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

Timothy C. Brown, B. G. Ivanoff and N. C. Weber

Stochastic Processes and their Applications, 1986, vol. 23, issue 2, 307-318

Abstract: 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.

Keywords: simple; point; process; Poisson; process; compensator; martingale; row; and; column; exchangeability (search for similar items in EconPapers)
Date: 1986
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