The fréchet topp leone-g family of distributions: Properties, characterizations and applications

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dc.contributor.authorReyad, Hesham
dc.contributor.authorKorkmaz, Mustafa Çağatay
dc.contributor.authorAfify, Ahmed Z.
dc.contributor.authorHamedani G.G.
dc.contributor.authorOthman, Soha
dc.date.accessioned2025-07-10T10:26:07Z
dc.date.available2025-07-10T10:26:07Z
dc.date.issued2021
dc.departmentAÇÜ, Eğitim Fakültesi, Eğitim Bilimleri Bölümü
dc.description.abstractA new family of continuous distributions which ensure model flexiblity, is introduced based on the Fréchet distribution and Topp Leone-G family. Two special sub-models of the new family are discussed. We provide some distributional properties of this family in the general setting such as the series expansions of density, moments, generating function, stress strength model, Rényi and Shannon entropies, probability weighted moments and order statistics. Certain characterizations of the proposed family are presented. The maximum likelihood estimates and the observed information matrix are obtained for the model parameters. We assess the performance of the maximum likelihood estimators by means of a graphical simulation study. The potentiality of the new class is shown via two applications to real data sets.
dc.identifier.doi10.1007/s40745-019-00212-9
dc.identifier.endpage366
dc.identifier.issn21985804
dc.identifier.issue2
dc.identifier.scopuss2.0-85075470116
dc.identifier.scopusqualityQ1
dc.identifier.startpage345
dc.identifier.urihttps://hdl.handle.net/11494/5733
dc.identifier.volume8
dc.indekslendigikaynakScopus
dc.institutionauthorKorkmaz, Mustafa Çağatay
dc.language.isoen
dc.publisherSpringer Science and Business Media Deutschland GmbH
dc.relation.ispartofAnnals of Data Science
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/embargoedAccess
dc.subjectCharacterizations
dc.subjectMaximum likelihood
dc.subjectOrder statistics
dc.subjectStress strength model
dc.subjectT-X family
dc.subjectTopp leone-g family
dc.titleThe fréchet topp leone-g family of distributions: Properties, characterizations and applications
dc.typeArticle

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