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Name: Fillable Online Partitions of Point Processes: Multivariate Poisson Approximations Fax Email Print - pdfFiller
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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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