Properties of the bivariate delayed Poisson process
By: by A. J. Lawrence, P. A. W. Lewis
Contributors: Lewis, Peter A. W.; Naval Postgraduate School (U.S.)
Publisher: Naval Postgraduate School
Published: 1974
Place of publication: Monterey, California
Language: eng
Number of pages: 25
Subjects: Poisson distribution; Mathematical statistics
Description: 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.
Notes: Title from cover.

"NPS-55Lw74071"--Cover.

"July 1974"--Cover.

"Prepared for: Chief of Naval Research, Arlington, Virginia 22217."

Includes bibliographical references (p. 17).

"Approved for public release; distribution is unlimited"--Cover.

Technical report; 1974.

ck/ 7/30/09.