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Ensembles fermés aléatoires, ensembles semi-markoviens et polyèdres poissoniens

Published online by Cambridge University Press:  01 July 2016

G. Matheron
G. Matheron*
Affiliation:
Centre de Morphologie Mathématique, Fontainebleau
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Abstract

Random set theory is closely connected with integral geometry. After a general description, based upon the Choquet theorem, the semi-Markovian property is defined and characterized in terms of integral geometry. Applications are made to Poisson polytopes characterized by conditional invariance properties.

Keywords

RANDOM CLOSED SETSSEMI-MARKOVIAN SETSBOOLEAN SCHEMESPOISSON POLYTOPES

Information

Type
Research Article
Information
Advances in Applied Probability , Volume 4 , Issue 3 , December 1972 , pp. 508 - 541
Copyright
Copyright © Applied Probability Trust 1972 

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References

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