Multivariate Krawtchouk Polynomials and Composition Birth and Death Processes

Multivariate Krawtchouk Polynomials and Composition Birth and Death Processes

This paper defines the multivariate Krawtchouk polynomials, orthogonal on the multinomial distribution, and summarizes their properties as a review. The multivariate Krawtchouk polynomials are symmetric functions of orthogonal sets of functions defined on each of N multinomial trials. The dual multi...

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Bibliographic Details
Main Author: Robert Griffiths
Format: Article
Language:English
Published: MDPI AG 2016-05-01
Series:Symmetry
Subjects:
Bernoulli trials and orthogonal polynomials
birth and death processes
composition Markov processes
Karlin and McGregor spectral representation
multivariate Krawtchouk polynomials
Online Access:http://www.mdpi.com/2073-8994/8/5/33

Internet

http://www.mdpi.com/2073-8994/8/5/33

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