On Generalized Order Statistics from Exponential Distribution

 

M. Ahsanullah (2006). On Generalized Order Statistics from Exponential Distribution. Journal of Statistical Research, Vol. 40, No. 2, pp.  21-28.

 

Abstract

Let $ X $ be a non-negative random variable (r.v.) with cumulative distribution function (cdf) $ F $. Suppose $ X(r, n,m, k), (r = 1, 2, . . . , n), m $ is a real number and $ k\ge 1 $, is the $ r^{th} $ smallest generalized order statistic. Several distributional properties of the generalized order statistics from exponential distribution are given. Some characterizations of the exponential distribution based on the generalized order statistics are presented.

 

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