Partitions of point processes: Multivariate Poisson approximations (Q1094752)
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scientific article; zbMATH DE number 4026465
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Partitions of point processes: Multivariate Poisson approximations |
scientific article; zbMATH DE number 4026465 |
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Partitions of point processes: Multivariate Poisson approximations (English)
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1985
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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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compound Poisson point process
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rare events
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multivariate Poisson
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total variation distance
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batch assignments of points
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