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On the Regularity of Skip-Free Markov Chains

Published online by Cambridge University Press:  27 July 2009

D. P. Kennedy
D. P. Kennedy
Affiliation:
Statistical Laboratory, University of Cambridge, 16 Mill Lane, Cambridge CB2 1SB, England
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Abstract

Necessary and sufficient conditions for the regularity and recurrence of right-skip-free Markov chains are established. These generalize classical results for the case of birth-and-death processes. Expressions for the general right eigenvectors of such chains are also given.

Information

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 8 , Issue 3 , July 1994 , pp. 377 - 384
Copyright
Copyright © Cambridge University Press 1994

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References

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