Krawtchouk Polynomials and Finite Probability Theory

作者: P. Feinsilver , R. Schott

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

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摘要: Some general remarks on random walks and martingales for finite probability distributions are presented. Orthogonal systems the multinomial distribution arise. In particular, a class of generalized Krawtchouk polynomials is determined by walk generated roots unity. Relations with hypergeometric functions some limit theorems discussed.

参考文章(4)
Wilhelm von Waldenfels, Non-commutative algebraic central limit theorems Springer, Berlin, Heidelberg. pp. 174- 202 ,(1986) , 10.1007/BFB0077184
Philip Feinsilver, Bernoulli systems in several variables Lecture Notes in Mathematics. pp. 86- 98 ,(1984) , 10.1007/BFB0073636