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

Author

Listed:
  • Brown, Timothy C.
  • Ivanoff, B. G.
  • Weber, N. C.

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.

Suggested Citation

  • Brown, Timothy C. & Ivanoff, B. G. & Weber, N. C., 1986. "Poisson convergence in two dimensions with application to row and column exchangeable arrays," Stochastic Processes and their Applications, Elsevier, vol. 23(2), pages 307-318, December.
    • Handle: RePEc:eee:spapps:v:23:y:1986:i:2:p:307-318
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    Cited by:

    1. Schoenberg, Frederic, 1999. "Transforming spatial point processes into Poisson processes," Stochastic Processes and their Applications, Elsevier, vol. 81(2), pages 155-164, June.

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