An introduction to multivariate Krawtchouk polynomials and their applications

By Persi Diaconis, Robert C. Griffiths. 2013

57 citations recorded by the source corpus.

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.

Subfields: Algebra and Number Theory, Artificial Intelligence, Discrete Mathematics and Combinatorics

View Paper: https://www.semanticscholar.org/paper/d2fdb9914fee031b2a9a7f64f3ab184714152edd