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Aspects of some exotic options
(Stellenbosch : University of Stellenbosch, 2007-12)
The use of options on various stock markets over the world has introduced a unique opportunity for investors to hedge, speculate, create synthetic financial instruments and reduce funding and other costs in their trading ...
Aspects of copulas and goodness-of-fit
(Stellenbosch : Stellenbosch University, 2008-12)
The goodness-of- t of a statistical model describes how well it ts a set of observations. Measures
of goodness-of- t typically summarize the discrepancy between observed values and the values
expected under the model ...
Variable selection in multiple linear regression : the influence of individual cases
(Operations Research Society of South Africa, 2007)
ENGLISH SUMMARY : The influence of individual cases in a data set is studied when variable selection is applied in
multiple linear regression. Two different influence measures, based on the Cp criterion and Akaike’s ...
Some statistical aspects of LULU smoothers
(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 ...
Obsessive-compulsive disorder and trichotillomania : a phenomenological comparison
(BioMed Central, 2005-01)
Background: Similarities between obsessive-compulsive disorder (OCD) and trichotillomania (TTM) have been widely recognized. Nevertheless, there is evidence of important differences between these two disorders. Some authors ...
Aspects of model development using regression quantiles and elemental regressions
(Stellenbosch : Stellenbosch University, 2007-03)
ENGLISH ABSTRACT: 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 ...
Influential data cases when the C-p criterion is used for variable selection in multiple linear regression
(Stellenbosch : Stellenbosch University, 2003)
ENGLISH ABSTRACT: In this dissertation we study the influence of data cases when the Cp criterion of Mallows (1973)
is used for variable selection in multiple linear regression. The influence is investigated in
terms ...
South African security market imperfections
(Stellenbosch : University of Stellenbosch, 2006-03)
In recent times many theories have surfaced posing challenging threats to the Efficient Market Hypothesis. We are entering an exciting era of financial economics fueled by the urge to have a better understanding of the ...
Edgeworth-corrected small-sample confidence intervals for ratio parameters in linear regression
(Stellenbosch : Stellenbosch University, 2002-03)
ENGLISH ABSTRACT: 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 ...
A framework for estimating risk
(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 ...