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A variant of the Ehrenfest model

Published online by Cambridge University Press:  01 July 2016

K. W. H. Van Beek  and
A. J. Stam
K. W. H. Van Beek*
Affiliation:
Rijksuniversiteit Groningen
A. J. Stam*
Affiliation:
Rijksuniversiteit Groningen
*
∗Postal address: Mathematisch Instituut, Rijksuniversiteit, Postbus 800, 9700 AV Groningen, The Netherlands.
∗Postal address: Mathematisch Instituut, Rijksuniversiteit, Postbus 800, 9700 AV Groningen, The Netherlands.
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Abstract

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The Ehrenfest model is modified by drawing r balls at a time. The stationary distribution is the same as for r = 1.

Keywords

STATIONARY DISTRIBUTIONMARKOV CHAIN
Type
Letters to the Editor
Information
Advances in Applied Probability , Volume 19 , Issue 4 , December 1987 , pp. 995 - 996
Copyright
Copyright © Applied Probability Trust 1987 

References

[1] Feller, W. (1957) An Introduction to Probability Theory and Its Applications I. Wiley, New York.Google Scholar
[2] Johnson, N. L. and Kotz, S. (1977) Urn Models and Their Application. Wiley, New York.Google Scholar
[3] Kac, M. (1947) Random walk and theory of Brownian motion. Amer. Math. Monthly 54, 369–391.CrossRefGoogle Scholar
[4] Karlin, S. and Mcgregor, J. (1965) Ehrenfest urn models. J. Appl. Prob. 2, 351–376.Google Scholar
[5] Kemeny, J. G. and Snell, J. L. (1960) Finite Markov Chains. Van Nostrand, Princeton, N.J.Google Scholar