POISSON APPROXIMATION FOR POINT PROCESSES VIA MONOTONE COUPLINGS
成果类型：
Article
署名作者：
Brown, Timothy C.; Greig, Darryl
署名单位：
University of Melbourne
刊物名称：
ANNALS OF APPLIED PROBABILITY
ISSN/ISSBN：
1050-5164
发表日期：
1996
页码：
545-560
关键词：
摘要：
Monotonicity properties of certain classes of point processes with respect to the Palm measure are exploited to derive upper and lower bounds on the total variation distance away from Poisson of these processes. The results obtained are applied to new better than used and new worse than used renewal processes and to a Cox process with rates given by a two state Markov chain.