A duality theorem for solving multiple-player multivariate hypergeometric problems

Milton Sobel and Krzysztof Frankowski

Statistics & Probability Letters, 1994, vol. 20, issue 2, 155-162

Abstract: In multi-player problems several samples are taken from a finite multi-categoried population without any replacement. Of interest are joint probabilities for each sample and each category. A duality theorem proved in this paper allows the exchange of players and categories and simplifies many such problems.

Keywords: Multivariate; hypergeometric; probabilities; Duality; theorem; Multi-player; problems; Multi-sample; problems; Random; partitioning; for; search; problems; Counting; square; matrices; to; solve; probability; problems (search for similar items in EconPapers)
Date: 1994
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