Staff Members - Benha University
The exponentiated Weibull-H family of distributions: theory and applications
Mediterranean Journal of Mathematics • 2017
Publication Information
Authors
Gauss M. Cordeiro;Ahmed Z. Afify;Haitham M. Yousof;Rodrigo R.Pescim;Gokarna R. Aryal
Keywords
Weibull distribution;Weibull-H family;Order statistics;
Parameter estimation;Simulation
Journal
Mediterranean Journal of Mathematics
Publisher
Springer International Publishing AG
Volume
2017
Issue
Not Available
Pages
22
publication.type
International
Paper Link
Open Link
Supplementary Materials
Not Available
Abstract
A new class of continuous distributions called theexponentiated Weibull-H family is proposed and studied. The proposed class
extends the Weibull-H family of probability distributions introduced by Bourguignon et al. (J Data Sci 12:53–68,2014). Some special models of the new family are presented. Its basic mathematical properties including explicit expressions for the ordinary and incomplete moments, quantile and generating function, Renyi and Shannon entropies, order statistics, and probability weighted moments are derived. The maximum likelihood method is adopted to estimate the model parameters and a simulation study is performed. The flexibility of the generated family is
proved empirically by means of two applications to real data sets.
extends the Weibull-H family of probability distributions introduced by Bourguignon et al. (J Data Sci 12:53–68,2014). Some special models of the new family are presented. Its basic mathematical properties including explicit expressions for the ordinary and incomplete moments, quantile and generating function, Renyi and Shannon entropies, order statistics, and probability weighted moments are derived. The maximum likelihood method is adopted to estimate the model parameters and a simulation study is performed. The flexibility of the generated family is
proved empirically by means of two applications to real data sets.