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Theses and Dissertations (Statistics): Recent submissions

  • 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 ...
  • Alternative parametric considerations for direction and distance when modelling animal movement 
    Ramkilawon, Gopika Devi (University of Pretoria, 2022-02-06)
    Animal movement is a fundamental part of ecology, and aids in understanding and modelling of social responsibility phenomena including population and community structure dynamics. Movement of animals is often characterised ...
  • Robust mixture regression using mean-shift penalisation 
    Wessels, Anika (University of Pretoria, 2021)
    The purpose of finite mixture regression (FMR) is to model the relationship between a response and feature variables in the presence of latent groups in the population. The different regression structures are quantified ...
  • Clustering time-course data using P-splines and mixed effects mixture models 
    Bredenkamp, Deidre (University of Pretoria, 2022)
    In the field of biology, gene expressions are evaluated over time to study complicated biological processes and genetic supervisory networks. Because the process is continuous, time-course gene-expression data may ...
  • Modelling spatial dependence using extensions of the Poisson distribution 
    Cowley, Charl Arthur Henry (University of Pretoria, 2021)
    When modelling univariate count data, the Poisson distribution is a popular choice that is routinely studied by academics and applied by practitioners. It does not, however, allow for the modelling of dependencies found ...
  • Geometric skew-Cauchy distribution as an alternative to the skew-normal and geometric skew-normal distributions 
    Heaney, Xander (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 ...
  • Practical likelihood-based inference for the univariate generalized hyperbolic distribution 
    Van Wyk, Arnold (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 ...
  • Computational aspects of differential networks 
    Marques Salgado, Ricardo Daniel (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 ...
  • 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 ...