Award Date

1-1-2004

Degree Type

Thesis

Degree Name

Master of Science (MS)

Department

Mathematical Sciences

First Committee Member

Ashok Singh

Number of Pages

69

Abstract

The main objective of the present work is to study and compare the performance of the various bootstrap procedures (e.g., standard bootstrap method, bootstrap-t method, simple percentile bootstrap method, Hall's bootstrap method, and bias-corrected accelerated (BCA) bootstrap method (Efron and Tibshirani, 1993)) which may be used to compute a 95% UCL of the population mean based upon skewed distributions (e.g., gamma and lognormal); Monte Carlo simulation experiments have been performed to compare the performances of these methods. The comparison of the various methods has been evaluated in terms of the coverage probabilities achieved by the various 95% UCLs. Based upon this study, conclusions have been derived about the computation of a 95% UCL of the mean for skewed data distributions (lognormal and gamma) originating from the various environmental applications.

Keywords

Bootstrap; Comparison; Distribution; Gamma; Lognormal; Performance; Procedures; Various

Controlled Subject

Mathematics

File Format

pdf

File Size

2549.76 KB

Degree Grantor

University of Nevada, Las Vegas

Language

English

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Rights

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