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Browsing Statistics by Type "Thesis"
Now showing items 1-20 of 29
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(University of Pretoria, 2022)The Dirichlet distribution is a cornerstone probabilistic consideration when working with data on the unit simplex. This thesis studies advances of several Dirichlet generalizations such as the Dirichlet generator, noncentral ...
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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, 2020)This thesis develops a skewing methodology for the formulation of two-piece families of distri- butions that can be defined through their cumulative distribution functions (CDFs), probability density functions (PDFs) or ...
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(University of Pretoria, 2024)The advancement of digitisation in various scientific disciplines has generated data with numerous variables. Gaussian graphical models (GGMs) offer a convenient framework for analysing and interpreting the conditional ...
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(University of Pretoria, 2007-12-20)The theory of ordinary factor analysis and its application by means of software packages do not make provision for data sampled from populations with hierarchical structures. Since data are often obtained from such populations ...
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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, 2023-11-06)This research contributes to the advancement of flexible and interpretable models within distribution theory, which is a fundamental aspect of numerous academic disciplines. This study investigates and presents the ...
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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, 2013)Distribution-free (nonparametric) control charts can be useful to the quality practitioner when the underlying distribution is not known. The term nonparametric is not intended to imply that there are no parameters ...
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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, 2024-03)This thesis presents a comprehensive exploration of level-sets applied to various stages of image analysis, aiming to enhance understanding, modelling, and interpretability of image data. The research focuses on three ...
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(University of Pretoria, 2024-04-30)Gaussian mixtures of non-parametric regressions (GMNRs) are a flexible class of Gaussian mixtures of regressions (GMRs). These models assume that some or all of the parameters of GMRs are non-parametric functions of the ...
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Evaluating technology-based interventions to enhance the learning of first year Statistics students (University of Pretoria, 2021)This retrospective study focuses on the unique contribution of the various technology-based interventions to improve the learning experience and performance of first-year statistics students. Eight consecutive cohorts from ...
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(University of Pretoria, 2024-07-22)Technological advances have integrated artificial intelligence (AI) into various scientific fields, necessitating understanding AI-derived decisions. The field of explainable artificial intelligence (XAI) has emerged to ...
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(University of Pretoria, 2019)In this study, two classes of multivariate distributions are proposed as extensions of the well known univariate class of beta-generated distributions. This extension from the univariate to the multivari- ate domain ...
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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, 2020)Most topic models are constructed under the assumption that documents follow a multinomial distribution. The Poisson distribution is an alternative distribution to describe the probability of count data. For topic modelling, ...
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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, 2019)A generic methodology for probabilistic natural hazard assessment is presented. Three area-characteristic recurrence parameters are defined by combining a Poisson process with the relevant natural-hazard-frequency–event-size ...
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(University of Pretoria, 2013)This thesis develops a methodology for the construction of generalized families of probability distributions in the quantile statistical universe, that is, distributions specified in terms of their quantile functions. ...
Now showing items 1-20 of 29