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University of Nevada, Las Vegas

The gamma distribution as an alternative to the lognormal distribution in environmental applications

Abstract

dc:description.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.

Degree

thesis:*
Name thesis:degree_name
Master of Science (MS)
Level thesis:degree_level
Thesis
Discipline thesis:degree_discipline
Mathematical Sciences
Grantor dc:publisher
University of Nevada, Las Vegas
Year
2000

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Iaci, Ross Joseph
Contributors dc:contributor
  • Ashok K. Singh

Rights

dc:rights
Statement dc:rights
  • IN COPYRIGHT. For more information about this rights statement, please visit http://rightsstatements.org/vocab/InC/1.0/
Language dc:language
English

Identifiers

dc:identifier.*
OAI identifier oai:identifier
oai:oasis.library.unlv.edu:rtds-2205

Chain of custody

source
Harvested from
University of Nevada - Las Vegas
Base URL
oasis.library.unlv.edu/do/oai/
Last updated
2026-07-24
Source record
OAI-PMH GetRecord
related terms
citation

Iaci, Ross Joseph. The gamma distribution as an alternative to the lognormal distribution in environmental applications. Thesis thesis, University of Nevada, Las Vegas, 2000. https://doi.org/10.25669/z0ze-k42y