Exchangeable Pairs of Bernoulli Random Variables, Krawtchouck Polynomials, and Ehrenfest Urns
نویسندگان
چکیده
This paper explores characterizations of Bivariate Binomial distributions of the Lancaster form with Krawtchouk polynomial eigenfunctions which are equivalent to a characterization by Eagleson (1969). Generalized Ehrenfest urns with Binomial stationary distributions have transition functions which are equivalent to the Lancaster distributions. There is a partial extension to d-colour ball Ehrenfest urns.
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