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Partitions of point processes: Multivariate poisson approximations

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  • Serfozo, Richard F.

Abstract

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.

Suggested Citation

  • Serfozo, Richard F., 1985. "Partitions of point processes: Multivariate poisson approximations," Stochastic Processes and their Applications, Elsevier, vol. 20(2), pages 281-294, September.
    • Handle: RePEc:eee:spapps:v:20:y:1985:i:2:p:281-294
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