Krawtchouk polynomials and finite probability theory

Abstract : Some general remarks on random walks and martingales for finite probability distributions are presented. Orthogonal systems for the multinomial distribution arise. In particular, a class of generalized Krawtchouk polynomials is determined by a random walk generated by roots of unity. Relations with hypergeometric functions and some limit theorems are discussed.
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Rapport
[Research Report] RR-1744, INRIA. 1992
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https://hal.inria.fr/inria-00076984
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Soumis le : lundi 29 mai 2006 - 11:46:07
Dernière modification le : samedi 17 septembre 2016 - 01:06:48
Document(s) archivé(s) le : vendredi 13 mai 2011 - 22:21:00

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Philip Feinsilver, René Schott. Krawtchouk polynomials and finite probability theory. [Research Report] RR-1744, INRIA. 1992. 〈inria-00076984〉

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