An introduction to multivariate Krawtchouk polynomials and their applications
Probability
2014-02-11 v3
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.
Cite
@article{arxiv.1309.0112,
title = {An introduction to multivariate Krawtchouk polynomials and their applications},
author = {Persi Diaconis and Robert Griffiths},
journal= {arXiv preprint arXiv:1309.0112},
year = {2014}
}
Comments
26 pages