{"id":{"repo_id":"unlv","oai_identifier":"oai:oasis.library.unlv.edu:rtds-2205"},"canonical_url":"https://search.dev.ndltd.org/etd/unlv/oai:oasis.library.unlv.edu:rtds-2205","repository":{"repo_id":"unlv","name":"University of Nevada - Las Vegas","base_url":"https://oasis.library.unlv.edu/do/oai/"},"display":{"title":"The gamma distribution as an alternative to the lognormal distribution in environmental applications","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.","abstract_html":"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&#x27;s for the mean.","abstract_has_math":false,"creators":["Iaci, Ross Joseph"],"institution":"University of Nevada, Las Vegas","degree_name":"Master of Science (MS)","degree_level":"Thesis","degree_discipline":"Mathematical Sciences","degree_department":null,"school":null,"contributors":["Ashok K. Singh"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2000,"date_issued":"2000-01-01T08:00:00Z","date_published":"2000-01-01T08:00:00Z","updated_at":"2026-07-24T05:25:18Z","subjects":[],"languages":["English"],"rights":["IN COPYRIGHT. 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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."]},{"key":"dc:format","label":"Dc Format","values":["pdf"]},{"key":"dc:title","label":"Title","values":["The gamma distribution as an alternative to the lognormal distribution in environmental applications"]}]}],"canonical_facts":{"dc:contributor":["Ashok K. Singh"],"dc:creator":["Iaci, Ross Joseph"],"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. 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