Browsing Theses and Dissertations (Statistics) by Title

Browsing Theses and Dissertations (Statistics) by Title

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  • 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 ...
  • 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 ...
  • Robust parameter estimation of finite mixture models with self-paced learning 
    Kleynhans, Andre Ruben (University of Pretoria, 2022)
    Self-paced learning (SPL) is a training strategy that mitigates the impact of non-typical observations. SPL introduces observations in a meaningful order by considering the likelihood for each observation. The proposed ...
  • Semi-parametric mixtures of quantile regressions 
    Gouws, Divan (University of Pretoria, 2023)
    Mixtures of quantile regressions are explored through the lens of a kernel density based EM-type algorithm and a newly proposed CEM-type algorithm. This allows the simultaneous clustering and modeling of conditional ...
  • Skew Laplace candidates emanating from scale mixtures for insightful computational modelling 
    Otto, Arnoldus (University of Pretoria, 2023)
    The search for appropriate and flexible models for describing complex data sets, often with departure from normality, remains a main interest in various computational research fields. In this study, the focus is on developing ...
  • Skew-normal distributions : advances in theory and applications 
    Rowland, Brett William (University of Pretoria, 2017-08)
    The normal distribution is popular in many statistical contexts. However, due to its symmetry and tail behavior it may not necessarily be the best choice to use in many real world applications. In order to alleviate the ...
  • 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 ...
  • 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 spatial model with vaccinations for COVID-19 in South Africa 
    Dresselhaus, Claudia Josephina (University of Pretoria, 2023)
    Rarely has the world undertaken a public health effort equal in scale or scope to the one it faced in response to the COVID-19 pandemic. Countries around the world implemented government interventions such as lockdowns and ...
  • A spatial sampling scheme for a road network 
    Reynolds, Hayley (University of Pretoria, 2017)
    Rabies has been reported in Tanzania, mainly in the southern highland regions, since 1954. To date, rabies is endemic in all districts in Tanzania and efforts are being made to contain the disease. It was determined that ...
  • Statistical accuracy of an extraction algorithm for linear image objects 
    Thiede, Renate Nicole (University of Pretoria, 2019)
    Informal unpaved roads in developing countries arise naturally through human movement and informal housing setups. These roads are not authorised nor maintained by council, nor recorded in official databases or online maps. ...
  • Statistical analysis of grouped data 
    Crafford, Gretel (University of Pretoria, 2007)
    The maximum likelihood (ML) estimation procedure of Matthews and Crowther (1995: A maximum likelihood estimation procedure when modelling in terms of constraints. South African Statistical Journal, 29, 29-51) is utilized ...
  • Statistical distributions in general insurance stochastic processes 
    Steenkamp, Jan Hendrik Harm (University of Pretoria, 2014)
    A general insurance risk model consists of in initial reserve, the premiums collected, the return on investment of these premiums, the claims frequency and the claims sizes. Except for the initial reserve, these components ...
  • Statistical properties of forward selection regression estimators 
    Thiebaut, Nicolene Magrietha (University of Pretoria, 2011)
    In practice, when one has many candidate variables as explanatory variables in multiple regression, there is always the possibility that variables that are important determinants of the response variable might be omitted ...
  • Statistical properties of forward selection regression estimators 
    Thiebaut, Nicolene Magrietha (University of Pretoria, 2011-11-18)
    Please read the abstract in the dissertation.
  • STK /WST 795 Research Reports 
    STK 795 Students, WST 795 Students (University of Pretoria, 2015)
    These documents contain the honours research reports for each year for the Department of Statistics.
  • Stochastic analysis of AIDS epidemiology 
    Labeodan, Moremi Morire OreOluwapo (University of Pretoria, 2009-10-29)
    In this thesis, some issues about the human immunodeficiency virus (HIV) and acquired immunodeficiency syndrome (AIDS) have been addressed by concentrating on the stochastic modelling of the dynamics of the viruses. The ...
  • Subjective Bayesian analysis of elliptical models 
    Van Niekerk, Janet (University of Pretoria, 2012)
    The problem of estimation has been widely investigated with all different kinds of assumptions. This study focusses on the subjective Bayesian estimation of a location vector and characteristic matrix for the univariate ...
  • The theory and application of bootstrap control charts for statistical process control 
    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 ...
  • Theory and applications of modern statistical quality control 
    Human, Schalk William (University of Pretoria, 2009-08-12)
    Please read the abstract in the section front of this document