Browsing Theses and Dissertations (Statistics) by Issue Date

Browsing Theses and Dissertations (Statistics) by Issue Date

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  • Polygon detection in images 
    Van Niekerk, Johan Magnus (University of Pretoria, 2015)
    A combination of image processing algorithms can be used to detect and extract certain objects from images. Image noise may obscure the objects in the images and must rst be removed using image denoising and smoothing ...
  • Topic Modelling for Short Text 
    Mazarura, Jocelyn Rangarirai (University of Pretoria, 2015)
    Over the past few years, our increased ability to store large amounts of data, coupled with the increasing accessibility of the internet, has created massive stores of digital information. Consequently, it has become ...
  • An overview and assessment of different approaches to poverty measurement in South Africa 
    Letsoalo,Phineas Masete (University of Pretoria, 2015)
    Measures of poverty are usually estimated using data from national household surveys. The sample design of official household surveys is typically complex, involving multi-stage stratified cluster sampling. Complex sampling ...
  • Alternative methods to parametric significance testing in linear regression and ANOVA 
    Makhanya, Nhlanhla Well-Beloved (University of Pretoria, 2015)
    The aim of the study was to survey permutation tests, bootstrapping and jackknife methods and their application to significance testing of regression coefficients in linear regression analysis. A Monte Carlo simulation ...
  • Accelerated testing with application in finance 
    Oppel, Anel (University of Pretoria, 2016)
    The event of a default for low-default portfolios, such as sovereign debt or banks, have received much attention as a result of the increasing instabilities in financial markets. The lack of sufficient default information ...
  • Overview of runs-type signalling rules 
    Celliers, Rauldo Eybers (University of Pretoria, 2016)
    Runs-type signalling rules and sensitizing rules (Page (1955)) were originally introduced to detect non-random patterns in the process being monitored (Montgomery (2013)). Further development led to runs-type signalling ...
  • Distributional properties of ratios of gamma random variables in the context of quality control 
    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 ...
  • Dependence structures in multidimensional arrays 
    Lau, Kwok-Ho (University of Pretoria, 2016)
    In the process of data acquisition the information obtained are more than often contaminated by noise. To purify the data smoothers are designed to remove the noise. The LULU operators are such smoothers, more speci ...
  • The analysis of a grouped response variable using maximum likelihood estimation under constraints 
    Hendriks, Johannes Jurgens (University of Pretoria, 2016)
    No abstract
  • Product of independent generalised gamma random variables 
    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 ...
  • 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 ...
  • On the use of Lèvy processes in option pricing 
    Kwinje, Clemence Rangarirai (University of Pretoria, 2017)
    In this dissertation, we t various nancial models to observed stock prices and we calculate the option prices under each of these models. All of the models considered are based on Lévy processes, which are processes with ...
  • A spatial variant of the Gaussian mixture of regressions model 
    Delport, Marion (University of Pretoria, 2017)
    In this study the nite mixture of multivariate Gaussian distributions is discussed in detail including the derivation of maximum likelihood estimators, a discussion on identi ability of mixture components as well as a ...
  • Contemplating Statistics : estimation and regression according to arc lengths 
    Loots, Mattheus Theodor (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 ...
  • Bayesian kernel density estimation 
    Rademeyer, Estian (University of Pretoria, 2017)
    This dissertation investigates the performance of two-class classi cation credit scoring data sets with low default ratios. The standard two-class parametric Gaussian and naive Bayes (NB), as well as the non-parametric ...
  • Describing heterogeneity in spatial point processes 
    Kraamwinkel, Christine (University of Pretoria, 2017)
    In this mini-dissertation we briefly describe the context and development of spatial statistics, spatial sampling and point patterns. Thereafter spatial homogeneity is considered in detail. Before selecting an appropriate ...
  • Big data : a compressed sensing approach 
    Janse van Rensburg, Charl (University of Pretoria, 2017)
    In recent times Big Data has been talked about in many areas, ranging from information technology, to government and healthcare, and to business. Big Data is changing the world we live in in many respects, especially as ...
  • Bayesian object classification in nanoimages 
    Haywood, Andries Stefan (University of Pretoria, 2017)
    In this mini-dissertation the importance of having an automated object classification procedure for classifying nanoparticles in nanoscale images (or referred to as nanoimages in this mini-dissertation) is discussed, and ...
  • Advances in statistical distribution theory inspired by communications systems 
    Ferreira, Johannes T. (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 ...
  • Developments in Wishart ensemble and Bayesian application 
    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 ...