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

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

Journal of Probability and Statistics, 2012, vol. 2012, 1-14

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 ð ‘Ÿ 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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljps:248750

DOI: 10.1155/2012/248750

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