Abstract

This paper presents the characterization of the mode of the Multivariate Hypergeometric distribution MH( R 1; C 1,…, C c ) or, equivalently, of the maximum probability 2× c 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.

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