Award Date

1-1-2000

Degree Type

Thesis

Degree Name

Master of Science (MS)

Department

Mathematical Sciences

First Committee Member

Ashok K. Singh

Number of Pages

147

Abstract

In environmental applications dealing with data from contaminated sites the positively skewed lognormal distribution has been the most commonly used model. The upper confidence limit (UCL) of the arithmetic mean of a lognormal population is computed by using the H-statistics. Recent concerns have arisen to the effectiveness of the H-Statistic based UCL for the mean of the lognormal distribution in instances of moderately to highly skewed data sets. In this paper the positively skewed Gamma distribution is considered as an alternative to the lognormal distribution and is shown to produce more reasonable UCL's for the mean.

Keywords

Alternative; Applications; Distribution; Environmental; Gamma; Lognormal

Controlled Subject

Statistics; Environmental sciences

File Format

pdf

File Size

3676.16 KB

Degree Grantor

University of Nevada, Las Vegas

Language

English

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