A Note on a Generalization of the Exponentiated Pareto Distribution
Elbatal Ibrahim () and
Merovci Faton ()
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Elbatal Ibrahim: Institute of Statistical Studies and Research, Department of Mathematical Statistics, Cairo University, Egypt
Merovci Faton: Department of Mathematics, University of Prishtina “Hasan Prishtina”, Republic of Kosovo
Stochastics and Quality Control, 2014, vol. 29, issue 1, 77-87
Abstract:
In this paper we introduce the so-called McDonald Exponentiated Pareto distribution. We provide a number of mathematical properties of this distribution and derive among others expressions for its moment-generating function, the rth moment, and the Renyi entropy. Finally, we present the likelihood equations to support the application of the McDonald Exponentiated Pareto distribution. The aim of the paper is to introduce an interesting distribution which is distinguished by high flexibility with respect to skewness and tail behavior.
Keywords: McDonald Exponentiated Pareto Distribution; Hazard Function; Moment-Generating Function; Maximum Likelihood Estimation; McDonald Exponentiated Pareto Distribution; Hazard Function; Moment-Generating Function; Maximum Likelihood Estimation (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:bpj:ecqcon:v:29:y:2014:i:1:p:11:n:8
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DOI: 10.1515/eqc-2014-0008
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