In this thesis, a generalized modified Weibull distribution called the exponentiated modified Weibull Poisson (EMWP) distribution as well as related sub-distributions are proposed. Series expansion of the densities are obtained. Statistical properties of these classes of distributions, including hazard function, reverse hazard function, moments, quantile function, entropy and distribution of order statistics are derived. Method of maximum likelihood is used to estimate the parameters of the new distribution. Finally, a real data example is discussed to illustrate the usefulness and applicability of the distribution.
","abstract_html":"<p>In this thesis, a generalized modified Weibull distribution called the exponentiated modified Weibull Poisson (EMWP) distribution as well as related sub-distributions are proposed. Series expansion of the densities are obtained. Statistical properties of these classes of distributions, including hazard function, reverse hazard function, moments, quantile function, entropy and distribution of order statistics are derived. Method of maximum likelihood is used to estimate the parameters of the new distribution. Finally, a real data example is discussed to illustrate the usefulness and applicability of the distribution.</p>","abstract_has_math":false,"creators":["Towa, Toussaint"],"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","Arpita Chatterjee"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2013,"date_issued":"2013-01-01T08:00:00Z","date_published":"2013-01-01T08:00:00Z","updated_at":"2026-07-24T02:28:15Z","subjects":["ETD","Modified Weibull Distribution","Generalized Distributions","Poisson Distribution","Related Distributions","Applied Statistics","Statistics and Probability"],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://digitalcommons.georgiasouthern.edu/etd/1175","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Charles Champ","Arpita Chatterjee"]},{"key":"dc:creator","label":"Author","values":["Towa, Toussaint"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.available","label":"Dc Date Available","values":["2019-11-16T08:00:00Z"]},{"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","Modified Weibull Distribution","Generalized Distributions","Poisson Distribution","Related Distributions","Applied Statistics","Statistics and Probability"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://digitalcommons.georgiasouthern.edu/etd/1175"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["In this thesis, a generalized modified Weibull distribution called the exponentiated modified Weibull Poisson (EMWP) distribution as well as related sub-distributions are proposed. Series expansion of the densities are obtained. Statistical properties of these classes of distributions, including hazard function, reverse hazard function, moments, quantile function, entropy and distribution of order statistics are derived. Method of maximum likelihood is used to estimate the parameters of the new distribution. Finally, a real data example is discussed to illustrate the usefulness and applicability of the distribution.
"]},{"key":"dc:title","label":"Title","values":["Generalized Modified Weibull Poisson Distribution with Applications to Lifetime Data"]}]}],"canonical_facts":{"dc:contributor":["Charles Champ","Arpita Chatterjee"],"dc:creator":["Towa, Toussaint"],"dc:date.available":["2019-11-16T08:00:00Z"],"dc:description.abstract":["In this thesis, a generalized modified Weibull distribution called the exponentiated modified Weibull Poisson (EMWP) distribution as well as related sub-distributions are proposed. Series expansion of the densities are obtained. Statistical properties of these classes of distributions, including hazard function, reverse hazard function, moments, quantile function, entropy and distribution of order statistics are derived. Method of maximum likelihood is used to estimate the parameters of the new distribution. Finally, a real data example is discussed to illustrate the usefulness and applicability of the distribution.
"],"dc:identifier":["https://digitalcommons.georgiasouthern.edu/etd/1175"],"dc:subject":["ETD","Modified Weibull Distribution","Generalized Distributions","Poisson Distribution","Related Distributions","Applied Statistics","Statistics and Probability"],"dc:title":["Generalized Modified Weibull Poisson Distribution with Applications to Lifetime Data"],"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":"2026-07-24T02:28:15Z"}