Asymptotic behaviour of point processes with Markov-dependent intervals

Athreya, K. B. ; Tweedie, R. L. ; Vere-Jones, D. (1980) Asymptotic behaviour of point processes with Markov-dependent intervals Mathematische Nachrichten, 99 (1). pp. 301-313. ISSN 0025-584X

Full text not available from this repository.

Official URL: http://onlinelibrary.wiley.com/doi/10.1002/mana.19...

Related URL: http://dx.doi.org/10.1002/mana.19800990131

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:Article
Source:Copyright of this article belongs to John Wiley and Sons, Inc.
ID Code:1151
Deposited On:05 Oct 2010 12:51
Last Modified:12 May 2011 10:16

Repository Staff Only: item control page