EXCHANGEABLE PAIRS OF BERNOULLI RANDOM VARIABLES, KRAWTCHOUCK POLYNOMIALS, AND EHRENFEST URNS

DOI10.1111/j.1467-842X.2012.00654.xzbMath1334.60006OpenAlexW1504870932MaRDI QIDQ2802783

Persi Diaconis, Robert C. Griffiths

Publication date: 27 April 2016

Published in: Australian & New Zealand Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/j.1467-842x.2012.00654.x

zbMATH Keywords

Krawtchouk polynomialsLancaster distributionscorrelation sequencesEhrenfest urnsbivariate binomial distributions

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Combinatorial probability (60C05) Contingency tables (62H17) Continuous-time Markov processes on discrete state spaces (60J27) Exchangeability for stochastic processes (60G09)

Related Items (10)

Lancaster distributions and Markov chains with multivariate Poisson-Charlier, Meixner and Hermite-Chebycheff polynomial eigenfunctions ⋮ A class of non-reversible hypercube long-range random walks and Bernoulli autoregression ⋮ Some counterexamples concerning maximal correlation and linear regression ⋮ An introduction to multivariate Krawtchouk polynomials and their applications ⋮ A basic model of mutations ⋮ Reproducing kernel orthogonal polynomials on the multinomial distribution ⋮ A class of random walks on the hypercube ⋮ Polynomial approximations for bivariate aggregate claims amount probability distributions ⋮ On the hypergroup property ⋮ Krawtchouk transforms and convolutions

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