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Ensembles fermés aléatoires, ensembles semi-markoviens et polyèdres poissoniens

Published online by Cambridge University Press:  01 July 2016

G. Matheron*
Centre de Morphologie Mathématique, Fontainebleau


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.

Research Article
Copyright © Applied Probability Trust 1972 

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