On probabilities for separating sets of order statistics

2007/06/24 by Deborah H. Glueck, Anis Karimpour-Fard, Glueck, Deborah H. +5
Mathematics · #Computation (stat.CO) #FOS: Computer and information sciences #FOS: Mathematics #Probability (math.PR) #Statistics Theory (math.ST) #math.PR #math.ST #stat.CO #stat.TH

paper · pdf · doi:10.48550/arxiv.0706.3520

10 pages

arxiv created 2007/06/24 · arxiv updated 2009/12/01

Abstract

Consider a set of order statistics that arise from sorting samples from two different populations, each with their own, possibly different distribution function. The probability that these order statistics fall in disjoint, ordered intervals, and that of the smallest statistics, a certain number come from the first populations, are given in terms of the two distribution functions. The result is applied to computing the joint probability of the number of rejections and the number of false rejections for the Benjamini-Hochberg false discovery rate procedure.

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• Measuring Dependencies of Order Statistics: An Information Theoretic Perspective
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