Almost Sure Central Limit Theorems in Stochastic Geometry
Probability
2019-12-16 v1
Abstract
We prove an almost sure central limit theorem on the Poisson space, which is perfectly tailored for stabilizing functionals emerging in stochastic geometry. As a consequence, we provide almost sure central limit theorems for the total edge length of the -nearest neighbors random graph, the clique count in random geometric graphs, the volume of the set approximation via the Poisson-Voronoi tessellation.
Cite
@article{arxiv.1912.06503,
title = {Almost Sure Central Limit Theorems in Stochastic Geometry},
author = {Giovanni-Luca Torrisi and Emilio Leonardi},
journal= {arXiv preprint arXiv:1912.06503},
year = {2019}
}