The Kumaraswamy Marshall-Olkin Fréchet distribution with applications
Journal of ISOSS • 2016
Publication Information
Authors
Ahmed Z. Afify;Haitham M. Yousof;Gauss M. Cordeiro;Zohdy M. Nofal;Munir Ahmad
Keywords
Generating Function;Marshall–Olkin Fréchet;Maximum Likelihood; Moment;Order
Statistics;Rényi Entropy
Journal
Journal of ISOSS
Publisher
ISOSS-Islamic Countries Society of Statistical Sciences
Volume
2
Issue
2
Pages
151-168
publication.type
International
Paper Link
Open Link
Supplementary Materials
Not Available
Abstract
The Fréchet distribution is an absolutely continuous distribution with wide applicability in extreme value theory. Generalizing distributions is always precious for applied statisticians and recent literature has suggested several ways of extending wellknown distributions. We propose a new lifetime model called the Kumaraswamy Marshall–Olkin Fréchet distribution, which generalizes the Marshall–Olkin Fréchet
distribution and at least seventeen known and unknown lifetime models. Various properties of the new model are explored including closed-forms expressions for
moments, quantiles, generating function, order statisics and Rényi entropy. The maximum likelihood method is used to estimate the model parameters. We compare the flexibility of the proposed model with other related distributions by means of two real data sets.
distribution and at least seventeen known and unknown lifetime models. Various properties of the new model are explored including closed-forms expressions for
moments, quantiles, generating function, order statisics and Rényi entropy. The maximum likelihood method is used to estimate the model parameters. We compare the flexibility of the proposed model with other related distributions by means of two real data sets.
Staff Members - Benha University