Generalization method of generating the continuous nested distributions

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dc.authoridFarman, Dr. Muhamamd/0000-0001-7616-0500
dc.authoridSaleem, Prof. Dr. Muhammad Umer/0000-0002-2263-3373
dc.contributor.authorFarooq, Mian Muhammad
dc.contributor.authorMohsin, Muhammad
dc.contributor.authorFarman, Muhammad
dc.contributor.authorAkgul, Ali
dc.contributor.authorSaleem, Muhammad Umer
dc.date.accessioned2024-12-24T19:30:07Z
dc.date.available2024-12-24T19:30:07Z
dc.date.issued2023
dc.departmentSiirt Üniversitesi
dc.description.abstractIn many life time scenarios, life of one component or system nested in other components or systems. To model these complex structures some so called nested models are required rather than conventional models. This paper introduces the generalization of the method of generating continuous distribution proposed by N. Eugene, C. Lee, and F. Famoye, Beta-normal distribution and its applications, Commun. Stat. Theor. Methods, vol. 31, no. 4, pp. 497-512, 2002 and A. Alzaatreh, C. Lee, and F. Famoye, A new method for generating families of continuous distributions, Metron, vol. 71, no. 1, pp. 63-79, 2013 which nest one model in other to cope with complex systems. Some important characteristics of the proposed family of generalized distribution have been studied. The famous Beta, Kumaraswami and Gamma generated distributions are special cases of our suggested procedure. Some new distributions have also been developed by using the suggested methodology and their important properties have been discussed as well. A variety of real life data sets are used to demonstrate the efficacy of new suggested distributions and illation is made with baseline models.
dc.identifier.doi10.1515/ijnsns-2021-0231
dc.identifier.endpage1353
dc.identifier.issn1565-1339
dc.identifier.issn2191-0294
dc.identifier.issue4
dc.identifier.scopus2-s2.0-85130899413
dc.identifier.scopusqualityQ2
dc.identifier.startpage1327
dc.identifier.urihttps://doi.org/10.1515/ijnsns-2021-0231
dc.identifier.urihttps://hdl.handle.net/20.500.12604/7398
dc.identifier.volume24
dc.identifier.wosWOS:000797799900001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherWalter De Gruyter Gmbh
dc.relation.ispartofInternational Journal of Nonlinear Sciences and Numerical Simulation
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241222
dc.subjectbeta-family
dc.subjectdistribution function
dc.subjectgeneralized distribution
dc.subjectKumaraswami-generated distribution
dc.titleGeneralization method of generating the continuous nested distributions
dc.typeArticle

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