The fréchet topp leone-g family of distributions: Properties, characterizations and applications
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Dosyalar
Tarih
2021
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer Science and Business Media Deutschland GmbH
Erişim Hakkı
info:eu-repo/semantics/embargoedAccess
Özet
A new family of continuous distributions which ensure model flexiblity, is introduced based on the Fréchet distribution and Topp Leone-G family. Two special sub-models of the new family are discussed. We provide some distributional properties of this family in the general setting such as the series expansions of density, moments, generating function, stress strength model, Rényi and Shannon entropies, probability weighted moments and order statistics. Certain characterizations of the proposed family are presented. The maximum likelihood estimates and the observed information matrix are obtained for the model parameters. We assess the performance of the maximum likelihood estimators by means of a graphical simulation study. The potentiality of the new class is shown via two applications to real data sets.
Açıklama
Anahtar Kelimeler
Characterizations, Maximum likelihood, Order statistics, Stress strength model, T-X family, Topp leone-g family
Kaynak
Annals of Data Science
WoS Q Değeri
Scopus Q Değeri
Q1
Cilt
8
Sayı
2
