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Criteria for classifying general Markov chains

Published online by Cambridge University Press:  01 July 2016

R. L. Tweedie
R. L. Tweedie*
Affiliation:
C.S.I.R.O. Division of Mathematics and Statistics, Canberra
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Abstract

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Type
I. Invited Review and Research Papers
Information
Advances in Applied Probability , Volume 9 , Issue 2 , June 1977 , pp. 208 - 210
Copyright
Copyright © Applied Probability Trust 1977 

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References

[1] Foster, F. G. (1953) On the stochastic processes associated with certain queueing processes. Ann. Math. Statist. 24, 355–360.Google Scholar
[2] Laslett, G. M., Pollard, D. B. and Tweedie, R. L. (1976) Techniques for establishing ergodic and recurrence properties of continuous valued Markov chains. Submitted for publication.Google Scholar
[3] Orey, S. (1971) Lecture Notes on Limit Theorems for Markov Chains on a General State Space. Van Nostrand Reinhold, London.Google Scholar
[4] Pollard, D. B. and Tweedie, R. L. (1976) R-theory for Markov chains on a topological state space II. Z. Wahrscheinlichkeitsth. 34, 269–278.Google Scholar
[5] Revuz, D. (1975) Markov Chains. North Holland, Amsterdam.Google Scholar
[6] Tweedie, R. L. (1976) Criteria for classifying general Markov chains. Adv. Appl. Prob. 8, 737–771.CrossRefGoogle Scholar