In this thesis, new classes of generalized Lindley distributions called the beta-generalized Lindley (BGL) distribution, exponentiated Kumaraswamy Lindley (EKL) distribution, and Kumaraswamy power Lindley (KPL) 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, monotonicity property, shapes, moments, reliability, quantile function, mean deviations, Bonferroni and Lorenz curves, entropy and Fisher information are derived. Method of maximum likelihood is used to estimate the parameters of the new classes of distributions. Finally, real data examples are discussed to illustrate the applicability of the classes of distributions.
","abstract_html":"<p>In this thesis, new classes of generalized Lindley distributions called the beta-generalized Lindley (BGL) distribution, exponentiated Kumaraswamy Lindley (EKL) distribution, and Kumaraswamy power Lindley (KPL) 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, monotonicity property, shapes, moments, reliability, quantile function, mean deviations, Bonferroni and Lorenz curves, entropy and Fisher information are derived. Method of maximum likelihood is used to estimate the parameters of the new classes of distributions. Finally, real data examples are discussed to illustrate the applicability of the classes of distributions.</p>","abstract_has_math":false,"creators":["Yang, Tiantian"],"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":2014,"date_issued":"2014-01-01T08:00:00Z","date_published":"2014-01-01T08:00:00Z","updated_at":"2026-07-24T02:28:00Z","subjects":["ETD","Lindley Distributions","Generalized Lindley Distribution","Related Distributions","Statistical Models","Survival Analysis"],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://digitalcommons.georgiasouthern.edu/etd/1148","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":["Yang, Tiantian"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.available","label":"Dc Date Available","values":["2019-07-03T07:00:00Z"]},{"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","Lindley Distributions","Generalized Lindley Distribution","Related Distributions","Statistical Models","Survival Analysis"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://digitalcommons.georgiasouthern.edu/etd/1148"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["In this thesis, new classes of generalized Lindley distributions called the beta-generalized Lindley (BGL) distribution, exponentiated Kumaraswamy Lindley (EKL) distribution, and Kumaraswamy power Lindley (KPL) 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, monotonicity property, shapes, moments, reliability, quantile function, mean deviations, Bonferroni and Lorenz curves, entropy and Fisher information are derived. Method of maximum likelihood is used to estimate the parameters of the new classes of distributions. Finally, real data examples are discussed to illustrate the applicability of the classes of distributions.
"]},{"key":"dc:title","label":"Title","values":["Generalized Classes of Lindley Distributions With Applications to Lifetime data"]}]}],"canonical_facts":{"dc:contributor":["Charles Champ","Arpita Chatterjee"],"dc:creator":["Yang, Tiantian"],"dc:date.available":["2019-07-03T07:00:00Z"],"dc:description.abstract":["In this thesis, new classes of generalized Lindley distributions called the beta-generalized Lindley (BGL) distribution, exponentiated Kumaraswamy Lindley (EKL) distribution, and Kumaraswamy power Lindley (KPL) 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, monotonicity property, shapes, moments, reliability, quantile function, mean deviations, Bonferroni and Lorenz curves, entropy and Fisher information are derived. Method of maximum likelihood is used to estimate the parameters of the new classes of distributions. Finally, real data examples are discussed to illustrate the applicability of the classes of distributions.
"],"dc:identifier":["https://digitalcommons.georgiasouthern.edu/etd/1148"],"dc:subject":["ETD","Lindley Distributions","Generalized Lindley Distribution","Related Distributions","Statistical Models","Survival Analysis"],"dc:title":["Generalized Classes of Lindley Distributions 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":"2026-07-24T02:28:00Z"}