The exponentiated burr XII power series distribution: Properties and applications

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dc.authorid0000-0003-4589-4944
dc.authorid0000-0001-6192-9890
dc.authorid0000-0003-3302-0705
dc.contributor.authorNasir, Arslan
dc.contributor.authorYousof, Haitham M.
dc.contributor.authorJamal, Farrukh
dc.contributor.authorKorkmaz, Mustafa Çağatay
dc.date.accessioned2025-07-09T08:59:37Z
dc.date.available2025-07-09T08:59:37Z
dc.date.issued2019
dc.departmentAÇÜ, Eğitim Fakültesi, Eğitim Bilimleri Bölümü
dc.description.abstractIn this work, we introduce a new Burr XII power series class of distributions, which is obtained by compounding exponentiated Burr XII and power series distributions and has a strong physical motivation. The new distribution contains several important lifetime models. We derive explicit expressions for the ordinary and incomplete moments and generating functions. We discuss the maximum likelihood estimation of the model parameters. The maximum likelihood estimation procedure is presented. We assess the performance of the maximum likelihood estimators in terms of biases, standard deviations, and mean square of errors by means of two simulation studies. The usefulness of the new model is illustrated by means of three real data sets. The new proposed models provide consistently better fits than other competitive models for these data sets.
dc.identifier.doi10.3390/stats2010002
dc.identifier.endpage31
dc.identifier.issn2571905X
dc.identifier.issue1
dc.identifier.scopuss2.0-85085565833
dc.identifier.scopusqualityQ3
dc.identifier.startpage15
dc.identifier.urihttps://hdl.handle.net/11494/5709
dc.identifier.volume2
dc.identifier.wosWOS:000836774200001
dc.identifier.wosqualityQ3
dc.indekslendigikaynakScopus
dc.institutionauthorKorkmaz, Mustafa Çağatay
dc.institutionauthorid0000-0003-3302-0705
dc.language.isoen
dc.publisherMultidisciplinary Digital Publishing Institute (MDPI)
dc.relation.ispartofStats
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectBurr distribution
dc.subjectCompounding
dc.subjectHazard rate
dc.subjectLifetime distribution
dc.subjectMaximum likelihood method
dc.subjectPower series distribution
dc.titleThe exponentiated burr XII power series distribution: Properties and applications
dc.typeArticle

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