Fine Gaussian fluctuations on the Poisson space II: rescaled kernels, marked processes and geometric U-statistics
Probability
2012-06-04 v2
Abstract
Continuing the analysis initiated in Lachi\'eze-Rey and Peccati (2011), we use contraction operators to study the normal approximation of random variables having the form of a U-statistic written on the points in the support of a random Poisson measure. Applications are provided: to boolean models, and coverage of random networks.
Keywords
Cite
@article{arxiv.1205.0632,
title = {Fine Gaussian fluctuations on the Poisson space II: rescaled kernels, marked processes and geometric U-statistics},
author = {Raphael Lachieze-Rey and Giovanni Peccati},
journal= {arXiv preprint arXiv:1205.0632},
year = {2012}
}