Poisson convergence in two dimensions with application to row and column exchangeable arrays

A Poisson convergence theorem is given for a sequence of simple point processes on the plane. The approach taken here is to formulate sufficient conditions for Poisson convergence in terms of the behaviour of two one-dimensional compensators. This limit theorem is then applied to obtain a functional Poisson convergence result for a sequence of row and column exchangeable arrays.

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Year of publication:	1986
Authors:	Brown, Timothy C. ; Ivanoff, B. G. ; Weber, N. C.
Published in:	Stochastic Processes and their Applications. - Elsevier, ISSN 0304-4149. - Vol. 23.1986, 2, p. 307-318
Publisher:	Elsevier
Keywords:	simple point process Poisson process compensator martingale row and column exchangeability

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10008874690