Gaussian limits for random measures in geometric probability
概率论
2007-05-23 v1
摘要
We establish Gaussian limits for general measures induced by binomial and Poisson point processes in d-dimensional space. The limiting Gaussian field has a covariance functional which depends on the density of the point process. The general results are used to deduce central limit theorems for measures induced by random graphs (nearest neighbor, Voronoi and sphere of influence graph), random sequential packing models (ballistic deposition and spatial birth-growth models) and statistics of germ-grain models.
引用
@article{arxiv.math/0503474,
title = {Gaussian limits for random measures in geometric probability},
author = {Yu. Baryshnikov and J. E. Yukich},
journal= {arXiv preprint arXiv:math/0503474},
year = {2007}
}
备注
Published at http://dx.doi.org/10.1214/105051604000000594 in the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org)