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Determination of the modes of a Multinomial distribution

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  • Gall, Françoise Le

Abstract

This paper presents an iterative algorithm for the computation of the mode(s) of a Multinomial distribution. A real multiplicative factor x is searched for so that the integer part of x times the probabilities of occurrence vector is a mode. We define bounds on x which can be used to compute the new mode(s) for variations on the parameters of the Multinomial distribution.

Suggested Citation

  • Gall, Françoise Le, 2003. "Determination of the modes of a Multinomial distribution," Statistics & Probability Letters, Elsevier, vol. 62(4), pages 325-333, May.
    • Handle: RePEc:eee:stapro:v:62:y:2003:i:4:p:325-333
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    Cited by:

    1. White, W.T.J. & Hendy, M.D., 2010. "A fast and simple algorithm for finding the modes of a multinomial distribution," Statistics & Probability Letters, Elsevier, vol. 80(1), pages 63-68, January.
    2. Gall, Françoise Le, 2006. "The modes of a negative multinomial distribution," Statistics & Probability Letters, Elsevier, vol. 76(6), pages 619-624, March.

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    Keywords

    Multinomial distribution Mode;

    Statistics

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