• Quantile-based generalized logistic distribution 

  Omachar, Brenda V. (University of Pretoria, 2014)

  This dissertation proposes the development of a new quantile-based generalized logistic distribution GLDQB, by using the quantile function of the generalized logistic distribution (GLO) as the basic building block. This ...
• A mixed model approach to conjoint analysis 

  Cronje, Tanita (University of Pretoria, 2014-05)

  In this decision-driven era, it has become vital for modelers to efficiently model consumer choices and preferences (from a marketing perspective for instance). Conjoint analysis is a known method which has been used to ...
• The compounding method for finding bivariate noncentral distributions 

  Ferreira, Johannes Theodorus (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 ...
• Data Compression and Quantization 

  Du Toit, Benjamin David (University of Pretoria, 2014)

  Data Compression Due to limitations in data storage and bandwidth, data of all types has often required compression. This need has spawned many different methods of compressing data. In certain situations the fidelity of ...
• Some contributions to joint monitoring of mean and variance of normal populations 

  Diko, Mandla Doctor (University of Pretoria, 2014)

  In Chapter 1, we give a brief introduction to statistical process control (SPC) and provide definitions as well as background information regarding the research conducted in this mini-dissertation. This will aid in ...
• Adaboost and its application using classification trees 

  Vithal, Nishay (University of Pretoria, 2013)

  This mini-dissertation seeks to provide the reader with an understanding of one of the most popular boosting methods in use today called Adaboost and its first extension Adaboost.M1. Boosting, as the name suggests, is an ...
• Customer Value Management Using the Cox Additive Regression Model 

  van Wyk de Vries, Jan (University of Pretoria, 2013)

  The Cox-Proportional Hazards model is introduced as a potential tool to understand customer behavior relating to churn or disconnections in the telecommunications space. An overview of Survival Analysis is provided along ...
• Contributions to control charts for attributes data 

  Shongwe, Sandile Charles (University of Pretoria, 2014)

  No abstract
• Modifying copulas for improved dependence modelling 

  Le Roux, Colette (University of Pretoria, 2020)

  Copulas allow a joint probability distribution to be decomposed such that the marginals inform us about how the data were generated, separately from the copula which fully captures the dependency structure between the ...
• Spatial dependency between a linear network and a point pattern 

  Kunene, Thembinkosi (University of Pretoria, 2020)

  In this mini-dissertation we discuss the spatial relationship between point processes and a linear network. As a starting point, we discuss basic spatial point processes and tests for first-order homogeneity. Following that, ...
• A Gamma-Poisson topic model for short text 

  Mazarura, Jocelyn Rangarirai (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, ...
• Joint modeling of longitudinal and time to event data with application to tuberculosis research 

  Nigrini, Sharday (University of Pretoria, 2021)

  Due to tuberculosis (TB) being one of the top ten diseases in Africa with the highest mortality rate, a crucial objective is to find the appropriate medication to cure patients and prevent people from contracting the ...
• Bayesian inference of lower percentiles within strength modeling 

  Van Zyl, Christine Elizabeth (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 ...
• Computational aspects of hierarchical mixture models for geological data 

  Laidlaw, Michaela (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 ...
• Asymmetric generalizations of symmetric univariate probability distributions obtained through quantile splicing 

  Mac'Oduol, Brenda Vuguza (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 ...
• The quantile-based generalised Rayleigh distribution 

  Wragg, Trystan (University of Pretoria, 2020)

  The Rayleigh distribution is a special case of different families of distributions, one of these being the Weibull distribution. This mini-dissertation considers the development of a new distributional family, the ...
• A generic similarity test for spatial data 

  Kirsten, René (University of Pretoria, 2020)

  Two spatial data sets are considered to be similar if they originate from the same stochastic process in terms of their spatial structure. Many tests have been developed over recent years to test the similarity of certain ...
• Modelling of highly skewed longitudinal count data based on the discrete Weibull distribution 

  Nel, Helene Mari (University of Pretoria, 2021)

  Longitudinal data refer to multiple observations collected on the same subject (or unit) over time. Zero-inflated data (containing many zeros) frequently occur, resulting in overdispersion in count data. Regression models ...
• Multiscale image representation in deep learning 

  Stander, Jean-Pierre (University of Pretoria, 2020)

  Deep learning is a very popular field of research which can input a variety of data types [1, 16, 30]. It is a subfield of machine learning consisting of mostly neural networks. A challenge which is very commonly met in ...
• Construction and parameter estimation of wrapped normal models 

  Roux, Hannaline (University of Pretoria, 2019)

  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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