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Theses and Dissertations (Statistics)
Recent Submissions
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Derks, Iena Petronella
(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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Leshilo, Ramadimetje Lethabo
(University of Pretoria, 2024-07)
Compositional datasets consist of observations that are proportional and are subject to non-negativity and unit-sum constraints. These datasets arise naturally in a multiplicity of fields such as agriculture, archaeology, ...
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Skhosana, Sphiwe Bonakele
(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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Stander, René
(University of Pretoria, 2023-11-27)
Being able to identify areas with potential risk of becoming a hotspot of disease cases is important for decision makers. This is especially true in the case such as the recent COVID-19 pandemic where it was needed to ...
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Stander, Jean-Pierre
(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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Thiede, Renate Nicole
(University of Pretoria, 2024-02-13)
Target 9.1 of the United Nations Sustainable Development Goals specifies the need for affordable, equitable access for all. In South Africa, where most travel occurs via the road network, apartheid policies designed the ...
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Jafta, Papama Hlumela Gandhi
(University of Pretoria, 2023-12-07)
In the era of social media, the analysis of Twitter data has become increasingly important for understanding the dynamics of online discourse. This research introduces a novel approach for tracking the spatial and temporal ...
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Vorster, Johannes S.
(University of Pretoria, 2023-11-17)
In cricket, the traditional batting average is the most common measure of a cricket player’s batting performance. However, the batting average can easily be inflated by a high number of not-out innings. Therefore, in this ...
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Sanqela, Lizo
(University of Pretoria, 2023-12-07)
Extreme value theory (EVT) encompasses statistical tools for modelling extreme events, which are defined in the peaks-over-threshold methodology as excesses over a certain high threshold. The estimation of this threshold ...
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Frances, Motala Charles
(University of Pretoria, 2024-02-07)
Multivariate analysis and time series modelling are essential data analysis techniques that provide a comprehensive approach for understanding complex datasets and supporting data-driven decision-making. Multivariate ...
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Wagener, Matthias
(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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Smith, Jarod Mark
(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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Coetzee, Evert Johan
(University of Pretoria, 2017-05)
Chapter 1 of this mini-dissertation gives an introduction to Statistical Process Control (SPC) and
provides some background on the Shewhart, CUSUM and the EWMA control charts. The bootstrap
by [9] Efron (1979) is discussed ...
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Roux, Hannaline
(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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Smith, Jarod
(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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Wagener, Matthias
(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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Mijburgh, Philip Albert
(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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Van Niekerk, Janet
(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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Bilankulu, Vusi Raphael
(University of Pretoria, 2016-10)
The generalised gamma distribution has received much attention due to its exibility and
also for having some well-known distributions as special cases. This study originates from
a statistic de ned as the ratio of ...
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Nagar, Priyanka
(University of Pretoria, 2017-06)
Please read abstract in the document
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