Journal of Probability and Statistics
Volume 2012 (2012), Article ID 248750, 14 pages
http://dx.doi.org/10.1155/2012/248750
Research Article

Computing the Moments of Order Statistics from Independent Nonidentically Distributed Exponentiated Frechet Variables

A. A. Jamjoom and Z. A. Al-Saiary

Department of Statistics, King Abdul-Aziz University, Jeddah 21589, Saudi Arabia

Received 12 June 2011; Revised 15 October 2011; Accepted 18 October 2011

Academic Editor: Rongling Wu

Copyright © 2012 A. A. Jamjoom and Z. A. Al-Saiary. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The moments of order statistics (o.s.) arising from independent nonidentically distributed (inid) three parameter Exponentiated Frechet (EF) random variables (r.v.'s.) were computed using a theorem of Barakat and Abdelkader (2003). Two methods of integration were used to find the moments. Graphical representation of the probability density function (p.d.f.) and the cumulative distribution function (c.d.f.) of the 𝑟 th o.s. arising from inid r.v.'s. from this distribution. Calculations of the mean of the largest o.s. from a sample of size 2 were given for both inid and independent identically distributed (iid) r.v.'s.