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Estimating the reduced moments of a random measure

Published online by Cambridge University Press:  01 July 2016

Kiên Kiêu  and
Marianne Mora
Kiên Kiêu
Affiliation:
Institut National de la Recherche Agronomique
Marianne Mora
Affiliation:
Uniuersité de Paris-X
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Extract

Random measures are commonly used to describe geometrical properties of random sets. Examples are given by the counting measure associated with a point process, and the curvature measures associated with a random set with a smooth boundary. We consider a random measure with an invariant distribution under the action of a standard transformation group (translatioris, rigid motions, translations along a given direction and so on). In the framework of the theory of invariant measure decomposition, the reduced moments of the random measure are obtained by decomposing the related moment measures.

Type
Stochastic Geometry and Statistical Applications
Information
Advances in Applied Probability , Volume 28 , Issue 2 , June 1996 , pp. 335 - 336
Copyright
Copyright © Applied Probability Trust 1996 

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References

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