In this thesis, the generalized inverseWeibull distribution including the proportional reverse hazard and Kumasraswamy generalized inverse Weibull distributions are presented. Properties of these distributions including the behavior of the hazard and reverse hazard functions, moments, coe_cients of variation, skewness,and kurtosis, _entropy, generalized entropy, Fisher information matrix, informational energy are studied. Estimates of the model parameters via several methods including maximum likelihood (MLE), and method of moments (MME) are presented.
","abstract_html":"<p>In this thesis, the generalized inverseWeibull distribution including the proportional reverse hazard and Kumasraswamy generalized inverse Weibull distributions are presented. Properties of these distributions including the behavior of the hazard and reverse hazard functions, moments, coe_cients of variation, skewness,and kurtosis, _entropy, generalized entropy, Fisher information matrix, informational energy are studied. Estimates of the model parameters via several methods including maximum likelihood (MLE), and method of moments (MME) are presented.</p>","abstract_has_math":false,"creators":["Yang, Tao"],"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"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2012,"date_issued":"2012-01-01T08:00:00Z","date_published":"2012-01-01T08:00:00Z","updated_at":"2026-07-24T02:27:19Z","subjects":["ETD","Inverse Weibull Distribution","Generalized Inverse Weibull Distribution","Related Distributions","Kumaraswamy Distribution","Distribution (Probability theory)","Weibull distribution","Mathematics"],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://digitalcommons.georgiasouthern.edu/etd/678","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"]},{"key":"dc:creator","label":"Author","values":["Yang, Tao"]}]},{"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","Inverse Weibull Distribution","Generalized Inverse Weibull Distribution","Related Distributions","Kumaraswamy Distribution","Distribution (Probability theory)","Weibull distribution","Mathematics"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://digitalcommons.georgiasouthern.edu/etd/678"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["In this thesis, the generalized inverseWeibull distribution including the proportional reverse hazard and Kumasraswamy generalized inverse Weibull distributions are presented. Properties of these distributions including the behavior of the hazard and reverse hazard functions, moments, coe_cients of variation, skewness,and kurtosis, _entropy, generalized entropy, Fisher information matrix, informational energy are studied. Estimates of the model parameters via several methods including maximum likelihood (MLE), and method of moments (MME) are presented.
"]},{"key":"dc:title","label":"Title","values":["Statistical Properties of Kumaraswamy Generalized Inverse Weibull Distribution"]}]}],"canonical_facts":{"dc:contributor":["Charles Champ","Hani Samawi"],"dc:creator":["Yang, Tao"],"dc:date.available":["2013-08-07T07:00:00Z"],"dc:description.abstract":["In this thesis, the generalized inverseWeibull distribution including the proportional reverse hazard and Kumasraswamy generalized inverse Weibull distributions are presented. Properties of these distributions including the behavior of the hazard and reverse hazard functions, moments, coe_cients of variation, skewness,and kurtosis, _entropy, generalized entropy, Fisher information matrix, informational energy are studied. Estimates of the model parameters via several methods including maximum likelihood (MLE), and method of moments (MME) are presented.
"],"dc:identifier":["https://digitalcommons.georgiasouthern.edu/etd/678"],"dc:subject":["ETD","Inverse Weibull Distribution","Generalized Inverse Weibull Distribution","Related Distributions","Kumaraswamy Distribution","Distribution (Probability theory)","Weibull distribution","Mathematics"],"dc:title":["Statistical Properties of Kumaraswamy Generalized Inverse Weibull 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"}