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A Note on a Generalization of the Exponentiated Pareto Distribution

Author

Listed:
  • 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)

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.

Suggested Citation

  • Elbatal Ibrahim & Merovci Faton, 2014. "A Note on a Generalization of the Exponentiated Pareto Distribution," Stochastics and Quality Control, De Gruyter, vol. 29(1), pages 1-11, June.
    • Handle: RePEc:bpj:ecqcon:v:29:y:2014:i:1:p:11:n:8
    DOI: 10.1515/eqc-2014-0008
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    References listed on IDEAS

    as
    1. Rytgaard, Mette, 1990. "Estimation in the Pareto Distribution," ASTIN Bulletin, Cambridge University Press, vol. 20(2), pages 201-216, November.
    2. Krishnaji, N, 1970. "Characterization of the Pareto Distribution Through a Model of Underreported Incomes," Econometrica, Econometric Society, vol. 38(2), pages 251-255, March.
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