The Fréchet Topp Leone-G Family of Distributions: Properties, Characterizations and Applications
Document Type
Article
Publication Date
6-2021
Publisher
Springer
Source Publication
Annals of Data Science
Source ISSN
2198-5804
Abstract
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.
Recommended Citation
Reyad, Hesham Mohammed; Korkmaz, Mustafa Ç.; Afify, Ahmed Z.; Hamedani, Gholamhossein; and Othman, Soha, "The Fréchet Topp Leone-G Family of Distributions: Properties, Characterizations and Applications" (2021). Mathematical and Statistical Science Faculty Research and Publications. 134.
https://epublications.marquette.edu/math_fac/134
Comments
Annals of Data Science, Vol. 8, No. 2 (June 2021): 345-366. DOI. © 2019 Springer-Verlag GmbH Germany, part of Springer Nature.