On the burr xii-power cauchy distribution: Properties and applications

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dc.authorid0000-0003-3302-0705en_US
dc.contributor.authorBhatti, Fiaz Ahmad
dc.contributor.authorCordeiro, Gauss Moutinho
dc.contributor.authorKorkmaz, Mustafa Çağatay
dc.contributor.authorHamedani, Gholamhossein G.
dc.date.accessioned2022-01-17T11:06:20Z
dc.date.available2022-01-17T11:06:20Z
dc.date.issued2021
dc.departmentAÇÜ, Eğitim Fakültesi, Eğitim Bilimleri Bölümüen_US
dc.description.abstractWe introduce a four-parameter lifetime model with flexible hazard rate called the Burr XII gamma (BXIIG) distribution. We derive the BXIIG distribution from (i) the T-X family technique and (ii) nexus between the exponential and gamma variables. The failure rate function for the BXIIG distribution is flexible as it can accommodate various shapes such as increasing, decreasing, decreasing-increasing, increasing-decreasing-increasing, bathtub and modified bathtub. Its density function can take shapes such as exponential, J, reverse-J, left-skewed, right-skewed and symmetrical. To illustrate the importance of the BXIIG distribution, we establish various mathematical properties such as random number generator, ordinary moments, generating function, conditional moments, density functions of record values, reliability measures and characterizations. We address the maximum likelihood estimation for the parameters. We estimate the adequacy of the estimators via a simulation study. We consider applications to two real data sets to prove empirically the potentiality of the proposed model.
dc.identifier.citationBhatti, F. A., Cordeiro, G. M., Korkmaz, M. Ç., & Hamedani, G. G. (2021). On The Burr XII-Gamma Distribution: Development, Properties, Characterizations and Applications. Pakistan Journal of Statistics and Operation Research, 17(4), 771-789.en_US
dc.identifier.doi10.18187/pjsor.v17i4.3453
dc.identifier.endpage789en_US
dc.identifier.issue4en_US
dc.identifier.scopusqualityQ1
dc.identifier.startpage771en_US
dc.identifier.urihttps://hdl.handle.net/11494/3696
dc.identifier.volume17en_US
dc.indekslendigikaynakScopus
dc.institutionauthorKorkmaz, Mustafa Çağatay
dc.language.isoenen_US
dc.publisherUniversity of Punjab (new Campus)en_US
dc.relation.ispartofPakistan Journal of Statistics and Operation Research
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectCharacterizationsen_US
dc.subjectGamma distributionen_US
dc.subjectMaximum likelihood estimationen_US
dc.subjectReliabilityen_US
dc.titleOn the burr xii-power cauchy distribution: Properties and applicationsen_US
dc.typeArticle

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