Transmuted Gumbel univariate exponential distribution

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dc.contributor.authorYılmaz, Mehmet
dc.contributor.authorHameldarbandi, Monireh
dc.contributor.departmentİstatistiktr_TR
dc.contributor.facultyFen Fakültesitr_TR
dc.date.accessioned2021-11-11T06:26:17Z
dc.date.available2021-11-11T06:26:17Z
dc.date.issued2020-06-30
dc.description.abstractA functional composition of the distribution function of one probability distribution with the inverse distribution function of another is called the transmutation map. The present paper is purported to show how the transmuted distribution can be obtained by using the convex combination of failure probability of two-component systems. The transmuted Gumbel univariate exponential distribution is presented by changing convex combination parameter. This new distribution is dened and studied. Some mathematical properties of this distribution including the generating function and ordinary moments are derived. The survival, hazard rate and mean residual life functions are discussed. Finally, three applications to real data are presented.tr_TR
dc.description.indexTrdizintr_TR
dc.identifier.endpage157tr_TR
dc.identifier.issn/e-issn2618-6470
dc.identifier.issue1tr_TR
dc.identifier.startpage137tr_TR
dc.identifier.urihttps://doi.org/10.31801/cfsuasmas.567496tr_TR
dc.identifier.urihttp://hdl.handle.net/20.500.12575/75976
dc.identifier.volume69tr_TR
dc.language.isoentr_TR
dc.publisherAnkara Üniversitesi Fen Fakültesitr_TR
dc.relation.isversionof10.31801/cfsuasmas.567496tr_TR
dc.relation.journalCommunications Faculty of Sciences University of Ankara Series A1 Mathematics and Statisticstr_TR
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıtr_TR
dc.subjectGumbel exponential distributiontr_TR
dc.subjectConvex combinationtr_TR
dc.subjectTransmutation methodtr_TR
dc.titleTransmuted Gumbel univariate exponential distributiontr_TR
dc.typeArticletr_TR

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