Partitions of point processes: Multivariate poisson approximations |
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| Authors: | Richard F Serfozo |
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| Institution: | Georgia Institute of Technology, Atlanta, GA 30332-0206, USA |
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| 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. |
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| Keywords: | compound Poisson point processes thin multivariate point processes rare events total-variation distance |
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