Characterization of maximum probability points in the Multivariate Hypergeometric distribution

✍ Scribed by F. Requena; N.Martin Ciudad

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 118 KB
• Volume: 50
• Category: Article
• ISSN: 0167-7152
• DOI: 10.1016/s0167-7152(00)00079-1

✦ Synopsis

This paper presents the characterization of the mode of the Multivariate Hypergeometric distribution MH(R1; C1; : : : ; Cc) or, equivalently, of the maximum probability 2 × c contingency table with ÿxed 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 di erent ÿxed values of one of the variables, is studied, enabling us to obtain a recurrence relation between its maximum probabilities.