Lorenz ordering of order statistics

Subhash Kochar

Statistics & Probability Letters, 2006, vol. 76, issue 17, 1855-1860

Abstract: Let Xi:n denote the ith order statistic of a random sample of size n from a continuous distribution with cdf F. Sufficient conditions are obtained on F so that Xj:m[less-than-or-equals, slant][small star, filled]Xi:n (hence Xj:m[less-than-or-equals, slant]LorenzXi:n) for i[less-than-or-equals, slant]j and n-i[greater-or-equal, slanted]m-j.

Keywords: Star; ordering; Dispersive; ordering; Hazard; rate; Reverse; hazard; rate (search for similar items in EconPapers)
Date: 2006
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Citations: View citations in EconPapers (5)

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