Ensembles fermés aléatoires, ensembles semi-markoviens et polyèdres poissoniens
- 1 April 1972
- journal article
- research article
- Published by Cambridge University Press (CUP) in Advances in Applied Probability
- Vol. 4 (03) , 508-541
- https://doi.org/10.1017/s000186780003857x
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
This publication has 3 references indexed in Scilit:
- Poisson flats in Euclidean spaces Part II: Homogeneous Poisson flats and the complementary theoremAdvances in Applied Probability, 1971
- Poisson flats in Euclidean spaces Part I: A finite number of random uniform flatsAdvances in Applied Probability, 1969
- RANDOM POLYGONS DETERMINED BY RANDOM LINES IN A PLANEProceedings of the National Academy of Sciences, 1964