Dispersive ordering of order statistics

Let X1,...,Xn be a random sample of size n from a DFR distribution and let Xi:n) denote its ith order statistic. It is shown that for i < j, X(i:n) is less dispersed than X(i:n). Also, if Xi's are independent DFR random variables, but not necessarily identical, then X(l:n) is less dispersed than X(j:n), for j> 1.

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Year of publication:	1996
Authors:	Kochar, Subhash C.
Published in:	Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 27.1996, 3, p. 271-274
Publisher:	Elsevier
Keywords:	Hazard rate ordering Likelihood ratio ordering k-out-of-n system DFR distribution

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

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