## PhD's van die Departement sedert 2001

#### 2018

#### Regularised Gaussian belief propagation

#### 2017

#### A statistical analysis of student performance for the 2000-2013 period at the Copperbelt University in Zambia

#### 2016

Statistical inference of the multiple regression analysis of complex survey data

Luus, Retha (Stellenbosch : Stellenbosch University, 2016-12)

The quality of the inferences and results put forward from any statistical analysis is directly dependent on the correct method used at the analysis stage. Most survey data analyzed in practice originate from stratied multistage cluster samples or complex samples ...

#### 2015

Multivariate statistical process evaluation and monitoring for complex chemical processes #### 2014

The identification and application of common principal components #### 2013

Multi-label feature selection with application to musical instrument recognition

Sandrock, Trudie (Stellenbosch : Stellenbosch University, 2013-12)

An area of data mining and statistics that is currently receiving considerable attention is the field of multi-label learning. Problems in this field are concerned with scenarios where each data case can ...

#### 2012

Bayesian approaches of Markov models embedded in unbalanced panel data

Muller, Christoffel Joseph Brand (Stellenbosch : Stellenbosch University, 2012-12)

Multi-state models are used in this dissertation to model panel data, also known as longitudinal or cross-sectional time-series data. These are data sets which include units that are observed across two ...

#### 2011

Statistical inference for inequality measures based on semi-parametric estimators

Kpanzou, Tchilabalo Abozou (Stellenbosch : Stellenbosch University, 2011-12)

Measures of inequality, also used as measures of concentration or diversity, are very popular in economics and especially in measuring the inequality in income or wealth within a population and ...

#### 2010

Improved estimation procedures for a positive extreme value index

Berning, Thomas Louw (Stellenbosch : University of Stellenbosch, 2010-12)

In extreme value theory (EVT) the emphasis is on extreme (very small or very large) observations. The crucial parameter when making inferences about extreme quantiles, is called the extreme value index ...

#### 2008

Lamont, Morne Michael Connell (Stellenbosch : Stellenbosch University, 2008-12)

Kernel Fisher discriminant analysis (KFDA) is a kernel-based technique that can be used to classify observations of unknown origin into predefined groups. Basically, KFDA can be viewed as a non-linear extension of Fisher's ...

Variable selection for kernel methods with application to binary classification

Oosthuizen, Surette (Stellenbosch : University of Stellenbosch, 2008-03)

The problem of variable selection in binary kernel classification is addressed in this thesis. Kernel methods are fairly recent additions to the statistical toolbox, having originated approximately two decades ago in ...

A framework for estimating risk

Kroon, Rodney Stephen (Stellenbosch : Stellenbosch University, 2008-03)

We consider the problem of model assessment by risk estimation. Various approaches to risk estimation are considered in a uni ed framework. This a discussion of various complexity dimensions and approaches to obtaining bounds ...

#### 2007

Some statistical aspects of LULU smoothers

Jankowitz, Maria Dorothea (Stellenbosch : University of Stellenbosch, 2007-12)

The smoothing of time series plays a very important role in various practical applications. Estimating the signal and removing the noise is the main goal of smoothing. Traditionally linear smoothers were used, but nonlinear ...

Aspects of model development using regression quantiles and elemental regressions

Ranganai, Edmore (Stellenbosch : Stellenbosch University, 2007-03)

It is well known that ordinary least squares (OLS) procedures are sensitive to deviations from the classical Gaussian assumptions (outliers) as well as data aberrations in the design space. The two major ...

2003

Influential data cases when the C-p criterion is used for variable selection in multiple linear regression #### 2002

Time series forecasting and model selection in singular spectrum analysis

De Klerk, Jacques (Stellenbosch : Stellenbosch University, 2002-11)

Singular spectrum analysis (SSA) originated in the field of Physics. The technique is non-parametric by nature and inter alia finds application in atmospheric sciences, signal processing and recently ...

Edgeworth-corrected small-sample confidence intervals for ratio parameters in linear regression

Binyavanga, Kamanzi-wa (Stellenbosch : Stellenbosch University, 2002-03)

In this thesis we construct a central confidence interval for a smooth scalar non-linear function of parameter vector f3 in a single general linear regression model Y = X f3 + c. We do this by ...

2001

Extensions of biplot methodology to discriminant analysis with applications of non-parametric principal components