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Krawtchouk Polynomials and Finite Probability Theory

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Krawtchouk Polynomials and Finite Probability Theory

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RBID : ISTEX:910DB66A0D4B08CF757086329E62BDE85437EEA4

Abstract

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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DOI: 10.1007/978-1-4899-2364-6_9

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Krawtchouk Polynomials and Finite Probability Theory

Krawtchouk Polynomials and Finite Probability Theory

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