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Characterization of maximum probability points in the Multivariate Hypergeometric distribution

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  • Requena, F.
  • Ciudad, N. Martin

Abstract

This paper presents the characterization of the mode of the Multivariate Hypergeometric distribution MH(R1;C1,...,Cc) or, equivalently, of the maximum probability 2xc contingency table with fixed marginal sums and row and column independence. Some results concerning the uniqueness of this mode are given. In addition, a relation between the maximum probability points, for different fixed values of one of the variables, is studied, enabling us to obtain a recurrence relation between its maximum probabilities.

Suggested Citation

  • Requena, F. & Ciudad, N. Martin, 2000. "Characterization of maximum probability points in the Multivariate Hypergeometric distribution," Statistics & Probability Letters, Elsevier, vol. 50(1), pages 39-47, October.
    • Handle: RePEc:eee:stapro:v:50:y:2000:i:1:p:39-47
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    References listed on IDEAS

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    1. Boland, Philip J. & Proschan, Frank, 1987. "Schur convexity of the maximum likelihood function for the multivariate hypergeometric and multinomial distributions," Statistics & Probability Letters, Elsevier, vol. 5(5), pages 317-322, August.
    2. Verbeek, Albert & Kroonenberg, Pieter M., 1985. "A survey of algorithms for exact distributions of test statistics in r x c contingency tables with fixed margins," Computational Statistics & Data Analysis, Elsevier, vol. 3(1), pages 159-185, May.
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    1. Requena, F. & Ciudad, N. Martin, 2006. "A major improvement to the Network Algorithm for Fisher's Exact Test in 2xc contingency tables," Computational Statistics & Data Analysis, Elsevier, vol. 51(2), pages 490-498, November.

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