The Exponential Pareto Power Series Distribution: Theory and Applications

I. Elbatal, Mohamed Zayed, Mahdi Rasekhi, Nadeem Shafique Butt

Abstract


A new lifetime class of distributions is introduced by compounding the exponential Pareto and power series distributions. The compounding procedure follows the same set-up carried out by Adamidis and Loukas (1998). We obtain several properties of the new class including ordinary and conditional, mean deviations, Bonferroni and Lorenz curves, residual and reversed residual lifes and order statistics. The maximum likelihood estimation procedure is carried out to estimate the model parameters. We present three special models of the proposed class.


Keywords


Exponential Pareto Distribution, Power Series Distribution, Maximum Likelihood Estimation, Moments.

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DOI: http://dx.doi.org/10.18187/pjsor.v13i3.2072

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Title

The Exponential Pareto Power Series Distribution: Theory and Applications

Keywords

Exponential Pareto Distribution, Power Series Distribution, Maximum Likelihood Estimation, Moments.

Description

A new lifetime class of distributions is introduced by compounding the exponential Pareto and power series distributions. The compounding procedure follows the same set-up carried out by Adamidis and Loukas (1998). We obtain several properties of the new class including ordinary and conditional, mean deviations, Bonferroni and Lorenz curves, residual and reversed residual lifes and order statistics. The maximum likelihood estimation procedure is carried out to estimate the model parameters. We present three special models of the proposed class.


Date

2017-09-01

Identifier


Source

Pakistan Journal of Statistics and Operation Research; Vol. 13 No. 3, 2017



Print ISSN: 1816-2711 | Electronic ISSN: 2220-5810