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Transience and recurrence of an interesting Markov chain

Published online by Cambridge University Press:  14 July 2016

Gérard Letac
Gérard Letac*
Affiliation:
University of Clermont, France
*
*Now at Université Paul Sabatier, Toulouse.
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Abstract

This note studies the natural extension to the countable case of a chain considered by Hendricks (1972) and gives necessary and sufficient conditions for transience, null recurrence and positive recurrence.

Keywords

MARKOV CHAINS
Type
Short Communications
Information
Journal of Applied Probability , Volume 11 , Issue 4 , December 1974 , pp. 818 - 824
Copyright
Copyright © Applied Probability Trust 1974 

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References

Hendricks, W. J. (1972) The stationary distribution of an interesting Markov chain. J. Appl. Prob. 9, 231–233.Google Scholar