On Burr III Marshal Olkin family: development, properties, characterizations and applications

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dc.contributor.authorBhatti, Fiaz Ahmad
dc.contributor.authorHamedani G.G.
dc.contributor.authorKorkmaz, Mustafa Çağatay
dc.contributor.authorCordeiro, Gauss M.
dc.contributor.authorYousof, Haitham M.
dc.contributor.authorAhmad, Munir
dc.date.accessioned2025-07-09T05:17:11Z
dc.date.available2025-07-09T05:17:11Z
dc.date.issued2019
dc.departmentAÇÜ, Eğitim Fakültesi, Eğitim Bilimleri Bölümü
dc.description.abstractIn this paper, a flexible family of distributions with unimodel, bimodal, increasing, increasing and decreasing, inverted bathtub and modified bathtub hazard rate called Burr III-Marshal Olkin-G (BIIIMO-G) family is developed on the basis of the T-X family technique. The density function of the BIIIMO-G family is arc, exponential, left- skewed, right-skewed and symmetrical shaped. Descriptive measures such as quantiles, moments, incomplete moments, inequality measures and reliability measures are theoretically established. The BIIIMO-G family is characterized via different techniques. Parameters of the BIIIMO-G family are estimated using maximum likelihood method. A simulation study is performed to illustrate the performance of the maximum likelihood estimates (MLEs). The potentiality of BIIIMO-G family is demonstrated by its application to real data sets.
dc.identifier.doi10.1186/s40488-019-0101-7
dc.identifier.issn21955832
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85071241305
dc.identifier.urihttps://hdl.handle.net/11494/5698
dc.identifier.volume6
dc.indekslendigikaynakScopus
dc.institutionauthorKorkmaz, Mustafa Çağatay
dc.language.isoen
dc.publisherSpringer
dc.relation.ispartofJournal of Statistical Distributions and Applications
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectCharacterizations
dc.subjectMaximum likelihood estimation
dc.subjectMoments
dc.subjectReliability
dc.titleOn Burr III Marshal Olkin family: development, properties, characterizations and applications
dc.typeArticle

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