Accession Number:

ADA158739

Title:

Partitions of Point Processes: Multivariate Poisson Approximations.

Descriptive Note:

Technical rept.,

Corporate Author:

GEORGIA INST OF TECH ATLANTA

Personal Author(s):

Report Date:

1985-05-01

Pagination or Media Count:

25.0

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. Additional keywords Weak convergence Theorems. Author

Subject Categories:

  • Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE