Generalization method of generating the continuous nested distributions
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Tarih
2023
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Walter De Gruyter Gmbh
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In 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.
Açıklama
Anahtar Kelimeler
beta-family, distribution function, generalized distribution, Kumaraswami-generated distribution
Kaynak
International Journal of Nonlinear Sciences and Numerical Simulation
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
Cilt
24
Sayı
4
