Krawtchouk Polynomials and Finite Probability Theory
Identifieur interne : 002150 ( Istex/Curation ); précédent : 002149; suivant : 002151Krawtchouk Polynomials and Finite Probability Theory
Auteurs : P. Feinsilver [États-Unis] ; R. Schott [France]Source :
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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