Hostname: page-component-cd9895bd7-8ctnn Total loading time: 0 Render date: 2024-12-25T08:01:00.335Z Has data issue: false hasContentIssue false
  • English
  • Français

On the equivalence of certain truncated point processes

Published online by Cambridge University Press:  14 July 2016

Pedro Vit
Pedro Vit*
Affiliation:
CIMAS, Universidad Nacional Autónoma de México
Get access Rights & Permissions [Opens in a new window]

Abstract

A truncated point process is defined in terms of a point process and a truncation mechanism independent of the process. The equivalence between two different types of truncation is shown, where the truncations occur after a geometric number of events have occurred or after an exponential time has elapsed, some examples are given.

Keywords

FINITE POINT PROCESSESEQUIVALENCE OF FINITE POINT PROCESSESTRUNCATED POINT PROCESSESEXPONENTIAL TRUNCATION OF A POINT PROCESSGEOMETRIC TRUNCATION OF A POINT PROCESS
Type
Short Communications
Information
Journal of Applied Probability , Volume 11 , Issue 3 , September 1974 , pp. 601 - 604
Copyright
Copyright © Applied Probability Trust 1974 

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.)

References

Daley, D. J. and Vere-Jones, D. (1972) A summary of the theory of point processes. In Stochastic Point Processes: Statistical Analysis, Theory and Applications. Ed. Lewis, Peter A. John Wiley, New York.Google Scholar