An introduction to multivariate Krawtchouk polynomials and their applications
classification
🧮 math.PR
keywords
polynomialsintroductionkrawtchoukmultinomialmultivariateapplicationsassociatedballs
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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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