Partitions of Point Processes: Multivariate Poisson Approximations.

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)

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1985
Accession Number
ADA158739

Entities

People

  • R. F. Serfozo

Organizations

  • Georgia Tech

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Abstracts
  • Classification
  • Convergence
  • Inequalities
  • Markov Chains
  • New York
  • Numbers
  • Probability
  • Random Variables
  • Real Numbers
  • Security
  • Stationary
  • Stochastic Processes
  • Theorems
  • Three Dimensional
  • Weak Convergence

Fields of Study

  • Mathematics

Readers

  • Computational Modeling and Simulation
  • Statistical inference.