Poisson convergence in two dimensions with application to row and column exchangeable arrays
type: Item
instance of: scholarly article
title: Poisson convergence in two dimensions with application to row and column exchangeable arrays
zbMATH Open document ID: 0614.60046
DOI: 10.1016/0304-4149(86)90044-X
author: Timothy C. Brown
author: B. Gail Ivanoff
author: Neville Weber
published in: Stochastic Processes and their Applications
publication date: 1986-01-01T00:00:00Z
review text: The behaviour of a simple point process on the plane can be described by studying two associated compensators (dual predictable projections). The main result of the paper using this principle is a Poisson convergence theorem for a sequence of simple point processes in the plane. Sufficient conditions for the convergence to a Poisson process are given in terms of the behaviour of the two sequences of compensators. One application is a functional Poisson convergence result for a sequence of row and column exchangeable arrays.
Mathematics Subject Classification ID: 60G55
Mathematics Subject Classification ID: 60F17
Mathematics Subject Classification ID: 60G44
zbMATH DE Number: 3994664
zbMATH Keywords: convergence theorem for a sequence of simple point processes
zbMATH Keywords: convergence to a Poisson process
zbMATH Keywords: sequences of compensators
zbMATH Keywords: exchangeable arrays
reviewed by: Egbert Dettweiler
MaRDI profile type: Publication
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full work available at URL: 0304-4149(86)90044-x
OpenAlex ID: W1993653071
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description: scientific article; zbMATH DE number 3994664