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The Kumaraswamy Exponentiated Fréchet Distribution.

Author(s)
Mahmoud M. Mansour Department of MIS, Yanbu, Taibah University, Saudi Arabia
Gokarna Aryal Department of Mathematics, Statistics and CS, Purdue University Northwest, USA.
Ahmed Z. Afify Department of Statistics, Mathematics and Insurance, Benha University, Egypt.
Munir Ahmad National College of Business Administration and Economics, Lahore, Pakistan
Abstract
A new five-parameter model called the Kumaraswamy exponentiated Fréchet (KwEFr) distribution is proposed and studied. The new model generalizes many well known distributions in the literature. It is illustrated that 27 different distribution are embedded in the Kw-EFr distribution. Various structural properties including explicit expressions for ordinary and incomplete moments, quantile, generating function and Rényi and qentropies are derived. The maximum likelihood method is used to estimate the model parameters and the observed information matrix is derived. A real data set is used to compare the new model with other competing models.
Publication Details
Page(s) 177-193
DOI DOI not available
Published Journal: Pakistan Journal of Statistics, Volume: 34, Issue: 3, Year: 2018

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