Markov properties of cluster processes
نویسندگان
چکیده
منابع مشابه
Markov properties of cluster
We show that a Poisson cluster point process is a nearest-neighbour Markov point process 2] if the clusters have uniformly bounded diameter. It is typically not a nite-range Markov point process in the sense of Ripley and Kelly 12]. Furthermore, when the parent Poisson process is replaced by a Markov or nearest-neighbour Markov point process, the resulting cluster process is also nearest-neighb...
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ژورنال
عنوان ژورنال: Advances in Applied Probability
سال: 1996
ISSN: 0001-8678,1475-6064
DOI: 10.1017/s0001867800048503