Normal approximation for coverage models over binomial point processes
Probability
2010-09-30 v3
Abstract
We give error bounds which demonstrate optimal rates of convergence in the CLT for the total covered volume and the number of isolated shapes, for germ-grain models with fixed grain radius over a binomial point process of points in a toroidal spatial region of volume . The proof is based on Stein's method via size-biased couplings.
Keywords
Cite
@article{arxiv.0812.3084,
title = {Normal approximation for coverage models over binomial point processes},
author = {Larry Goldstein and Mathew D. Penrose},
journal= {arXiv preprint arXiv:0812.3084},
year = {2010}
}
Comments
Published in at http://dx.doi.org/10.1214/09-AAP634 the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org)