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Multidimensional point processes and random closed sets

Published online by Cambridge University Press:  14 July 2016

Michel Baudin
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Abstract

Multidimensional random point processes are shown to be a special case of Matheron's random closed sets. This theory, and in particular Choquet's theorem, are then used to prove a general result on heterogeneous Poisson processes and a uniqueness property of mixed Poisson processes with gamma mixing distributions.

Keywords

CHOQUET'S CAPACITY THEOREM
Type
Short Communications
Information
Journal of Applied Probability , Volume 21 , Issue 1 , March 1984 , pp. 173 - 178
Copyright
Copyright © Applied Probability Trust 1984 

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References

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