subject:(Mathematical statistics)

University of KwaZulu-Natal

1. [No author]. Modelling time to graduation of Durban University of Technology students using event history analysis.

Degree: 2015, University of KwaZulu-Natal

► Tertiary institutions experienced a steady growth of students from other races after the repeal of the apartheid laws. This growth picked up pace after the… (more)

▼ Tertiary institutions experienced a steady growth of students from other races after the repeal of the apartheid laws. This growth picked up pace after the promulgation of the Education White Paper of 1997 whose main thrust was to make the previously exclusive institutions accessible to the wider populace. Disturbingly, however, and contrary to the goals and the spirit of the White Paper, these institutions also experienced higher failure and lower retention rates amongst the previously disadvantaged students. This study seeks to model time to graduation using survival analysis methods. We begin the analysis by assessing the relevance of the available variables to the exercise of modelling time to graduation using descriptive statistics and non-parametric techniques. We compared the Cox regression to its extensions in discrete time, the Discrete Time to Event Approach, with the view to find the best model to explain time to graduation given the available variables. In light of limited availability of relevant data, we evaluated unobserved heterogeneity in both models. We closed the analysis by considering the cure models and mixture competing risks in discrete time. Notwithstanding arguments against suitability of the Cox regression in continuous time for modelling inherently discrete data such as found in our study, we found that Cox's regression over all, provided a reasonably good fit given the available data. We also found that in relation to the Cox proportional hazard model, there was a lesser degree of exibility as certain variable effects were sacrificed to satisfy the proportionality assumption by stratifying on those variables. The advantage of the Discrete Time to Event Approach is that we could assess the effects of all variables in the model and also obtain the estimates of risks to graduation which are true probabilities of graduation with fewer assumptions or conditions to satisfy. We found that the data limitations did not compromise either the box Cox regression model or the Discrete Time to Event Approach. The data also suggested existence of a sizable proportion of subjects that will eventually not graduate based on cure models. We also fractionated subjects censored due to closure of the observation period into those that will eventually graduate and those that will eventually dropout, using discrete mixture competing risks. We found that the mixture competing risks model explained graduation better than the cure model. Advisors/Committee Members: Zewotir, Temesgen (advisor).

Subjects/Keywords: Mathematical statistics.; Statistics.

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APA (6^th Edition):

author], [. (2015). Modelling time to graduation of Durban University of Technology students using event history analysis. (Thesis). University of KwaZulu-Natal. Retrieved from http://hdl.handle.net/10413/12353

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

author], [No. “Modelling time to graduation of Durban University of Technology students using event history analysis. ” 2015. Thesis, University of KwaZulu-Natal. Accessed August 23, 2019. http://hdl.handle.net/10413/12353.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

author], [No. “Modelling time to graduation of Durban University of Technology students using event history analysis. ” 2015. Web. 23 Aug 2019.

Vancouver:

author] [. Modelling time to graduation of Durban University of Technology students using event history analysis. [Internet] [Thesis]. University of KwaZulu-Natal; 2015. [cited 2019 Aug 23]. Available from: http://hdl.handle.net/10413/12353.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

author] [. Modelling time to graduation of Durban University of Technology students using event history analysis. [Thesis]. University of KwaZulu-Natal; 2015. Available from: http://hdl.handle.net/10413/12353

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Nelson Mandela Metropolitan University

2. [No author]. Statistical methods for the detection of non-technical losses: a case study for the Nelson Mandela Bay Municipality.

Degree: Faculty of Science, 2017, Nelson Mandela Metropolitan University

URL: http://hdl.handle.net/10948/19706

► Electricity is one of the most stolen commodities in the world. Electricity theft can be defined as the criminal act of stealing electrical power. Several… (more)

Subjects/Keywords: Nonparametric statistics; Mathematical statistics; Statistics

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APA (6^th Edition):

author], [. (2017). Statistical methods for the detection of non-technical losses: a case study for the Nelson Mandela Bay Municipality. (Thesis). Nelson Mandela Metropolitan University. Retrieved from http://hdl.handle.net/10948/19706

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

author], [No. “Statistical methods for the detection of non-technical losses: a case study for the Nelson Mandela Bay Municipality.” 2017. Thesis, Nelson Mandela Metropolitan University. Accessed August 23, 2019. http://hdl.handle.net/10948/19706.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

author], [No. “Statistical methods for the detection of non-technical losses: a case study for the Nelson Mandela Bay Municipality.” 2017. Web. 23 Aug 2019.

Vancouver:

author] [. Statistical methods for the detection of non-technical losses: a case study for the Nelson Mandela Bay Municipality. [Internet] [Thesis]. Nelson Mandela Metropolitan University; 2017. [cited 2019 Aug 23]. Available from: http://hdl.handle.net/10948/19706.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

author] [. Statistical methods for the detection of non-technical losses: a case study for the Nelson Mandela Bay Municipality. [Thesis]. Nelson Mandela Metropolitan University; 2017. Available from: http://hdl.handle.net/10948/19706

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of Hong Kong

3. Jiang, Han. On a general procedure for constructing confidence sets under partially identified models.

Degree: PhD, 2017, University of Hong Kong

URL: http://hdl.handle.net/10722/240674

►

Partially identified models commonly arise in enormous fields, including but not limited to economics, econometrics and medical science. A model is said to be partially… (more)

▼

Partially identified models commonly arise in enormous fields, including but not limited to economics, econometrics and medical science. A model is said to be partially identified when the sampling process and maintained assumptions fail to uniquely reveal the parameter of interest as a singleton. Instead, set-valued objects, referred to as identified sets in the related literature, are derived in general as original targets, based on which estimation and inference procedures are henceforth performed. Under partial identification settings, a number of algorithms have been developed for statistical inferences with respect to identified sets, with associated asymptotic properties extensively studied in literature. Fruitful results are obtained for special models such as those defined using moment inequalities, yet the problem remains inconvenient outside such restrictive contexts. In Chapter 2 we propose a general confidence procedure which not only generalizes existing algorithms but finds applications to settings as yet unexplored. The main thrust of our proposed procedure lies in the construction of a family of expanding sets labeled by a continuous expansion index. Confidence sets are then built by estimating the expansion index which yields the desired coverage level. Wide choices of expansion indices and their corresponding expanding sets render our procedure flexible and applicable under a rich class of partially identified models. In real implementations, sharp characterization of the identified set is prohibitively complex under various circumstances, making the set-valued object of interest not readily amenable to conventional estimation and inference procedures. In Chapter 3 we introduce as a remedy an outer region strategy, that easy-to-compute supersets are created as surrogates for original targets, at the cost of a loss in the associated identifying power. To fix ideas, we narrow our attention to extremum estimation problems under different types of partial identification settings. Proposed supersets are characterized by a family of lower level sets, based on which we adapt the criterion function approach, originally proposed for partially identified models subject to moment restrictions, to establish a new confidence procedure for the problem under consideration. Though formulated in separate chapters, the general confidence procedure and the outer region approach complement each other, and combine to yield conservative-yet-computationally tractable inferences. We defer a detailed discussion on this matter at the end of Chapter 3. Performances of the aforesaid schemes are illustrated and evaluated through simulation studies, in Chapters 2 and 3.

published_or_final_version

Statistics and Actuarial Science

Doctoral

Doctor of Philosophy

Subjects/Keywords: Mathematical statistics

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Jiang, H. (2017). On a general procedure for constructing confidence sets under partially identified models. (Doctoral Dissertation). University of Hong Kong. Retrieved from http://hdl.handle.net/10722/240674

Chicago Manual of Style (16^th Edition):

Jiang, Han. “On a general procedure for constructing confidence sets under partially identified models.” 2017. Doctoral Dissertation, University of Hong Kong. Accessed August 23, 2019. http://hdl.handle.net/10722/240674.

MLA Handbook (7^th Edition):

Jiang, Han. “On a general procedure for constructing confidence sets under partially identified models.” 2017. Web. 23 Aug 2019.

Vancouver:

Jiang H. On a general procedure for constructing confidence sets under partially identified models. [Internet] [Doctoral dissertation]. University of Hong Kong; 2017. [cited 2019 Aug 23]. Available from: http://hdl.handle.net/10722/240674.

Council of Science Editors:

Jiang H. On a general procedure for constructing confidence sets under partially identified models. [Doctoral Dissertation]. University of Hong Kong; 2017. Available from: http://hdl.handle.net/10722/240674

University of Hong Kong

4. Li, Zhaoyuan. Contributions to high-dimensional statistical analysis.

Degree: PhD, 2016, University of Hong Kong

URL: http://hdl.handle.net/10722/235899

►

In this thesis, for several important high-dimensional problems where the dimension is large in comparison with the sample size, new methodologies are investigated with new… (more)

▼

In this thesis, for several important high-dimensional problems where the dimension is large in comparison with the sample size, new methodologies are investigated with new limiting results and meaningful applications. In the first problem, I generalise two simple but effective procedures, the determinant-based and trace-based criteria, to general populations for high-dimensional classification. Their asymptotic misclassification probabilities are derived using the theory of large dimensional random matrices. One of main results is that the misclassification probability cannot vanish even if the sample size become very large for some situations. The performance of these two criteria are explored for various structures of mean vector and covariance. In the second problem, I study the question of testing independence between two large sets of variates. The main application here is to infer gene regulatory networks from gene expression data for normal and diseased populations, respectively. The networks are constructed by testing independence between pairs of genes and the test statistic is constructed from trace of a suitable large random matrix. Compared to traditional statistical methods, this new method successfully identifies important connections of genes in normal and diseased samples, respectively. In the third problem, I develop new statistical theory for probabilistic principal component analysis models in high dimensions. An accurate estimator of the noise variance is proposed. By using random-matrix theory, the asymptotic normalities of this estimator are established for Gaussian and non-Gaussian cases, respectively. In addition, based on this new estimator of noise variance, I develop several important applications including constructing new criterion of determining the number of principal components and deriving new asymptotics for the related goodness-of-fit statistic. In the last problem, I propose new tests to detect the existence of heteroscedasticity in high-dimensional linear regression. Using the theory of random Haar orthogonal matrices, the asymptotic normalities of statistics are obtained under the null and the assumption that the degree of freedom of model tends to infinity. These new tests are dimension-proof, which guarantees a wide applicability of them to different combinations of sample size and dimension. Extensive Monte-Carlo experiments and real data analyses demonstrate the superiority of our proposed tests over traditional methods in terms of size and power.

published_or_final_version

Statistics and Actuarial Science

Doctoral

Doctor of Philosophy

Subjects/Keywords: Mathematical statistics

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Li, Z. (2016). Contributions to high-dimensional statistical analysis. (Doctoral Dissertation). University of Hong Kong. Retrieved from http://hdl.handle.net/10722/235899

Chicago Manual of Style (16^th Edition):

Li, Zhaoyuan. “Contributions to high-dimensional statistical analysis.” 2016. Doctoral Dissertation, University of Hong Kong. Accessed August 23, 2019. http://hdl.handle.net/10722/235899.

MLA Handbook (7^th Edition):

Li, Zhaoyuan. “Contributions to high-dimensional statistical analysis.” 2016. Web. 23 Aug 2019.

Vancouver:

Li Z. Contributions to high-dimensional statistical analysis. [Internet] [Doctoral dissertation]. University of Hong Kong; 2016. [cited 2019 Aug 23]. Available from: http://hdl.handle.net/10722/235899.

Council of Science Editors:

Li Z. Contributions to high-dimensional statistical analysis. [Doctoral Dissertation]. University of Hong Kong; 2016. Available from: http://hdl.handle.net/10722/235899

5. Adeyemi, Rasheed Alani. Empirical statistical modelling for crop yields predictions: bayesian and uncertainty approaches.

Degree: Image, Statistical Sciences, 2015, University of Cape Town

URL: http://hdl.handle.net/11427/15533

► This thesis explores uncertainty statistics to model agricultural crop yields, in a situation where there are neither sampling observations nor historical record. The Bayesian approach… (more)

▼ This thesis explores uncertainty statistics to model agricultural crop yields, in a situation where there are neither sampling observations nor historical record. The Bayesian approach to a linear regression model is useful for predict ion of crop yield when there are quantity data issue s and the model structure uncertainty and the regression model involves a large number of explanatory variables. Data quantity issues might occur when a farmer is cultivating a new crop variety, moving to a new farming location or when introducing a new farming technology, where the situation may warrant a change in the current farming practice. The first part of this thesis involved the collection of data from experts' domain and the elicitation of the probability distributions. Uncertainty statistics, the foundation of uncertainty theory and the data gathering procedures were discussed in detail. We proposed an estimation procedure for the estimation of uncertainty distributions. The procedure was then implemented on agricultural data to fit some uncertainty distributions to five cereal crop yields. A Delphi method was introduced and used to fit uncertainty distributions for multiple experts' data of sesame seed yield. The thesis defined an uncertainty distance and derived a distance for a difference between two uncertainty distributions. We lastly estimated the distance between a hypothesized distribution and an uncertainty normal distribution. Although, the applicability of uncertainty statistics is limited to one sample model, the approach provides a fast approach to establish a standard for process parameters. Where no sampling observation exists or it is very expensive to acquire, the approach provides an opportunity to engage experts and come up with a model for guiding decision making. In the second part, we fitted a full dataset obtained from an agricultural survey of small-scale farmers to a linear regression model using direct Markov Chain Monte Carlo (MCMC), Bayesian estimation (with uniform prior) and maximum likelihood estimation (MLE) method. The results obtained from the three procedures yielded similar mean estimates, but the credible intervals were found to be narrower in Bayesian estimates than confidence intervals in MLE method. The predictive outcome of the estimated model was then assessed using simulated data for a set of covariates. Furthermore, the dataset was then randomly split into two data sets. The informative prior was later estimated from one-half called the "old data" using Ordinary Least Squares (OLS) method. Three models were then fitted onto the second half called the "new data": General Linear Model (GLM) (M1), Bayesian model with a non-informative prior (M2) and Bayesian model with informative prior (M3). A leave-one-outcross validation (LOOCV) method was used to compare the predictive performance of these models. It was found that the Bayesian models showed better predictive performance than M1. M3 (with a prior) had moderate average Cross Validation (CV) error and Cross Validation (CV)… Advisors/Committee Members: Guo, Renkuan (advisor), Dunne, Tim (advisor).

Subjects/Keywords: Mathematical Statistics

11 more images…

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APA (6^th Edition):

Adeyemi, R. A. (2015). Empirical statistical modelling for crop yields predictions: bayesian and uncertainty approaches. (Thesis). University of Cape Town. Retrieved from http://hdl.handle.net/11427/15533

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Adeyemi, Rasheed Alani. “Empirical statistical modelling for crop yields predictions: bayesian and uncertainty approaches.” 2015. Thesis, University of Cape Town. Accessed August 23, 2019. http://hdl.handle.net/11427/15533.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Adeyemi, Rasheed Alani. “Empirical statistical modelling for crop yields predictions: bayesian and uncertainty approaches.” 2015. Web. 23 Aug 2019.

Vancouver:

Adeyemi RA. Empirical statistical modelling for crop yields predictions: bayesian and uncertainty approaches. [Internet] [Thesis]. University of Cape Town; 2015. [cited 2019 Aug 23]. Available from: http://hdl.handle.net/11427/15533.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Adeyemi RA. Empirical statistical modelling for crop yields predictions: bayesian and uncertainty approaches. [Thesis]. University of Cape Town; 2015. Available from: http://hdl.handle.net/11427/15533

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of Cape Town

6. Ngwenya, Mzabalazo Z. Investigating 'optimal' kriging variance estimation :analytic and bootstrap estimators.

Degree: Image, Statistical Sciences, 2011, University of Cape Town

URL: http://hdl.handle.net/11427/11265

► Kriging is a widely used group of techniques for predicting unobserved responses at specified locations using a set of observations obtained from known locations. Kriging… (more)

Subjects/Keywords: Mathematical Statistics

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APA (6^th Edition):

Ngwenya, M. Z. (2011). Investigating 'optimal' kriging variance estimation :analytic and bootstrap estimators. (Thesis). University of Cape Town. Retrieved from http://hdl.handle.net/11427/11265

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Ngwenya, Mzabalazo Z. “Investigating 'optimal' kriging variance estimation :analytic and bootstrap estimators.” 2011. Thesis, University of Cape Town. Accessed August 23, 2019. http://hdl.handle.net/11427/11265.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Ngwenya, Mzabalazo Z. “Investigating 'optimal' kriging variance estimation :analytic and bootstrap estimators.” 2011. Web. 23 Aug 2019.

Vancouver:

Ngwenya MZ. Investigating 'optimal' kriging variance estimation :analytic and bootstrap estimators. [Internet] [Thesis]. University of Cape Town; 2011. [cited 2019 Aug 23]. Available from: http://hdl.handle.net/11427/11265.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Ngwenya MZ. Investigating 'optimal' kriging variance estimation :analytic and bootstrap estimators. [Thesis]. University of Cape Town; 2011. Available from: http://hdl.handle.net/11427/11265

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of Cape Town

7. Holloway, Jennifer Patricia. Time series analysis of count data with an application to the incidence of cholera.

Degree: Image, Statistical Sciences, 2011, University of Cape Town

URL: http://hdl.handle.net/11427/11088

► This dissertation comprises a study into the application of count data time series models to weekly counts of cholera cases that have been recorded in… (more)

Subjects/Keywords: Mathematical Statistics

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APA (6^th Edition):

Holloway, J. P. (2011). Time series analysis of count data with an application to the incidence of cholera. (Thesis). University of Cape Town. Retrieved from http://hdl.handle.net/11427/11088

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Holloway, Jennifer Patricia. “Time series analysis of count data with an application to the incidence of cholera.” 2011. Thesis, University of Cape Town. Accessed August 23, 2019. http://hdl.handle.net/11427/11088.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Holloway, Jennifer Patricia. “Time series analysis of count data with an application to the incidence of cholera.” 2011. Web. 23 Aug 2019.

Vancouver:

Holloway JP. Time series analysis of count data with an application to the incidence of cholera. [Internet] [Thesis]. University of Cape Town; 2011. [cited 2019 Aug 23]. Available from: http://hdl.handle.net/11427/11088.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Holloway JP. Time series analysis of count data with an application to the incidence of cholera. [Thesis]. University of Cape Town; 2011. Available from: http://hdl.handle.net/11427/11088

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of Cape Town

8. Familusi, Mary Ajibola. Analysis of clustered competing risks with application to a multicentre clinical trial.

Degree: Image, Statistical Sciences, 2016, University of Cape Town

URL: http://hdl.handle.net/11427/23763

► The usefulness of time-to-event (survival) analysis has made it gain a wide applicability in statistically modelling research. The methodological developments of time-to-event analysis that have… (more)

▼ The usefulness of time-to-event (survival) analysis has made it gain a wide applicability in statistically modelling research. The methodological developments of time-to-event analysis that have been widely adopted are: (i) The Kaplan-Meier method, for estimating the survival function; (ii) The log-rank test, for comparing the equality of two or more survival distributions; (m) The Cox proportional hazards model, for examining the covariate effects on the hazard function; and (iv) The accelerated failure time model, for examining the covariate effects on the survival function. Nonetheless, in time-to-event endpoints assessment, if subjects can fail from multiple mutually-exclusive causes, data are said to have competing risks. For competing risks data, the Fine and Gray proportional hazards model for sub-distributions has gained popularity due to its convenience in directly assessing the effect of covariates on the cumulative incidence function. Furthermore, sometimes competing risks data cannot be considered as independent because of a clustered design; for instance, in registry cohorts or multi-centre clinical trials. The Fine and Gray model has been extended to the analysis of clustered time-to-event data, by including random-centre effects or frailties in the sub-distribution hazard. This research focuses on the analysis of clustered competing risks with an application to the investigation of the management of pericarditis clinical trial (IMPI) dataset. IMPI is a multi- centre clinical trial that was carried out from 19 centres in 8 African countries with the principal objective of assessing the effectiveness and safety of adjunctive prednisolone and Mycobacterium indicus pranii immunotherapy, in reducing the composite outcome of death, constriction or cardiac tamponade, requiring pericardial drainage in patients with probable or definite tuberculous pericarditis. The clinical objective in this thesis is therefore to analyse time to these outcomes. In addition, the risk factors associated with these outcomes were determined, and the effect of the prednisolone and M. indcus pranii was examined, while adjusting for these risk factors and considering centres as a random effect. Using Cox proportional hazards model, it was found that age, weight, New York Heart Association (NYHA) class, hypotension, creatinine, and peripheral oedema show a statistically significant association with the composite outcome. Furthermore, weight, NYHA class, hypotension, creatinine and peripherial oedema show a statistically significant association with death. In addition, NYHA class and hypotension show a statistically significant association with cardiac tamponade. Lastly, prednisolone, gender, NYHA class, tachycardia, haemoglobin level, peripheral oedema, pulmonary infiltrate and HIV status show a statistically significant association with constriction. A value of 0.1 significance level was used to identify variables as significant in the univariate model using forward stepwise regression method. The random effect was found to be… Advisors/Committee Members: Gumedze, Freedom N (advisor).

Subjects/Keywords: Mathematical Statistics

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Familusi, M. A. (2016). Analysis of clustered competing risks with application to a multicentre clinical trial. (Thesis). University of Cape Town. Retrieved from http://hdl.handle.net/11427/23763

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Familusi, Mary Ajibola. “Analysis of clustered competing risks with application to a multicentre clinical trial.” 2016. Thesis, University of Cape Town. Accessed August 23, 2019. http://hdl.handle.net/11427/23763.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Familusi, Mary Ajibola. “Analysis of clustered competing risks with application to a multicentre clinical trial.” 2016. Web. 23 Aug 2019.

Vancouver:

Familusi MA. Analysis of clustered competing risks with application to a multicentre clinical trial. [Internet] [Thesis]. University of Cape Town; 2016. [cited 2019 Aug 23]. Available from: http://hdl.handle.net/11427/23763.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Familusi MA. Analysis of clustered competing risks with application to a multicentre clinical trial. [Thesis]. University of Cape Town; 2016. Available from: http://hdl.handle.net/11427/23763

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Columbia University

9. Hirshberg, David Abraham. Minimax-inspired Semiparametric Estimation and Causal Inference.

Degree: 2018, Columbia University

URL: https://doi.org/10.7916/D86Q3F30

► This thesis focuses on estimation and inference for a large class of semiparametric estimands: the class of continuous functionals of regression functions. This class includes… (more)

▼ This thesis focuses on estimation and inference for a large class of semiparametric estimands: the class of continuous functionals of regression functions. This class includes a number of estimands derived from causal inference problems, among then the average treatment effect for a binary treatment when treatment assignment is unconfounded and many of its generalizations for non-binary treatments and individualized treatment policies. Chapter 2, based on work with Stefan Wager, introduces the augmented minimax linear es- timator (AMLE), a general approach to the problem of estimating a continuous linear functional of a regression function. In this approach, we estimate the regression function, then subtract from a simple plug-in estimator of the functional a weighted combination of the estimated regression function’s residuals. For this, we use weights chosen to minimize the maximum of the mean squared error of the resulting estimator over regression functions in a chosen neighborhood of our estimated regression function. These weights are shown to be a universally consistent estimator our linear functional’s Riesz representer, the use of which would result in an exact bias correction for our plug- in estimator. While this convergence can be slow, especially when the Riesz representer is highly nonsmooth, the action of these weights on functions in the aforementioned neighborhood imitates that of the Riesz representer accurately even when they are slow to converge in other respects. As a result, we show that under no regularity conditions on the Riesz representer and minimal regularity conditions on the regression function, the proposed estimator is semiparametrically efficient. In simulation, it is shown to perform very well in the context of estimating the average partial effect in the conditional linear model, a simultaneous generalization of the average treatment effect to address continuous-valued treatments and of the partial linear model to address treatment effect heterogeneity. Chapter 3, based on work with Arian Maleki and José Zubizarreta, studies the minimax linear estimator, a simplified version of the AMLE in which the estimated regression function is taken to be zero, for a class of estimands generalizing the mean with outcomes missing at random. We show semiparametric efficiency under conditions that are only slightly stronger than those required for the AMLE. In addition, we bound the deviation of our estimator’s error from the averaged efficient influence function, characterizing the degree to which the first order asymptotic characterization of semiparametric efficiency is meaningful in finite samples. In simulation, this estimator is shown to perform well relative to alternatives in high-noise, small-sample settings with limited overlap between the covariate distribution of missing and nonmissing units, a setting that is challenging for approaches reliant on accurate estimation of either or both of the regression function and the propensity score. Chapter 4 discusses an approach…

Subjects/Keywords: Statistics; Parameter estimation; Mathematical statistics

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APA (6^th Edition):

Hirshberg, D. A. (2018). Minimax-inspired Semiparametric Estimation and Causal Inference. (Doctoral Dissertation). Columbia University. Retrieved from https://doi.org/10.7916/D86Q3F30

Chicago Manual of Style (16^th Edition):

Hirshberg, David Abraham. “Minimax-inspired Semiparametric Estimation and Causal Inference.” 2018. Doctoral Dissertation, Columbia University. Accessed August 23, 2019. https://doi.org/10.7916/D86Q3F30.

MLA Handbook (7^th Edition):

Hirshberg, David Abraham. “Minimax-inspired Semiparametric Estimation and Causal Inference.” 2018. Web. 23 Aug 2019.

Vancouver:

Hirshberg DA. Minimax-inspired Semiparametric Estimation and Causal Inference. [Internet] [Doctoral dissertation]. Columbia University; 2018. [cited 2019 Aug 23]. Available from: https://doi.org/10.7916/D86Q3F30.

Council of Science Editors:

Hirshberg DA. Minimax-inspired Semiparametric Estimation and Causal Inference. [Doctoral Dissertation]. Columbia University; 2018. Available from: https://doi.org/10.7916/D86Q3F30

10. Zhao, Yanchun. Comparison of Proposed K Sample Tests with Dietz's Test for Nondecreasing Ordered Alternatives for Bivariate Normal Data.

Degree: MS, Statistics, 2011, North Dakota State University

URL: http://hdl.handle.net/10365/28836

► There are many situations in which researchers want to consider a set of response variables simultaneously rather than just one response variable. For instance, a… (more)

Subjects/Keywords: Order statistics.; Mathematical statistics.; Nonparametric statistics.

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APA (6^th Edition):

Zhao, Y. (2011). Comparison of Proposed K Sample Tests with Dietz's Test for Nondecreasing Ordered Alternatives for Bivariate Normal Data. (Masters Thesis). North Dakota State University. Retrieved from http://hdl.handle.net/10365/28836

Chicago Manual of Style (16^th Edition):

Zhao, Yanchun. “Comparison of Proposed K Sample Tests with Dietz's Test for Nondecreasing Ordered Alternatives for Bivariate Normal Data.” 2011. Masters Thesis, North Dakota State University. Accessed August 23, 2019. http://hdl.handle.net/10365/28836.

MLA Handbook (7^th Edition):

Zhao, Yanchun. “Comparison of Proposed K Sample Tests with Dietz's Test for Nondecreasing Ordered Alternatives for Bivariate Normal Data.” 2011. Web. 23 Aug 2019.

Vancouver:

Zhao Y. Comparison of Proposed K Sample Tests with Dietz's Test for Nondecreasing Ordered Alternatives for Bivariate Normal Data. [Internet] [Masters thesis]. North Dakota State University; 2011. [cited 2019 Aug 23]. Available from: http://hdl.handle.net/10365/28836.

Council of Science Editors:

Zhao Y. Comparison of Proposed K Sample Tests with Dietz's Test for Nondecreasing Ordered Alternatives for Bivariate Normal Data. [Masters Thesis]. North Dakota State University; 2011. Available from: http://hdl.handle.net/10365/28836

Columbia University

11. Patra, Rohit Kumar. Semiparametric inference with shape constraints.

Degree: 2016, Columbia University

URL: https://doi.org/10.7916/D88C9WGR

► This thesis deals with estimation and inference in two semiparametric problems: a two-component mixture model and a single index regression model. For the two-component mixture… (more)

▼ This thesis deals with estimation and inference in two semiparametric problems: a two-component mixture model and a single index regression model. For the two-component mixture model, we assume that the distribution of one component is known and develop methods for estimating the mixing proportion and the unknown distribution using ideas from shape restricted function estimation. We establish the consistency of our estimators. We find the rate of convergence and the asymptotic limit of our estimator for the mixing proportion. Furthermore, we develop a completely automated distribution-free honest finite sample lower confidence bound for the mixing proportion. We compare the proposed estimators, which are easily implementable, with some of the existing procedures through simulation studies and analyse two data sets, one arising from an application in astronomy and the other from a microarray experiment. For the single index model, we consider estimation of the unknown link function and the finite dimensional index parameter. We study the problem when the true link function is assumed to be: (1) smooth or (2) convex. When the link function is just assumed to be smooth, in contrast to standard kernel based methods, we use smoothing splines to estimate the link function. We prove the consistency and find the rates of convergence of the proposed estimators. We establish root-n-rate of convergence and the semiparametric efficiency of the parametric component under mild assumptions. When the link function is assumed to be convex, we propose a shape constrained penalized least squares estimator and a Lipschitz constrained least squares estimator for the unknown quantities. We prove the consistency and find the rates of convergence for both estimators. For the shape constrained penalized least squares estimator, we establish root-n-rate of convergence and the semiparametric efficiency of the parametric component under mild assumptions and conjecture that the parametric component of the Lipschitz constrained least squares estimator is semiparametrically efficient. We develop the R package "simest'' that can be used (to compute the proposed estimators) even for moderately large dimensions.

Subjects/Keywords: Regression analysis; Mathematical statistics; Probabilities; Statistics; Statistics

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APA (6^th Edition):

Patra, R. K. (2016). Semiparametric inference with shape constraints. (Doctoral Dissertation). Columbia University. Retrieved from https://doi.org/10.7916/D88C9WGR

Chicago Manual of Style (16^th Edition):

Patra, Rohit Kumar. “Semiparametric inference with shape constraints.” 2016. Doctoral Dissertation, Columbia University. Accessed August 23, 2019. https://doi.org/10.7916/D88C9WGR.

MLA Handbook (7^th Edition):

Patra, Rohit Kumar. “Semiparametric inference with shape constraints.” 2016. Web. 23 Aug 2019.

Vancouver:

Patra RK. Semiparametric inference with shape constraints. [Internet] [Doctoral dissertation]. Columbia University; 2016. [cited 2019 Aug 23]. Available from: https://doi.org/10.7916/D88C9WGR.

Council of Science Editors:

Patra RK. Semiparametric inference with shape constraints. [Doctoral Dissertation]. Columbia University; 2016. Available from: https://doi.org/10.7916/D88C9WGR

Michigan State University

12. Chawla, Akshita. Inferences in mixed-effects models with missing covariates and application to meta-analysis.

Degree: 2015, Michigan State University

URL: http://etd.lib.msu.edu/islandora/object/etd:3712

►

Thesis Ph. D. Michigan State University. Statistics 2015

This dissertation consists of four chapters. The first chapter motivates problems of interest and gives a brief… (more)

▼

Thesis Ph. D. Michigan State University. Statistics 2015

This dissertation consists of four chapters. The first chapter motivates problems of interest and gives a brief literature review.The second chapter investigates popular methods of testing in linear mixed models. The linear mixed model is prominently used in research involving human and animal subjects. Drawing inferences on model parameters is primarily important for explaining the biological outcomes. Unlike the standard linear regression models, the linear mixed model inference is based on asymptotic theory. Thus a study of finite sample performance of the existing procedure could be of practical interest. This chapter reviews the following popular approaches of testing fixed effects in a linear mixed model: (1) likelihood ratio test, (2) restricted maximum likelihood ratio test (3) Bartlett corrected profile likelihood ratio test (4) Bartlett corrected Cox-Reid likelihood ratio test and (5) Kenward-Roger approximate F-test. The performance of these methods are compared based on Type-I error rate via an extensive simulation study. We conclude that the Kenward-Roger test is the best in preserving Type-I error rate.The third chapter develops a test for fixed effects in small sample linear mixed model with missing covariates. Partially observed variables are common in scientific research. Ignoring the subjects with partial information may lead to biased and or inefficient estimators, and consequently any test based only on the completely observed subjects may inflate the error probabilities. Missing data issue has been extensively considered in the regression model, especially in the independently identically (IID) data setup. Relatively less attention has been paid for handling missing covariate data in the linear mixed effects model – a dependent data scenario. In case of complete data, Kenward-Roger's F test is a well established method for testing of fixed effects in a linear mixed model. In this chapter, we present a modified Kenward-Roger type test for testing fixed effects in a linear mixed model when the covariates are missing at random. In the proposed method, we attempt to reduce bias from three sources, the small sample bias, the bias due to missing values, and the bias due to estimation of variance components. The operating characteristics of the method is judged and compared with two existing approaches, listwise deletion and mean imputation, via simulation studies.The fourth chapter applies the random effects model to meta-analysis of rare event data. In clinical trials and many other applications, meta-analysis is mainly conducted to summarize the effect size on primary endpoints or on key secondary endpoints. However, there are times when safety endpoints such as risk of complications in pancreatic surgery or the risk of myocardial infarction (MI) is the main point of interest in a drug study. As these types of safety endpoints are rare in nature, most studies report zero such incidences; the general statistical framework of meta-analysis…

Advisors/Committee Members: Maiti, Tapabrata, Lim, Chae Young, Zhong, Ping- Shou, Tempelman, Robert.

Subjects/Keywords: Multilevel models (Statistics) – Evaluation; Mathematical statistics; Statistics

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APA (6^th Edition):

Chawla, A. (2015). Inferences in mixed-effects models with missing covariates and application to meta-analysis. (Thesis). Michigan State University. Retrieved from http://etd.lib.msu.edu/islandora/object/etd:3712

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Chawla, Akshita. “Inferences in mixed-effects models with missing covariates and application to meta-analysis.” 2015. Thesis, Michigan State University. Accessed August 23, 2019. http://etd.lib.msu.edu/islandora/object/etd:3712.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Chawla, Akshita. “Inferences in mixed-effects models with missing covariates and application to meta-analysis.” 2015. Web. 23 Aug 2019.

Vancouver:

Chawla A. Inferences in mixed-effects models with missing covariates and application to meta-analysis. [Internet] [Thesis]. Michigan State University; 2015. [cited 2019 Aug 23]. Available from: http://etd.lib.msu.edu/islandora/object/etd:3712.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Chawla A. Inferences in mixed-effects models with missing covariates and application to meta-analysis. [Thesis]. Michigan State University; 2015. Available from: http://etd.lib.msu.edu/islandora/object/etd:3712

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

The Ohio State University

13. Gupta, Radhey Shyam. Paired comparison model building and related inference .

Degree: PhD, Graduate School, 1973, The Ohio State University

URL: http://rave.ohiolink.edu/etdc/view?acc_num=osu1486744760979139

Subjects/Keywords: Statistics; Mathematical statistics

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APA (6^th Edition):

Gupta, R. S. (1973). Paired comparison model building and related inference . (Doctoral Dissertation). The Ohio State University. Retrieved from http://rave.ohiolink.edu/etdc/view?acc_num=osu1486744760979139

Chicago Manual of Style (16^th Edition):

Gupta, Radhey Shyam. “Paired comparison model building and related inference .” 1973. Doctoral Dissertation, The Ohio State University. Accessed August 23, 2019. http://rave.ohiolink.edu/etdc/view?acc_num=osu1486744760979139.

MLA Handbook (7^th Edition):

Gupta, Radhey Shyam. “Paired comparison model building and related inference .” 1973. Web. 23 Aug 2019.

Vancouver:

Gupta RS. Paired comparison model building and related inference . [Internet] [Doctoral dissertation]. The Ohio State University; 1973. [cited 2019 Aug 23]. Available from: http://rave.ohiolink.edu/etdc/view?acc_num=osu1486744760979139.

Council of Science Editors:

Gupta RS. Paired comparison model building and related inference . [Doctoral Dissertation]. The Ohio State University; 1973. Available from: http://rave.ohiolink.edu/etdc/view?acc_num=osu1486744760979139

The Ohio State University

14. Lam, Chun Choon. A class of biased estimators for general linear models .

Degree: PhD, Graduate School, 1973, The Ohio State University

URL: http://rave.ohiolink.edu/etdc/view?acc_num=osu1486744760982524

Subjects/Keywords: Statistics; Mathematical statistics

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APA (6^th Edition):

Lam, C. C. (1973). A class of biased estimators for general linear models . (Doctoral Dissertation). The Ohio State University. Retrieved from http://rave.ohiolink.edu/etdc/view?acc_num=osu1486744760982524

Chicago Manual of Style (16^th Edition):

Lam, Chun Choon. “A class of biased estimators for general linear models .” 1973. Doctoral Dissertation, The Ohio State University. Accessed August 23, 2019. http://rave.ohiolink.edu/etdc/view?acc_num=osu1486744760982524.

MLA Handbook (7^th Edition):

Lam, Chun Choon. “A class of biased estimators for general linear models .” 1973. Web. 23 Aug 2019.

Vancouver:

Lam CC. A class of biased estimators for general linear models . [Internet] [Doctoral dissertation]. The Ohio State University; 1973. [cited 2019 Aug 23]. Available from: http://rave.ohiolink.edu/etdc/view?acc_num=osu1486744760982524.

Council of Science Editors:

Lam CC. A class of biased estimators for general linear models . [Doctoral Dissertation]. The Ohio State University; 1973. Available from: http://rave.ohiolink.edu/etdc/view?acc_num=osu1486744760982524

The Ohio State University

15. Choudhary, Pankaj K. Assessment of agreement and selection of the best instrument in method comparison studies.

Degree: PhD, Graduate School, 2002, The Ohio State University

URL: http://rave.ohiolink.edu/etdc/view?acc_num=osu1486464627807296

Subjects/Keywords: Statistics; Mathematical statistics

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APA (6^th Edition):

Choudhary, P. K. (2002). Assessment of agreement and selection of the best instrument in method comparison studies. (Doctoral Dissertation). The Ohio State University. Retrieved from http://rave.ohiolink.edu/etdc/view?acc_num=osu1486464627807296

Chicago Manual of Style (16^th Edition):

Choudhary, Pankaj K. “Assessment of agreement and selection of the best instrument in method comparison studies.” 2002. Doctoral Dissertation, The Ohio State University. Accessed August 23, 2019. http://rave.ohiolink.edu/etdc/view?acc_num=osu1486464627807296.

MLA Handbook (7^th Edition):

Choudhary, Pankaj K. “Assessment of agreement and selection of the best instrument in method comparison studies.” 2002. Web. 23 Aug 2019.

Vancouver:

Choudhary PK. Assessment of agreement and selection of the best instrument in method comparison studies. [Internet] [Doctoral dissertation]. The Ohio State University; 2002. [cited 2019 Aug 23]. Available from: http://rave.ohiolink.edu/etdc/view?acc_num=osu1486464627807296.

Council of Science Editors:

Choudhary PK. Assessment of agreement and selection of the best instrument in method comparison studies. [Doctoral Dissertation]. The Ohio State University; 2002. Available from: http://rave.ohiolink.edu/etdc/view?acc_num=osu1486464627807296

The Ohio State University

16. Situmeang, Robinson Panahatan. Motivational supplements to lecture discussion in introductory college statistics courses.

Degree: PhD, Graduate School, 1976, The Ohio State University

URL: http://rave.ohiolink.edu/etdc/view?acc_num=osu1487003980854831

Subjects/Keywords: Statistics; Mathematical statistics

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APA (6^th Edition):

Situmeang, R. P. (1976). Motivational supplements to lecture discussion in introductory college statistics courses. (Doctoral Dissertation). The Ohio State University. Retrieved from http://rave.ohiolink.edu/etdc/view?acc_num=osu1487003980854831

Chicago Manual of Style (16^th Edition):

Situmeang, Robinson Panahatan. “Motivational supplements to lecture discussion in introductory college statistics courses.” 1976. Doctoral Dissertation, The Ohio State University. Accessed August 23, 2019. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487003980854831.

MLA Handbook (7^th Edition):

Situmeang, Robinson Panahatan. “Motivational supplements to lecture discussion in introductory college statistics courses.” 1976. Web. 23 Aug 2019.

Vancouver:

Situmeang RP. Motivational supplements to lecture discussion in introductory college statistics courses. [Internet] [Doctoral dissertation]. The Ohio State University; 1976. [cited 2019 Aug 23]. Available from: http://rave.ohiolink.edu/etdc/view?acc_num=osu1487003980854831.

Council of Science Editors:

Situmeang RP. Motivational supplements to lecture discussion in introductory college statistics courses. [Doctoral Dissertation]. The Ohio State University; 1976. Available from: http://rave.ohiolink.edu/etdc/view?acc_num=osu1487003980854831

The Ohio State University

17. Sturm, George W. Distribution-free tests for the bivariate two-sample location problem.

Degree: PhD, Graduate School, 1978, The Ohio State University

URL: http://rave.ohiolink.edu/etdc/view?acc_num=osu1487083723756764

Subjects/Keywords: Statistics; Mathematical statistics

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APA (6^th Edition):

Sturm, G. W. (1978). Distribution-free tests for the bivariate two-sample location problem. (Doctoral Dissertation). The Ohio State University. Retrieved from http://rave.ohiolink.edu/etdc/view?acc_num=osu1487083723756764

Chicago Manual of Style (16^th Edition):

Sturm, George W. “Distribution-free tests for the bivariate two-sample location problem.” 1978. Doctoral Dissertation, The Ohio State University. Accessed August 23, 2019. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487083723756764.

MLA Handbook (7^th Edition):

Sturm, George W. “Distribution-free tests for the bivariate two-sample location problem.” 1978. Web. 23 Aug 2019.

Vancouver:

Sturm GW. Distribution-free tests for the bivariate two-sample location problem. [Internet] [Doctoral dissertation]. The Ohio State University; 1978. [cited 2019 Aug 23]. Available from: http://rave.ohiolink.edu/etdc/view?acc_num=osu1487083723756764.

Council of Science Editors:

Sturm GW. Distribution-free tests for the bivariate two-sample location problem. [Doctoral Dissertation]. The Ohio State University; 1978. Available from: http://rave.ohiolink.edu/etdc/view?acc_num=osu1487083723756764

The Ohio State University

18. Oprian, Charles Allen. On the exact power functions of some rank tests for the trend alternative.

Degree: PhD, Graduate School, 1970, The Ohio State University

URL: http://rave.ohiolink.edu/etdc/view?acc_num=osu148666081878712

Subjects/Keywords: Statistics; Mathematical statistics

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APA (6^th Edition):

Oprian, C. A. (1970). On the exact power functions of some rank tests for the trend alternative. (Doctoral Dissertation). The Ohio State University. Retrieved from http://rave.ohiolink.edu/etdc/view?acc_num=osu148666081878712

Chicago Manual of Style (16^th Edition):

Oprian, Charles Allen. “On the exact power functions of some rank tests for the trend alternative.” 1970. Doctoral Dissertation, The Ohio State University. Accessed August 23, 2019. http://rave.ohiolink.edu/etdc/view?acc_num=osu148666081878712.

MLA Handbook (7^th Edition):

Oprian, Charles Allen. “On the exact power functions of some rank tests for the trend alternative.” 1970. Web. 23 Aug 2019.

Vancouver:

Oprian CA. On the exact power functions of some rank tests for the trend alternative. [Internet] [Doctoral dissertation]. The Ohio State University; 1970. [cited 2019 Aug 23]. Available from: http://rave.ohiolink.edu/etdc/view?acc_num=osu148666081878712.

Council of Science Editors:

Oprian CA. On the exact power functions of some rank tests for the trend alternative. [Doctoral Dissertation]. The Ohio State University; 1970. Available from: http://rave.ohiolink.edu/etdc/view?acc_num=osu148666081878712

The Ohio State University

19. Fulcomer, Mark Charles. Cross-validation performance of linear and quadratic discriminatory analysis in two populations.

Degree: PhD, Graduate School, 1970, The Ohio State University

URL: http://rave.ohiolink.edu/etdc/view?acc_num=osu1486662110465056

Subjects/Keywords: Statistics; Mathematical statistics

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APA (6^th Edition):

Fulcomer, M. C. (1970). Cross-validation performance of linear and quadratic discriminatory analysis in two populations. (Doctoral Dissertation). The Ohio State University. Retrieved from http://rave.ohiolink.edu/etdc/view?acc_num=osu1486662110465056

Chicago Manual of Style (16^th Edition):

Fulcomer, Mark Charles. “Cross-validation performance of linear and quadratic discriminatory analysis in two populations.” 1970. Doctoral Dissertation, The Ohio State University. Accessed August 23, 2019. http://rave.ohiolink.edu/etdc/view?acc_num=osu1486662110465056.

MLA Handbook (7^th Edition):

Fulcomer, Mark Charles. “Cross-validation performance of linear and quadratic discriminatory analysis in two populations.” 1970. Web. 23 Aug 2019.

Vancouver:

Fulcomer MC. Cross-validation performance of linear and quadratic discriminatory analysis in two populations. [Internet] [Doctoral dissertation]. The Ohio State University; 1970. [cited 2019 Aug 23]. Available from: http://rave.ohiolink.edu/etdc/view?acc_num=osu1486662110465056.

Council of Science Editors:

Fulcomer MC. Cross-validation performance of linear and quadratic discriminatory analysis in two populations. [Doctoral Dissertation]. The Ohio State University; 1970. Available from: http://rave.ohiolink.edu/etdc/view?acc_num=osu1486662110465056

The Ohio State University

20. Heydorn, Richard P.,1935-. Nonparametric classification.

Degree: PhD, Graduate School, 1971, The Ohio State University

URL: http://rave.ohiolink.edu/etdc/view?acc_num=osu1486663155897435

Subjects/Keywords: Statistics; Mathematical statistics

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APA (6^th Edition):

Heydorn, R. P. ,. (1971). Nonparametric classification. (Doctoral Dissertation). The Ohio State University. Retrieved from http://rave.ohiolink.edu/etdc/view?acc_num=osu1486663155897435

Chicago Manual of Style (16^th Edition):

Heydorn, Richard P ,1935-. “Nonparametric classification.” 1971. Doctoral Dissertation, The Ohio State University. Accessed August 23, 2019. http://rave.ohiolink.edu/etdc/view?acc_num=osu1486663155897435.

MLA Handbook (7^th Edition):

Heydorn, Richard P ,1935-. “Nonparametric classification.” 1971. Web. 23 Aug 2019.

Vancouver:

Heydorn RP,. Nonparametric classification. [Internet] [Doctoral dissertation]. The Ohio State University; 1971. [cited 2019 Aug 23]. Available from: http://rave.ohiolink.edu/etdc/view?acc_num=osu1486663155897435.

Council of Science Editors:

Heydorn RP,. Nonparametric classification. [Doctoral Dissertation]. The Ohio State University; 1971. Available from: http://rave.ohiolink.edu/etdc/view?acc_num=osu1486663155897435

University of Hong Kong

21. 刘俊宏; Liu, Junhong. A bootstrap procedure for unsupervised classification based on variable and observation resampling.

Degree: M. Phil., 2017, University of Hong Kong

URL: http://hdl.handle.net/10722/239967

►

In this thesis, we first investigate the performance of bagged sparse 2-means clustering using a conventional bagging procedure. We next propose a cross bagging procedure,… (more)

Subjects/Keywords: Bootstrap (Statistics); Cluster analysis; Mathematical statistics

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APA (6^th Edition):

刘俊宏; Liu, J. (2017). A bootstrap procedure for unsupervised classification based on variable and observation resampling. (Masters Thesis). University of Hong Kong. Retrieved from http://hdl.handle.net/10722/239967

Chicago Manual of Style (16^th Edition):

刘俊宏; Liu, Junhong. “A bootstrap procedure for unsupervised classification based on variable and observation resampling.” 2017. Masters Thesis, University of Hong Kong. Accessed August 23, 2019. http://hdl.handle.net/10722/239967.

MLA Handbook (7^th Edition):

刘俊宏; Liu, Junhong. “A bootstrap procedure for unsupervised classification based on variable and observation resampling.” 2017. Web. 23 Aug 2019.

Vancouver:

刘俊宏; Liu J. A bootstrap procedure for unsupervised classification based on variable and observation resampling. [Internet] [Masters thesis]. University of Hong Kong; 2017. [cited 2019 Aug 23]. Available from: http://hdl.handle.net/10722/239967.

Council of Science Editors:

刘俊宏; Liu J. A bootstrap procedure for unsupervised classification based on variable and observation resampling. [Masters Thesis]. University of Hong Kong; 2017. Available from: http://hdl.handle.net/10722/239967

University of Oklahoma

22. Harkins, Ralph Douglas. Methods for testing the assumption of homogeneity of regression coefficients for the randomized complete block design analysis of covariance.

Degree: PhD, 1967, University of Oklahoma

URL: http://hdl.handle.net/11244/2271

Subjects/Keywords: Statistics.; Mathematical statistics.

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APA (6^th Edition):

Harkins, R. D. (1967). Methods for testing the assumption of homogeneity of regression coefficients for the randomized complete block design analysis of covariance. (Doctoral Dissertation). University of Oklahoma. Retrieved from http://hdl.handle.net/11244/2271

Chicago Manual of Style (16^th Edition):

Harkins, Ralph Douglas. “Methods for testing the assumption of homogeneity of regression coefficients for the randomized complete block design analysis of covariance.” 1967. Doctoral Dissertation, University of Oklahoma. Accessed August 23, 2019. http://hdl.handle.net/11244/2271.

MLA Handbook (7^th Edition):

Harkins, Ralph Douglas. “Methods for testing the assumption of homogeneity of regression coefficients for the randomized complete block design analysis of covariance.” 1967. Web. 23 Aug 2019.

Vancouver:

Harkins RD. Methods for testing the assumption of homogeneity of regression coefficients for the randomized complete block design analysis of covariance. [Internet] [Doctoral dissertation]. University of Oklahoma; 1967. [cited 2019 Aug 23]. Available from: http://hdl.handle.net/11244/2271.

Council of Science Editors:

Harkins RD. Methods for testing the assumption of homogeneity of regression coefficients for the randomized complete block design analysis of covariance. [Doctoral Dissertation]. University of Oklahoma; 1967. Available from: http://hdl.handle.net/11244/2271

23. Shafi, Muhammad Ammar. Application of fuzzy linear regression models for predicting tumor size of colorectal cancer in Malaysia’s hospital.

Degree: Fakulti Sains, Teknologi dan Pembangunan Insan, 2015, Universiti Tun Hussein Onn Malaysia

URL: http://eprints.uthm.edu.my/7004/

► Fuzzy linear regression analysis has become popular among researchers and standard model in analysing data vagueness phenomena. These models were represented by five statistical models… (more)

Subjects/Keywords: QA273 Probabilities. Mathematical statistics

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APA (6^th Edition):

Shafi, M. A. (2015). Application of fuzzy linear regression models for predicting tumor size of colorectal cancer in Malaysia’s hospital. (Masters Thesis). Universiti Tun Hussein Onn Malaysia. Retrieved from http://eprints.uthm.edu.my/7004/

Chicago Manual of Style (16^th Edition):

Shafi, Muhammad Ammar. “Application of fuzzy linear regression models for predicting tumor size of colorectal cancer in Malaysia’s hospital.” 2015. Masters Thesis, Universiti Tun Hussein Onn Malaysia. Accessed August 23, 2019. http://eprints.uthm.edu.my/7004/.

MLA Handbook (7^th Edition):

Shafi, Muhammad Ammar. “Application of fuzzy linear regression models for predicting tumor size of colorectal cancer in Malaysia’s hospital.” 2015. Web. 23 Aug 2019.

Vancouver:

Shafi MA. Application of fuzzy linear regression models for predicting tumor size of colorectal cancer in Malaysia’s hospital. [Internet] [Masters thesis]. Universiti Tun Hussein Onn Malaysia; 2015. [cited 2019 Aug 23]. Available from: http://eprints.uthm.edu.my/7004/.

Council of Science Editors:

Shafi MA. Application of fuzzy linear regression models for predicting tumor size of colorectal cancer in Malaysia’s hospital. [Masters Thesis]. Universiti Tun Hussein Onn Malaysia; 2015. Available from: http://eprints.uthm.edu.my/7004/

University of Glasgow

24. Gopal Pillay, Khuneswari. Model selection and model averaging in the presence of missing values .

Degree: PhD, School of Mathematics and Statistics, 2015, University of Glasgow

URL: http://eprints.uthm.edu.my/7766/

► Model averaging has been proposed as an alternative to model selection which is intended to overcome the underestimation of standard errors that is a consequence… (more)

▼ Model averaging has been proposed as an alternative to model selection which is intended to overcome the underestimation of standard errors that is a consequence of model selection. Model selection and model averaging become more complicated in the presence of missing data. Three different model selection approaches (RR, STACK and M-STACK) and model averaging using three model-building strategies (non-overlapping variable sets, inclusive and restrictive strategies) were explored to combine results from multiply-imputed data sets using a Monte Carlo simulation study on some simple linear and generalized linear models. Imputation was carried out using chained equations (via the "norm" method in the R package MICE). The simulation results showed that the STACK method performs better than RR and M-STACK in terms of model selection and prediction, whereas model averaging performs slightly better than STACK in terms of prediction. The inclusive and restrictive strategies perform better in terms of prediction, but non-overlapping variable sets performs better for model selection. STACK and model averaging using all three model-building strategies were proposed to combine the results from a multiply-imputed data set from the Gateshead Millennium Study (GMS). The performance of STACK and model averaging was compared using mean square error of prediction (MSE(P)) in a 10% cross-validation test. The results showed that STACK using an inclusive strategy provided a better prediction than model averaging. This coincides with the results obtained through a mimic simulation study of GMS data. In addition, the inclusive strategy for building imputation and prediction models was better than the non-overlapping variable sets and restrictive strategy. The presence of highly correlated covariates and response is believed to have led to better prediction in this particular context. Model averaging using non-overlapping variable sets performs better only if an auxiliary variable is available. However, STACK using an inclusive strategy performs well when there is no auxiliary variable available. Therefore, it is advisable to use STACK with an inclusive model-building strategy and highly correlated covariates (where available) to make predictions in the presence of missing data. Alternatively, model averaging with non-overlapping variables sets can be used if an auxiliary variable is available.

Subjects/Keywords: QA273 Probabilities. Mathematical statistics

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Gopal Pillay, K. (2015). Model selection and model averaging in the presence of missing values . (Doctoral Dissertation). University of Glasgow. Retrieved from http://eprints.uthm.edu.my/7766/

Chicago Manual of Style (16^th Edition):

Gopal Pillay, Khuneswari. “Model selection and model averaging in the presence of missing values .” 2015. Doctoral Dissertation, University of Glasgow. Accessed August 23, 2019. http://eprints.uthm.edu.my/7766/.

MLA Handbook (7^th Edition):

Gopal Pillay, Khuneswari. “Model selection and model averaging in the presence of missing values .” 2015. Web. 23 Aug 2019.

Vancouver:

Gopal Pillay K. Model selection and model averaging in the presence of missing values . [Internet] [Doctoral dissertation]. University of Glasgow; 2015. [cited 2019 Aug 23]. Available from: http://eprints.uthm.edu.my/7766/.

Council of Science Editors:

Gopal Pillay K. Model selection and model averaging in the presence of missing values . [Doctoral Dissertation]. University of Glasgow; 2015. Available from: http://eprints.uthm.edu.my/7766/

25. Nor, Maria Elena. Error magnitude and directional accuracy for time series forecasting evaluation.

Degree: PhD, Faculty of Science, 2014, Universiti Teknologi Malaysia

URL: http://eprints.uthm.edu.my/7767/

► Evaluation of forecast accuracy is very much influenced by the choice of accurate measurement since it can produce different conclusion from the empirical results. Thus,… (more)

Subjects/Keywords: QA273 Probabilities. Mathematical statistics

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Nor, M. E. (2014). Error magnitude and directional accuracy for time series forecasting evaluation. (Doctoral Dissertation). Universiti Teknologi Malaysia. Retrieved from http://eprints.uthm.edu.my/7767/

Chicago Manual of Style (16^th Edition):

Nor, Maria Elena. “Error magnitude and directional accuracy for time series forecasting evaluation.” 2014. Doctoral Dissertation, Universiti Teknologi Malaysia. Accessed August 23, 2019. http://eprints.uthm.edu.my/7767/.

MLA Handbook (7^th Edition):

Nor, Maria Elena. “Error magnitude and directional accuracy for time series forecasting evaluation.” 2014. Web. 23 Aug 2019.

Vancouver:

Nor ME. Error magnitude and directional accuracy for time series forecasting evaluation. [Internet] [Doctoral dissertation]. Universiti Teknologi Malaysia; 2014. [cited 2019 Aug 23]. Available from: http://eprints.uthm.edu.my/7767/.

Council of Science Editors:

Nor ME. Error magnitude and directional accuracy for time series forecasting evaluation. [Doctoral Dissertation]. Universiti Teknologi Malaysia; 2014. Available from: http://eprints.uthm.edu.my/7767/

26. Mamat, Rabiei. Maximum total attribute relative of soft-set theory for efficient categorical data clustering.

Degree: PhD, Fakulti Sains Komputer dan Teknologi Maklumat, 2014, Universiti Tun Hussein Onn Malaysia

URL: http://eprints.uthm.edu.my/8056/

► Clustering a set of categorical data into a homogenous class is a fundamental operation in data mining. A number of clustering algorithms have been proposed… (more)

Subjects/Keywords: QA273 Probabilities. Mathematical statistics

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Mamat, R. (2014). Maximum total attribute relative of soft-set theory for efficient categorical data clustering. (Doctoral Dissertation). Universiti Tun Hussein Onn Malaysia. Retrieved from http://eprints.uthm.edu.my/8056/

Chicago Manual of Style (16^th Edition):

Mamat, Rabiei. “Maximum total attribute relative of soft-set theory for efficient categorical data clustering.” 2014. Doctoral Dissertation, Universiti Tun Hussein Onn Malaysia. Accessed August 23, 2019. http://eprints.uthm.edu.my/8056/.

MLA Handbook (7^th Edition):

Mamat, Rabiei. “Maximum total attribute relative of soft-set theory for efficient categorical data clustering.” 2014. Web. 23 Aug 2019.

Vancouver:

Mamat R. Maximum total attribute relative of soft-set theory for efficient categorical data clustering. [Internet] [Doctoral dissertation]. Universiti Tun Hussein Onn Malaysia; 2014. [cited 2019 Aug 23]. Available from: http://eprints.uthm.edu.my/8056/.

Council of Science Editors:

Mamat R. Maximum total attribute relative of soft-set theory for efficient categorical data clustering. [Doctoral Dissertation]. Universiti Tun Hussein Onn Malaysia; 2014. Available from: http://eprints.uthm.edu.my/8056/

27. Ramli, Azizul Azhar. Building dynamic fuzzy regression model based on convex hull algorithm and its industrial applications.

Degree: PhD, Graduate School of Information, Production and Systems, 2016, Waseda University, Japan

URL: http://eprints.uthm.edu.my/9166/

► The conventional regression model was widely used in various real applications for 50 years. Precise and accurate models for prediction are important, especially for decision… (more)

▼ The conventional regression model was widely used in various real applications for 50 years. Precise and accurate models for prediction are important, especially for decision making purposes. Fuzzy logic is an approach to computing based on the "degrees of truth" rather than the common "true or false" Boolean logic, on which a modern computer is based. In other words, it deals with reasoning that is approximate rather than fixed or exact. Nowadays, a huge number of transactions are produced with an enormous amount of raw data. Comparing with the statistic regression method, fuzzy regression model however, requires large computation time, especially to dynamic or "on-line" data processing, because it takes all fuzzy samples as data points. The main aim of this research is to propose an innovative and efficient approach by combining the convex hull approach with the fuzzy regression technique to deal with dynamic data processing. This approach enables the computation of huge data within a realistic time frame. Three new dynamic models of the convex hull-based fuzzy regression are proposed and applied in industrial applications including granular data and switching regression problem. Specifically, well-known techniques such as conventional regression model are thoroughly extended and generalized. Statistical analysis techniques have been widely studied to improve its capability and produce effective prediction or forecasting models. However, these conventional techniques are not suitable for possibilistic or vague data processing. Then, since early 2000, some previous research studies highlighted the combination (or hybrid) approach for enhancing the computational performance and increasing the quality of produced regression models. However, most of them focus on batch data processing, which is not applicable for dynamic data analysis processes. Recently, an incipient practice called Soft Computing (SC) technology helps models and classifiers exploit tolerance for imprecision and uncertainty. The main objective of this research is to specifically create and design an algorithm for producing fuzzy regression models for dynamic data processing. A mathematical geometry facility such as Beneath-Beyond algorithm has been chosen to be combined together as one of convex hull incremental algorithm. Hence, the computational complexity and overall processing time were evaluated and successfully shown their simultaneously decrease. Therefore, decision making processes will be more efficient and well-timed.

Subjects/Keywords: QA273 Probabilities. Mathematical statistics

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Ramli, A. A. (2016). Building dynamic fuzzy regression model based on convex hull algorithm and its industrial applications. (Doctoral Dissertation). Waseda University, Japan. Retrieved from http://eprints.uthm.edu.my/9166/

Chicago Manual of Style (16^th Edition):

Ramli, Azizul Azhar. “Building dynamic fuzzy regression model based on convex hull algorithm and its industrial applications.” 2016. Doctoral Dissertation, Waseda University, Japan. Accessed August 23, 2019. http://eprints.uthm.edu.my/9166/.

MLA Handbook (7^th Edition):

Ramli, Azizul Azhar. “Building dynamic fuzzy regression model based on convex hull algorithm and its industrial applications.” 2016. Web. 23 Aug 2019.

Vancouver:

Ramli AA. Building dynamic fuzzy regression model based on convex hull algorithm and its industrial applications. [Internet] [Doctoral dissertation]. Waseda University, Japan; 2016. [cited 2019 Aug 23]. Available from: http://eprints.uthm.edu.my/9166/.

Council of Science Editors:

Ramli AA. Building dynamic fuzzy regression model based on convex hull algorithm and its industrial applications. [Doctoral Dissertation]. Waseda University, Japan; 2016. Available from: http://eprints.uthm.edu.my/9166/

28. Mohd Rose, Ahmad Nazari. Efficient hybrid reduction for binary based information system in soft set theory.

Degree: PhD, Faculty of Computer Science and Information Technology, 2016, Universiti Tun Hussein Onn Malaysia

URL: http://eprints.uthm.edu.my/9213/

► In soft set literatures, issues regarding reduction techniques with regards to dataset in soft set have been discussed and analyzed. The existing reduction techniques discussed… (more)

Subjects/Keywords: QA273 Probabilities. Mathematical statistics

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Mohd Rose, A. N. (2016). Efficient hybrid reduction for binary based information system in soft set theory. (Doctoral Dissertation). Universiti Tun Hussein Onn Malaysia. Retrieved from http://eprints.uthm.edu.my/9213/

Chicago Manual of Style (16^th Edition):

Mohd Rose, Ahmad Nazari. “Efficient hybrid reduction for binary based information system in soft set theory.” 2016. Doctoral Dissertation, Universiti Tun Hussein Onn Malaysia. Accessed August 23, 2019. http://eprints.uthm.edu.my/9213/.

MLA Handbook (7^th Edition):

Mohd Rose, Ahmad Nazari. “Efficient hybrid reduction for binary based information system in soft set theory.” 2016. Web. 23 Aug 2019.

Vancouver:

Mohd Rose AN. Efficient hybrid reduction for binary based information system in soft set theory. [Internet] [Doctoral dissertation]. Universiti Tun Hussein Onn Malaysia; 2016. [cited 2019 Aug 23]. Available from: http://eprints.uthm.edu.my/9213/.

Council of Science Editors:

Mohd Rose AN. Efficient hybrid reduction for binary based information system in soft set theory. [Doctoral Dissertation]. Universiti Tun Hussein Onn Malaysia; 2016. Available from: http://eprints.uthm.edu.my/9213/

29. Othman, Muhaini. Spatial-temporal data modelling and processing for personalised decision support.

Degree: PhD, The Knowledge Engineering and Discovery Research Institute, KEDRI, 2015, Auckland University of Technology

URL: http://eprints.uthm.edu.my/9222/

► Introduction: Capturing the nature of spatio/spectro-temporal data (SSTD) is not an easy task nor is understanding the relationships between the different data dimensions such as… (more)

Subjects/Keywords: QA273 Probabilities. Mathematical statistics

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Othman, M. (2015). Spatial-temporal data modelling and processing for personalised decision support. (Doctoral Dissertation). Auckland University of Technology. Retrieved from http://eprints.uthm.edu.my/9222/

Chicago Manual of Style (16^th Edition):

Othman, Muhaini. “Spatial-temporal data modelling and processing for personalised decision support.” 2015. Doctoral Dissertation, Auckland University of Technology. Accessed August 23, 2019. http://eprints.uthm.edu.my/9222/.

MLA Handbook (7^th Edition):

Othman, Muhaini. “Spatial-temporal data modelling and processing for personalised decision support.” 2015. Web. 23 Aug 2019.

Vancouver:

Othman M. Spatial-temporal data modelling and processing for personalised decision support. [Internet] [Doctoral dissertation]. Auckland University of Technology; 2015. [cited 2019 Aug 23]. Available from: http://eprints.uthm.edu.my/9222/.

Council of Science Editors:

Othman M. Spatial-temporal data modelling and processing for personalised decision support. [Doctoral Dissertation]. Auckland University of Technology; 2015. Available from: http://eprints.uthm.edu.my/9222/

30. Isa, Noor Amira. Bottleneck-based heuristic for permutation flowshop scheduling.

Degree: Faculty of Mechanical and Manufacturing Engineering, 2017, Universiti Tun Hussein Onn Malaysia

URL: http://eprints.uthm.edu.my/9859/

► The newly heuristic is developed by introducing the bottleneck-based concept that was applied at the beginning of initial solution determination. The heuristic is known as… (more)

Subjects/Keywords: QA273 Probabilities. Mathematical statistics

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Isa, N. A. (2017). Bottleneck-based heuristic for permutation flowshop scheduling. (Masters Thesis). Universiti Tun Hussein Onn Malaysia. Retrieved from http://eprints.uthm.edu.my/9859/

Chicago Manual of Style (16^th Edition):

Isa, Noor Amira. “Bottleneck-based heuristic for permutation flowshop scheduling.” 2017. Masters Thesis, Universiti Tun Hussein Onn Malaysia. Accessed August 23, 2019. http://eprints.uthm.edu.my/9859/.

MLA Handbook (7^th Edition):

Isa, Noor Amira. “Bottleneck-based heuristic for permutation flowshop scheduling.” 2017. Web. 23 Aug 2019.

Vancouver:

Isa NA. Bottleneck-based heuristic for permutation flowshop scheduling. [Internet] [Masters thesis]. Universiti Tun Hussein Onn Malaysia; 2017. [cited 2019 Aug 23]. Available from: http://eprints.uthm.edu.my/9859/.

Council of Science Editors:

Isa NA. Bottleneck-based heuristic for permutation flowshop scheduling. [Masters Thesis]. Universiti Tun Hussein Onn Malaysia; 2017. Available from: http://eprints.uthm.edu.my/9859/

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