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

A.A. Jamjoom | Zendy; Zakeia A. Al-Saiary | Zendy

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

Author(s) -

A.A. Jamjoom,

Zakeia A. Al-Saiary

Publication year - 2012

Publication title -

journal of probability and statistics

Language(s) - English

Resource type - Journals

eISSN - 1687-9538

pISSN - 1687-952X

DOI - 10.1155/2012/248750

Subject(s) - mathematics , independent and identically distributed random variables , random variable , order statistic , combinatorics , matrix (chemical analysis) , statistics , moment (physics) , order (exchange) , function (biology) , cumulative distribution function , probability density function , physics , materials science , finance , classical mechanics , evolutionary biology , economics , composite material , biology

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 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

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