The gamma distribution as an alternative to the lognormal distribution in environmental applications
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
File Size
3676.16 KB
Degree Grantor
University of Nevada, Las Vegas
Language
English
Permissions
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Repository Citation
Iaci, Ross Joseph, "The gamma distribution as an alternative to the lognormal distribution in environmental applications" (2000). UNLV Retrospective Theses & Dissertations. 1206.
http://dx.doi.org/10.25669/z0ze-k42y
Rights
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