Krawtchouk Polynomials and Finite Probability Theory

P. Feinsilver and R. Schott
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P. Feinsilver: Southern Illinois University, Department of Mathematics
R. Schott: Université de Nancy I, CRIN, INRIA-Lorraine

A chapter in Probability Measures on Groups X, 1991, pp 129-135 from Springer

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.

Date: 1991
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DOI: 10.1007/978-1-4899-2364-6_9

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