The unit generalized log Burr XII distribution: properties and application

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dc.authorid0000-0003-3302-0705en_US
dc.contributor.authorBhatti, Fiaz Ahmad
dc.contributor.authorAli, Azeem
dc.contributor.authorHamedani, Gholamhossein G.
dc.contributor.authorKorkmaz, Mustafa Çağatay
dc.contributor.authorAhmad, Munir
dc.date.accessioned2021-08-09T08:08:30Z
dc.date.available2021-08-09T08:08:30Z
dc.date.issued2021
dc.departmentAÇÜ, Eğitim Fakültesi, Eğitim Bilimleri Bölümüen_US
dc.description.abstractIn this paper, a three-parameter bounded unit distribution with a flexible hazard rate called the unit generalized log Burr XII (UGLBXII) distribution is derived. To show the importance of the proposed distribution, we establish some of its mathematical properties such as random number generator, ordinary moments, generalized TL moments, conditional moments, reliability and uncertainty measures. We characterize the UGLBXII distribution via innovative techniques. We also present the bivariate? and multivariate?type distributions via Morgenstern (Mor) family and via Clayton family. Six estimation methods such as the maximum likelihood, maximum product spacings, least squares, weighted least squares, Cramer-von Mises and Anderson-Darling methods are adopted to estimate its unknown parameters. We perform simulation studies on the basis of the graphical results to see the performance of the above estimators. Two real data sets are considered to prove the empirical superiority of the proposed model. © 2021 the Author(s), licensee AIMS Press.
dc.identifier.citationBhatti, F. A., Ali, A., Hamedani, G. G., Korkmaz, M. Ç., & Ahmad, M. (2021). The unit generalized log Burr XII distribution: properties and application. AIMS Mathematics, 6(9), 10222-10252.en_US
dc.identifier.doi10.3934/math.2021592
dc.identifier.endpage10252en_US
dc.identifier.issue9en_US
dc.identifier.scopusqualityQ1
dc.identifier.startpage10222en_US
dc.identifier.urihttps://hdl.handle.net/11494/3313
dc.identifier.volume6en_US
dc.indekslendigikaynakScopus
dc.institutionauthorKorkmaz, Mustafa Çağatay
dc.language.isoenen_US
dc.publisherAmerican Institute of Mathematical Sciencesen_US
dc.relation.ispartofAIMS Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectGeneralized TL momentsen_US
dc.subjectMaximum likelihood estimationen_US
dc.subjectPearson differential equationen_US
dc.titleThe unit generalized log Burr XII distribution: properties and applicationen_US
dc.typeArticle

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