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- Browsing Theses and Dissertations (Statistics) by Supervisor
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Browsing Theses and Dissertations (Statistics) by Supervisor "Bekker, Andriette, 1958-"
Now showing items 1-20 of 26
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(University of Pretoria, 2017)This thesis contributes to statistical distribution theory by developing bivariate- and matrix variate distributions with their origins in the complex elliptical class. These contributions are inspired by the communications ...
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(University of Pretoria, 2010-09-22)Having just survived what is arguably the worst financial crisis in time, it is expected that the focus on regulatory capital held by financial institutions such as banks will increase significantly over the next few years. ...
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(University of Pretoria, 2021)The interest in the study and modeling of the strength within material science has continuously been of interest within engineering and the built environment, with the Weibull distribution frequently being the model of ...
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(University of Pretoria, 2011-09-23)The focus of this study is the development of a group of bimatrix variate beta distributions with bounded domain for the central and noncentral cases. They are constructed from different dependent Wishart ratios. Exact ...
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(University of Pretoria, 2014-04)The univariate and bivariate central chi-square- and F distributions have received a decent amount of attention in the literature during the past few decades; the noncentral counterparts of these distributions have been ...
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(University of Pretoria, 2021)The need for statistical tools capable of addressing high-dimensional data is ever-growing. One such tool is that of differential networks, which have become increasing popular within various branches of science. The ...
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(University of Pretoria, 2021)Buidling off a foundation of knowledge from studies into modelling wind speed, models are fitted to multimodal datasets of geological nature. Mixtures of distributions are derived with parameter updates done via ...
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(University of Pretoria, 2019-08)If a known distribution on a real line is given, it can be wrapped on the circumference of a unit circle. This research entails the study of a univariate skew-normal distribution where the skew-normal distribution is ...
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(University of Pretoria, 2017)Advances in computing has undoubtfully been one of the main catalysts in the formation of the discipline always known as Statistics. A fundamental question addressed here is whether computing facilities, such as parallel ...
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(University of Pretoria, 2017-06)Please read abstract in the document
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(University of Pretoria, 2010-12-28)In this dissertation an overview on the real representation of quaternions in distribution theory is given. The density functions of the p-variate and matrix-variate quaternion normal distributions are derived from first ...
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(University of Pretoria, 2017)The increased complexity and dimensionality of data necessitates the development of new models that can adequately model the data. Advances in computational approaches have pathed the way for consideration and implementation ...
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(University of Pretoria, 2016)This study emanates from a practical problem in the statistical process control (SPC) environment where the quality of a process is monitored. Speci cally, where the variance of a process is being assessed to be the same ...
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(University of Pretoria, 2019)A new body and tail generalisation of the normal distribution is introduced, the spliced generalised normal (SGN). A special case of the SGN, the tail-adjusted normal distribution, is further generalised with two-piece ...
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(University of Pretoria, 2022)In this thesis, we propose multivariate directional models that serve to fill the gaps in literature and aim to develop innovative theoretical modeling frameworks for contemporary applications where either certain manifolds ...
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(University of Pretoria, 2013)This study focuses on the development of a generalised multivariate beta type II distribution as well as the noncentral and bimatrix counterparts with positive domain. These models emanate from a sequential quality ...
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(University of Pretoria, 2021)The skew-normal distribution was popularised by Azzalini [4] to model skewed data. However, the skew-normal distribution is always unimodal. Kundu [24] recently presented the geometric skew-normal distribution by considering ...
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(University of Pretoria, 2020)Quantile estimation is a vital aspect of statistical analyses in a variety of fields. For example, lower quantile estimation is crucial to ensure the safety and reliability of wood-built structures. Various statistical ...
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(University of Pretoria, 2014)In this thesis different situations are considered in which the preliminary test estimator is applied and the performance of the preliminary test estimator under different proposed loss functions, namely the reflected ...
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(University of Pretoria, 2021)Maximum likelihood estimation is a powerful estimation tool that is widely used to fit models to data. In this study, the behaviour of the log-likelihood function, and the ensuing impact on the maximum likelihood estimation ...
Now showing items 1-20 of 26