Doctoral Degrees (Statistics)
Recent Submissions
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Bayesian spatial modeling of malnutrition and mortality among under-five children in sub-Saharan Africa.
(2019)The aim of this thesis is to develop and extend Bayesian statistical models in the area of spatial modeling and apply them to child health outcomes, with particular focus on childhood malnutrition and mortality among ... -
Bayesian modelling of non–gaussian time series of serve acute respiratory illness.
(2019)Respiratory syncytial virus (RSV), Human metapneumovirus (HMPV) and Influenza are some of the major causes of acute lower respiratory tract infections (ALRTI) in children. Children younger than 1 year are the most ... -
An assessment of modified systematic sampling designs in the presence of linear trend.
(2017)Sampling is used to estimate population parameters, as it is usually impossible to study a whole population, due to time and budget restrictions. There are various sampling designs to address this issue and this thesis ... -
Adjusting the effect of integrating antiretroviral therapy and tuberculosis treatment on mortality for non-compliance : an instrumental variables analysis using a time-varying exposure.
(2018)In South Africa and elsewhere, research has shown that the integration of antiretroviral therapy (ART) and tuberculosis (TB) treatment saves lives. The randomised controlled trials (RCTs) which provided this compelling ... -
On the geometry of locally conformal almost cosymplectic manifolds and 2-order Lagrange space.
(2017)Abstract available in pdf. -
A statistical analysis of dissolving timber pulp properties using linear mixed models.
(2017)The main focus of the study was to understand the behaviour of seven timber genotypes based on seven chemical properties observed during the chemical pulping process with the prime objective of developing methods of grouping ... -
Statistical approaches for handling longitudinal and cross sectional discrete data with missing values focusing on multiple imputation and probability weighting.
(2018)Abstract available in PDF file. -
Special topics in probabilistic exchangeability and its applications.
(2017)This thesis evolves around a probabilistic concept called exchangeability and its generalised forms. It is aimed at exploring connections between exchangeability and other sub-areas in mathematical statistics. These ... -
Bayesian generalized linear mixed modeling of breast cancer data in Nigeria.
(2017)Breast cancer is the world’s most prevalent type of cancer among women. Statistics indicate that breast cancer alone accounted for 37% out of all the cases of cancer diagnosed in Nigeria in 2012. Data used in this study ... -
The management of missing categorical data : comparison of multiple imputation and subset correspondence analysis.
(2015)Missing data is a common problem in research and the manner in which this ‘missingness’ is managed, is crucial to the validity of analysis outcomes. This study illustrates the use of two diverse methods to handle, in ... -
Bayesian spatial joint and spatial-temporal disease modeling with application to HIV, HSV-2 and Malaria using case studies from Kenya and Angola respectively.
(2017)In this thesis we develop and extend existing statistical models for spatial disease modeling and apply them to HIV, HSV-2 and malaria data. The availability of geo-referenced data and free software has seen many disease ... -
Flexible statistical modelling in food insecurity risk assessment.
(2015)Food insecurity has remained a persistent problem in Sub-Saharan Africa. Conflict and other protracted crisis have rendered a significant proportion of Africa’s populations to suffer the risk of food insecurity, as their ... -
Statistical methods for handling incomplete longitudinal data with emphasis on discrete outcomes with application.
(2017)In longitudinal studies, measurements are taken repeatedly over time on the same ex- perimental unit. These measurements are thus correlated. The variances in repeated measures change with respect to time. Therefore, the ... -
A frequentist and a Bayesian approach to estimating HIV prevalence accounting for non-response using population-based survey data.
(2016)Enhanced and novel frequentist and Bayesian approaches to estimating disease measures such as HIV prevalence utilizing the recent advances in statistical computing software are explored and applied making use of ... -
Measuring poverty and child malnutrition with their determinants from household survey data.
(2016)The eradication of poverty and malnutrition is the main objective of most societies and policy makers. But in most cases, developing a perfect or accurate poverty and malnutrition assessment tool to target the poor ... -
Statistical methods to evaluate disease outcome diagnostic accuracy of multiple biomarkers with application to HIV and TB research.
(2015)One challenge in clinical medicine is that of the correct diagnosis of disease. Medical researchers invest considerable time and effort to improving accurate disease diagnosis and following from this diagnostic tests are ... -
Application of mixed model and spatial analysis methods in multi-environmental and agricultural field trials.
(2015)Agricultural experimentation involves selection of experimental materials, selection of experimental units, planning of experiments, and collection of relevant information, analysis and interpretation of the results. An ... -
Numerical study of convective fluid flow in porous and non-porous media.
(2015)Abstract available in PDF file. -
Statistical distributions and modelling of GPS-Telemetry elephant movement data including the effect of covariates.
In this thesis, I investigate the application of various statistical methods towards analysing GPS tracking data collected using GPS collars placed on large mammals in Kruger National Park, South Africa. Animal movement ... -
A perspective on incomplete data in longitudinal multi-arm clinical trials, with emphasis on pattern-mixture-model based methodology.
(2014)Missing data are common in longitudinal clinical trials. Rubin described three different missing data mechanisms based on the level of dependence between the missing data process and the measurement process. These are ...
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