Ensembles fermés aléatoires, ensembles semi-markoviens et polyèdres poissoniens
- 1 December 1972
- journal article
- Published by Cambridge University Press (CUP) in Advances in Applied Probability
- Vol. 4 (3) , 508-541
- https://doi.org/10.2307/1425992
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
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