On connected component Markov point processes
We note some interesting properties of the class of point processes which are Markov with respect to the `connected component' relation. Results in the literature imply that this class is closed under random translation and independent cluster generation with almost surely non-empty clusters. We further prove that it is closed under superposition. A wide range of examples is also given.
Permanent link to this document: http://projecteuclid.org/euclid.aap/1029955135
Digital Object Identifier: doi:10.1239/aap/1029955135
Mathematical Reviews number (MathSciNet): MR1724552
Zentralblatt MATH identifier: 0953.60033