A new class of weighted generalized gamma distribution and related distributions are presented. Theoretical properties of the generalized gamma model, weighted generalized gamma distribution including the hazard function, reverse hazard function, moments, coefficient of variation, coefficient of skewness, coefficient of kurtosis, Fisher information and entropy measures are derived. Estimation of the parameters of the weighted generalized gamma distribution via maximum likelihood estimation and method of moment estimation techniques are presented, as well as a test for the detection of length-biasedness in the generalized gamma model. Also presented are some useful transformations of the weighted generalized gamma distributed random variable.
","abstract_html":"<p>A new class of weighted generalized gamma distribution and related distributions are presented. Theoretical properties of the generalized gamma model, weighted generalized gamma distribution including the hazard function, reverse hazard function, moments, coefficient of variation, coefficient of skewness, coefficient of kurtosis, Fisher information and entropy measures are derived. Estimation of the parameters of the weighted generalized gamma distribution via maximum likelihood estimation and method of moment estimation techniques are presented, as well as a test for the detection of length-biasedness in the generalized gamma model. Also presented are some useful transformations of the weighted generalized gamma distributed random variable.</p>","abstract_has_math":false,"creators":["Priyadarshani, Hewa Anuradha"],"institution":null,"degree_name":"Master of Science in Mathematics (M.S.)","degree_level":"Thesis (restricted to Georgia Southern)","degree_discipline":"Department of Mathematical Sciences","degree_department":null,"school":null,"contributors":["Charles Champ","Hani Samawi","n/a"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2011,"date_issued":"2011-01-01T08:00:00Z","date_published":"2011-01-01T08:00:00Z","updated_at":"2026-07-24T02:27:19Z","subjects":["ETD","Weighted distribution","Weighted generalized gamma distribution","Generalized gamma distribution","Mathematics"],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://digitalcommons.georgiasouthern.edu/etd/672","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Charles Champ","Hani Samawi","n/a"]},{"key":"dc:creator","label":"Author","values":["Priyadarshani, Hewa Anuradha"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.available","label":"Dc Date Available","values":["2013-08-07T07:00:00Z"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Department of Mathematical Sciences"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Thesis (restricted to Georgia Southern)"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Master of Science in Mathematics (M.S.)"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["ETD","Weighted distribution","Weighted generalized gamma distribution","Generalized gamma distribution","Mathematics"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://digitalcommons.georgiasouthern.edu/etd/672"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["A new class of weighted generalized gamma distribution and related distributions are presented. Theoretical properties of the generalized gamma model, weighted generalized gamma distribution including the hazard function, reverse hazard function, moments, coefficient of variation, coefficient of skewness, coefficient of kurtosis, Fisher information and entropy measures are derived. Estimation of the parameters of the weighted generalized gamma distribution via maximum likelihood estimation and method of moment estimation techniques are presented, as well as a test for the detection of length-biasedness in the generalized gamma model. Also presented are some useful transformations of the weighted generalized gamma distributed random variable.
"]},{"key":"dc:title","label":"Title","values":["Statistical Properties of Weighted Generalized Gamma Distribution"]}]}],"canonical_facts":{"dc:contributor":["Charles Champ","Hani Samawi","n/a"],"dc:creator":["Priyadarshani, Hewa Anuradha"],"dc:date.available":["2013-08-07T07:00:00Z"],"dc:description.abstract":["A new class of weighted generalized gamma distribution and related distributions are presented. Theoretical properties of the generalized gamma model, weighted generalized gamma distribution including the hazard function, reverse hazard function, moments, coefficient of variation, coefficient of skewness, coefficient of kurtosis, Fisher information and entropy measures are derived. Estimation of the parameters of the weighted generalized gamma distribution via maximum likelihood estimation and method of moment estimation techniques are presented, as well as a test for the detection of length-biasedness in the generalized gamma model. Also presented are some useful transformations of the weighted generalized gamma distributed random variable.
"],"dc:identifier":["https://digitalcommons.georgiasouthern.edu/etd/672"],"dc:subject":["ETD","Weighted distribution","Weighted generalized gamma distribution","Generalized gamma distribution","Mathematics"],"dc:title":["Statistical Properties of Weighted Generalized Gamma Distribution"],"thesis:degree_discipline":["Department of Mathematical Sciences"],"thesis:degree_level":["Thesis (restricted to Georgia Southern)"],"thesis:degree_name":["Master of Science in Mathematics (M.S.)"]},"updated_at":"2026-07-24T02:27:19Z"}