Accession Number:

ADA003892

Title:

Properties of the Bivariate Delayed Poisson Process

Descriptive Note:

Technical rept.

Corporate Author:

NAVAL POSTGRADUATE SCHOOL MONTEREY CA

Personal Author(s):

Report Date:

1974-07-01

Pagination or Media Count:

20.0

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.

Subject Categories:

  • Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE