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Infinite intensity mixtures of point processes

Published online by Cambridge University Press:  24 October 2008

D. J. Daley
D. J. Daley
Affiliation:
Australian National University
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Abstract

Let the stationary point process N(·) be the mixture of scaled versions of a stationary orderly point process N1(·) of unit intensity with mixing distribution G(·), so that

With

N(·) has finite or infinite intensity as is finite or infinite, and it is Khinchin orderly when the function γ(·) is slowly varying at infinity. Conditions for N(·) to be orderly involve both G(·) and the Palm distribution of N1(·).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 92 , Issue 1 , July 1982 , pp. 109 - 114
Copyright
Copyright © Cambridge Philosophical Society 1982

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References

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