Computing the moments of order statistics from independent nonidentically distributed exponentiated Fréchet variables (Q428328)

Summary: The moments of order statistics (o.s.) arising from independent, nonidentically distributed (inid) three parameter Exponentiated Fréchet (EF) random variables (r.v.s.) were computed using a theorem of \textit{H. M. Barakat} and \textit{Y. H. Abdelkader} [Stat. Methods Appl. 13, No. 1, 15--26 (2004; Zbl 1056.62012)]. Two methods of integration were used to find the moments. Graphical representations 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.