we borrow ideas from nonparametric shape-constraint density estimation and propose a semiparametric estimation procedure for general ARMA models by projecting the underlying noise distribution onto the space of log-concave measures (Cule and Samworth, 2010; Dümbgen et al., 2011). We show the maximum likelihood estimators in this semiparametric setting are consistent. In fact, the MLE is robust to the misspecification of log-concavity in cases where the true distribution of the noise is close to its log-concave projection. We derive a lower bound for the best asymptotic variance of regular estimators at rate sqrt(n) for AR models and construct a semiparametric efficient estimator.
We also consider modeling time series of counts with shape constraints. Many of the formulated models for count time series are expressed via a pair of generalized state-space equations. In this set-up, the observation equation specifies the conditional distribution of the observation Yt at time t given a state-variable Xt. For count time series, this conditional distribution is usually specified as coming from a known parametric family such as the Poisson or the Negative Binomial distribution. To relax this formal parametric framework, we introduce a concave shape constraint into the one-parameter exponential family. This essentially amounts to assuming that the reference measure is log-concave. In this fashion, we are able to extend the class of observation-driven models studied in Davis and Liu (2016). Under this formulation, there exists a stationary and ergodic solution to the state-space model. In this new modeling framework, we consider the inference problem of estimating both the parameters of the mean model and the log-concave function, corresponding to the reference measure.…
Subjects/Keywords: Statistics; Time-series analysis – Mathematical models
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Zhang, J. (2017). Time Series Modeling with Shape Constraints. (Doctoral Dissertation). Columbia University. Retrieved from https://doi.org/10.7916/D84X5M55
Chicago Manual of Style (16th Edition):
Zhang, Jing. “Time Series Modeling with Shape Constraints.” 2017. Doctoral Dissertation, Columbia University. Accessed April 16, 2021.
https://doi.org/10.7916/D84X5M55.
MLA Handbook (7th Edition):
Zhang, Jing. “Time Series Modeling with Shape Constraints.” 2017. Web. 16 Apr 2021.
Vancouver:
Zhang J. Time Series Modeling with Shape Constraints. [Internet] [Doctoral dissertation]. Columbia University; 2017. [cited 2021 Apr 16].
Available from: https://doi.org/10.7916/D84X5M55.
Council of Science Editors:
Zhang J. Time Series Modeling with Shape Constraints. [Doctoral Dissertation]. Columbia University; 2017. Available from: https://doi.org/10.7916/D84X5M55

Michigan State University
27.
Shin, Yongcheol.
Testing economic time series for stationarity and nonstationarity.
Degree: PhD, Department of Economics, 1992, Michigan State University
URL: http://etd.lib.msu.edu/islandora/object/etd:24661
Subjects/Keywords: Time-series analysis
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Shin, Y. (1992). Testing economic time series for stationarity and nonstationarity. (Doctoral Dissertation). Michigan State University. Retrieved from http://etd.lib.msu.edu/islandora/object/etd:24661
Chicago Manual of Style (16th Edition):
Shin, Yongcheol. “Testing economic time series for stationarity and nonstationarity.” 1992. Doctoral Dissertation, Michigan State University. Accessed April 16, 2021.
http://etd.lib.msu.edu/islandora/object/etd:24661.
MLA Handbook (7th Edition):
Shin, Yongcheol. “Testing economic time series for stationarity and nonstationarity.” 1992. Web. 16 Apr 2021.
Vancouver:
Shin Y. Testing economic time series for stationarity and nonstationarity. [Internet] [Doctoral dissertation]. Michigan State University; 1992. [cited 2021 Apr 16].
Available from: http://etd.lib.msu.edu/islandora/object/etd:24661.
Council of Science Editors:
Shin Y. Testing economic time series for stationarity and nonstationarity. [Doctoral Dissertation]. Michigan State University; 1992. Available from: http://etd.lib.msu.edu/islandora/object/etd:24661

Michigan State University
28.
Tieslau, Margie A.
Strongly dependent economic time series : theory and applications.
Degree: PhD, Department of Economics, 1992, Michigan State University
URL: http://etd.lib.msu.edu/islandora/object/etd:24678
Subjects/Keywords: Time-series analysis
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APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
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APA (6th Edition):
Tieslau, M. A. (1992). Strongly dependent economic time series : theory and applications. (Doctoral Dissertation). Michigan State University. Retrieved from http://etd.lib.msu.edu/islandora/object/etd:24678
Chicago Manual of Style (16th Edition):
Tieslau, Margie A. “Strongly dependent economic time series : theory and applications.” 1992. Doctoral Dissertation, Michigan State University. Accessed April 16, 2021.
http://etd.lib.msu.edu/islandora/object/etd:24678.
MLA Handbook (7th Edition):
Tieslau, Margie A. “Strongly dependent economic time series : theory and applications.” 1992. Web. 16 Apr 2021.
Vancouver:
Tieslau MA. Strongly dependent economic time series : theory and applications. [Internet] [Doctoral dissertation]. Michigan State University; 1992. [cited 2021 Apr 16].
Available from: http://etd.lib.msu.edu/islandora/object/etd:24678.
Council of Science Editors:
Tieslau MA. Strongly dependent economic time series : theory and applications. [Doctoral Dissertation]. Michigan State University; 1992. Available from: http://etd.lib.msu.edu/islandora/object/etd:24678

Michigan State University
29.
Hwang, Jaeyoun.
GLS detrending and the power of unit root and stationarity tests.
Degree: PhD, Department of Economics, 1993, Michigan State University
URL: http://etd.lib.msu.edu/islandora/object/etd:23087
Subjects/Keywords: Time-series analysis
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Hwang, J. (1993). GLS detrending and the power of unit root and stationarity tests. (Doctoral Dissertation). Michigan State University. Retrieved from http://etd.lib.msu.edu/islandora/object/etd:23087
Chicago Manual of Style (16th Edition):
Hwang, Jaeyoun. “GLS detrending and the power of unit root and stationarity tests.” 1993. Doctoral Dissertation, Michigan State University. Accessed April 16, 2021.
http://etd.lib.msu.edu/islandora/object/etd:23087.
MLA Handbook (7th Edition):
Hwang, Jaeyoun. “GLS detrending and the power of unit root and stationarity tests.” 1993. Web. 16 Apr 2021.
Vancouver:
Hwang J. GLS detrending and the power of unit root and stationarity tests. [Internet] [Doctoral dissertation]. Michigan State University; 1993. [cited 2021 Apr 16].
Available from: http://etd.lib.msu.edu/islandora/object/etd:23087.
Council of Science Editors:
Hwang J. GLS detrending and the power of unit root and stationarity tests. [Doctoral Dissertation]. Michigan State University; 1993. Available from: http://etd.lib.msu.edu/islandora/object/etd:23087

Michigan State University
30.
Lee, Dongin.
Asymtotic theory for long-memory time series.
Degree: PhD, Department of Economics, 1994, Michigan State University
URL: http://etd.lib.msu.edu/islandora/object/etd:24512
Subjects/Keywords: Time-series analysis
Record Details
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Lee, D. (1994). Asymtotic theory for long-memory time series. (Doctoral Dissertation). Michigan State University. Retrieved from http://etd.lib.msu.edu/islandora/object/etd:24512
Chicago Manual of Style (16th Edition):
Lee, Dongin. “Asymtotic theory for long-memory time series.” 1994. Doctoral Dissertation, Michigan State University. Accessed April 16, 2021.
http://etd.lib.msu.edu/islandora/object/etd:24512.
MLA Handbook (7th Edition):
Lee, Dongin. “Asymtotic theory for long-memory time series.” 1994. Web. 16 Apr 2021.
Vancouver:
Lee D. Asymtotic theory for long-memory time series. [Internet] [Doctoral dissertation]. Michigan State University; 1994. [cited 2021 Apr 16].
Available from: http://etd.lib.msu.edu/islandora/object/etd:24512.
Council of Science Editors:
Lee D. Asymtotic theory for long-memory time series. [Doctoral Dissertation]. Michigan State University; 1994. Available from: http://etd.lib.msu.edu/islandora/object/etd:24512
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