The problem of estimating $\operatorname{Prob}(X(B) \leq x)$ for large regions $B \subset \mathbb{R}^d$ when $X$ is a random measure is solved under a condition of positive dependence and summable correlations. Several applications are given and, in cases in which the applications have been examined previously, it is shown that the results are true under milder moment conditions than known before.
Publié le : 1985-11-14
Classification:
Association,
random measure,
point random field,
central limit theorem,
60G57,
60F05
@article{1176992810,
author = {Burton, Robert and Waymire, Ed},
title = {Scaling Limits for Associated Random Measures},
journal = {Ann. Probab.},
volume = {13},
number = {4},
year = {1985},
pages = { 1267-1278},
language = {en},
url = {http://dml.mathdoc.fr/item/1176992810}
}
Burton, Robert; Waymire, Ed. Scaling Limits for Associated Random Measures. Ann. Probab., Tome 13 (1985) no. 4, pp. 1267-1278. http://gdmltest.u-ga.fr/item/1176992810/