Partitions of Point Processes: Multivariate Poisson Approximations.
GEORGIA INST OF TECH ATLANTA
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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. Additional keywords Weak convergence Theorems. Author
- Statistics and Probability