An introduction to multivariate Krawtchouk polynomials and their applications

Published 31 Aug 2013 in math.PR | (1309.0112v3)

Abstract: Orthogonal polynomials for the multinomial distribution m(x, p) of N balls dropped into d boxes (box i has probability p(i)) are called multivariate Krawtchouk polynomials. This paper gives an introduction to their properties, collections of natural Markov chains which they explicitly diagonalize and associated bivariate multinomial distributions.

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