Distributions in the Ehrenfest process
The quest continues for cases of interest where the differential equations for the Pólya process are amenable to an asymptotic solution. We introduce a tenable class of urns that generalize the classical Ehrenfest model, and analyze the Ehrenfest process obtained by embedding the discrete evolution in real time. We show that lurking under the Ehrenfest process is a limiting binomial distribution, whose number of trials is an integer invariant property of the process.
Year of publication: |
2006
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Authors: | Balaji, Srinivasan ; Mahmoud, Hosam M. ; Watanabe, Osamu |
Published in: |
Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 76.2006, 7, p. 666-674
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Publisher: |
Elsevier |
Keywords: | Urns Ehrenfest model Random structure Stochastic process Partial differential equation Leonard pairs Krawtchouk matrix |
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