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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
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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 

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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