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- W2031036121 abstract "Abstract Suppose ΓX = (X′(1), X′(2),…,X′(n)) and ΓY = (Y′(1), Y′(2),…,Y′(n)) are two groups of stochastically ordered r.v.'s, which can represent, say, the increasing strengths of the members of two chess teams or two tennis teams, etc. Let Π = (Π1, Π2,…,Πn) be a permutation of (1, 2, …, n). Then the statistic S(Π)= Σni=1 I(Y′(i) > X′(Πi) measures the superiority of ΓY over ΓX in matching under Π, where I(y > x) is an indicator function. We study the dependence of ES(Π) = Σn i=1 P(Y′i > X′(Πi) on Π, especially when Π = (1, 2, … n) and when Π is randomly given. A class of special matchings called ‘fair matchings’ is also discussed. These problems are investigated under two models, termed the order statistics model and the linear preference model." @default.
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- W2031036121 date "1993-05-01" @default.
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- W2031036121 title "Comparing two groups of ranked objects by pairwise matching" @default.
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- W2031036121 doi "https://doi.org/10.1016/0378-3758(93)90042-5" @default.
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