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A new method for transforming data to normality with application to density estimation
(North-West University, 2004)
One of the main objectives of this dissertation is to derive efficient non-parametric estimators for an unknown density f . It is well known that the ordinary kernel density estimator has, despite of several good properties, ...
A new distribution function estimator based on a nonparametric transformation of the data with applications
(North-West University, 2004)
The purpose of this study is to investigate the properties of a bias reduction kernel estimator of a
distribution function and to compare it with existing estimation techniques in the bootstrap. The
procedure which is ...
Data dependent choice of the tuning parameter for the modified bootstrap
(North-West University, 2004)
It is the purpose of this study to investigate a procedure for estimating the tuning parameter, m, in the modified bootstrap (also known as the m-out-of-n bootstrap, the moon bootstrap or the m/n bootstrap). The procedure ...