Partitions of point processes: Multivariate Poisson approximations
type: Item
instance of: scholarly article
title: Partitions of point processes: Multivariate Poisson approximations
zbMATH Open document ID: 0631.60049
DOI: 10.1016/0304-4149(85)90215-7
author: Richard F. Serfozo
published in: Stochastic Processes and their Applications
publication date: 1985-01-01T00:00:00Z
review text: This study shows that when a point process is partitioned into certain uniformly sparse subprocesses, then the subprocesses are asymptotically multivariate Poisson or compound Poisson. Bounds are given for the total variation distance between the subprocesses and their limits. Several partitioning rules are considered including independent, Markovian, and batch assignments of points.
Mathematics Subject Classification ID: 60G55
zbMATH DE Number: 4026465
zbMATH Keywords: compound Poisson point process
zbMATH Keywords: rare events
zbMATH Keywords: multivariate Poisson
zbMATH Keywords: total variation distance
zbMATH Keywords: batch assignments of points
MaRDI profile type: Publication
full work available at URL: 0304-4149(85)90215-7
OpenAlex ID: W2075989464
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description: scientific article; zbMATH DE number 4026465