Hostname: page-component-6bb9c88b65-vpjdr Total loading time: 0 Render date: 2025-07-26T21:52:24.110Z Has data issue: false hasContentIssue false
  • English
  • Français

The spectrum of intervals of a geometric branching poisson process

Published online by Cambridge University Press:  14 July 2016

D. C. Gilles  and
P. A. W. Lewis
D. C. Gilles
Affiliation:
Computing Laboratory, University of Glasgow
P. A. W. Lewis
Affiliation:
IBM Research Laboratory, Yorktown Heights, New York
Get access Rights & Permissions [Opens in a new window]

Abstract

A summation formula is given for computing the spectrum of intervals of a geometric branching Poisson process from the cumulant generating function of the associated counting process.

Information

Type
Short Communications
Information
Journal of Applied Probability , Volume 4 , Issue 1 , November 1967 , pp. 201 - 205
Copyright
Copyright © Applied Probability Trust 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable

References

[1] Cox, D. R. and Lewis, P. A. W. (1966) The Statistical Analysis of Series of Events. Methuen, London, and Wiley, New York.Google Scholar
[2] Lewis, P. A. W. (1964a) A branching Poisson process model from the analysis of computer failure patterns. J. R. Statist. Soc. B 26, 398–456.Google Scholar
[3] Lewis, P. A. W. (1964b) The implications of a failure model for the use and maintenance of computers. J. Appl. Prob. 1, 347–368.Google Scholar
[4] Lewis, T. (1961) The intervals between regular events displaced in time by independent random deviations of large dispersion. J. R. Statist. Soc. B 23, 476–483.Google Scholar