Point Processes in the Plane.

Abstract

Two-parameter point processes are studied in connection with martingale theory and with respect to the partial-order induced by the Cartesian coordinates of the plane. Point processes are characterized by jump stopping times and by their two-parameter compensators. Properties of the doubly stochastic Poisson process, as predictability, are discussed. A definition for the Palm measure of a two-parameter stationary point process is proposed.

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1987
Accession Number
ADA186017

Entities

People

  • Ely Merzbach

Organizations

  • University of North Carolina at Chapel Hill

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Cartesian Coordinates
  • Compensators
  • Data Science
  • Filtration
  • Geometry
  • Information Science
  • Intensity
  • Mathematics
  • Probability
  • Quadrants
  • Random Variables
  • Stationary
  • Statistical Analysis
  • Statistics
  • Stochastic Processes
  • Surveys
  • Theorems

Fields of Study

  • Mathematics

Readers

  • Control Systems Engineering.
  • Mathematical Modeling and Probability Theory.