Prekopa's theorem gives a qualitative sufficient condition for a completely random point process to be Poisson. A generalization of this theorem is presented. The proof is elementary and uses a combinatorial principle known as Ramsey's theorem.
Publié le : 1983-11-14
Classification:
Poisson random measures,
Prekopa's theorem,
Ramsey's theorem,
60G57,
05C55
@article{1176993440,
author = {Brown, Timothy C. and Kupka, Joseph},
title = {Ramsey's Theorem and Poisson Random Measures},
journal = {Ann. Probab.},
volume = {11},
number = {4},
year = {1983},
pages = { 904-908},
language = {en},
url = {http://dml.mathdoc.fr/item/1176993440}
}
Brown, Timothy C.; Kupka, Joseph. Ramsey's Theorem and Poisson Random Measures. Ann. Probab., Tome 11 (1983) no. 4, pp. 904-908. http://gdmltest.u-ga.fr/item/1176993440/