Notes on Random Measures and Point Processes.

Abstract

Conditions are given for the existence of point processes and random measures in locally compact, second countable spaces. Characteristic functionals and weak convergence are discussed in the vague topology as well as Skorohod topology. The Poisson process and completely random measures are characterized. Necessary and sufficient conditions for the weak convergence of superpositions of independent point processes to a Poisson process are proved. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 06, 1973
Accession Number
AD0763675

Entities

People

  • Peter Jagers

Organizations

  • Stanford University

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Convergence
  • Topology
  • Weak Convergence

Fields of Study

  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.

Technology Areas

  • Space