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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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https://hal.inria.fr/inria-00076984
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Submitted on : Monday, May 29, 2006 - 11:46:07 AM
Last modification on : Friday, February 4, 2022 - 3:23:39 AM
Long-term archiving on: : Friday, May 13, 2011 - 10:21:00 PM

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  • HAL Id : inria-00076984, version 1

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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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