An introduction to multivariate Krawtchouk polynomials and their applications

2013/08/31 by Persi Diaconis, Diaconis, Persi, Robert Griffiths +1 · 1 citation
Mathematics · #FOS: Mathematics #Probability (math.PR) #math.PR

paper · pdf · doi:10.48550/arxiv.1309.0112

26 pages

arxiv created 2014/02/09 · arxiv updated 2014/02/11

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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• Random Walks on ℤ_q^d

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