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An invariance property of Poisson processes

Published online by Cambridge University Press:  14 July 2016

Mark Brown
Mark Brown*
Affiliation:
Cornell University
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Extract

In this paper we shall investigate point processes generated by random variables of the form 〈gi(Ti]), i=± 1, ± 2, … 〉, where 〈Ti, i= ± 1, … 〉 is the set of arrival times from a (not necessarily homogeneous) Poisson process or mixture of Poisson processes, and 〈gi, i = ± 1, … 〉 is an independently and identically distributed (i.i.d.) or interchangeable sequence of random functions, independent of 〈Ti〉.

Type
Short Communications
Information
Journal of Applied Probability , Volume 6 , Issue 2 , August 1969 , pp. 453 - 458
Copyright
Copyright © Sheffield: Applied Probability Trust 

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References

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