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.Full text not available from this repository. (Request a copy)
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.|
|Date Deposited:||17 Jun 2009 10:51|
|Last Modified:||17 Jun 2009 10:51|
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