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Asymptotic behaviour of point processes with Markov-dependent intervals

Athreya, KB and Tweedie, RL and Vere-Jones, D (1980) Asymptotic behaviour of point processes with Markov-dependent intervals. In: Mathematische Nachrichte, 99 . pp. 301-313.

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Official URL: http://www3.interscience.wiley.com/journal/1134617...

Abstract

This splitting techniques for MARKOV chains developed by NUMMELIN (1978a) and ATHREYA and NEY (1978b) are used to derive an imbedded renewal process in WOLD's point process with MARKOV-correlated intervals. This leads to a simple proof of renewal theorems for such processes. In particular, a key renewal theorem is proved, from which analogues to both BLACKWELL's and BREIMAN's forms of the renewal theorem can be deduced.

Item Type: Journal Article
Additional Information: Copyright of this article belongs to John Wiley and Sons.
Department/Centre: Others
Date Deposited: 17 Jun 2009 10:51
Last Modified: 17 Jun 2009 10:51
URI: http://eprints.iisc.ernet.in/id/eprint/20762

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