Properties of the Bivariate Delayed Poisson Process

Abstract

The bivariate Poisson point process introduced in Cox and Lewis (1972), and there called the bivariate delayed Poisson process, is studied further; the process arises from pairs of delays on the events of a Poisson process. In particular, results are obtained for the stationary initial conditions, the joint distribution of the number of operative delays at an arbitrary time, the asynchronous counting distribution, and two semi-synchronous interval distributions. The joint delay distribution employed allows for dependence and two-sided delays, but the model retains the independence between different pairs of delays.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1974
Accession Number
ADA003892

Entities

People

  • A. J. Lawrence
  • P. W. Lewis

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Covariance
  • Data Science
  • Equations
  • Information Science
  • Intervals
  • Military Research
  • New York
  • Probability
  • Random Variables
  • Security
  • Stationary
  • Stationary Processes
  • Statistical Analysis
  • Statistics
  • Three Dimensional

Fields of Study

  • Mathematics

Readers

  • Applied Combinatorial Optimization and Logic Circuit Design.
  • Mathematical Modeling and Probability Theory.
  • Regression Analysis.