Random polytopes: central limit theorems for intrinsic volumes
Metric Geometry
2017-11-06 v3 Probability
Abstract
Short and transparent proofs of central limit theorems for intrinsic volumes of random polytopes in smooth convex bodies are presented. They combine different tools such as estimates for floating bodies with Stein's method from probability theory.
Cite
@article{arxiv.1702.01069,
title = {Random polytopes: central limit theorems for intrinsic volumes},
author = {Christoph Thaele and Nicola Turchi and Florian Wespi},
journal= {arXiv preprint arXiv:1702.01069},
year = {2017}
}
Comments
We fixed a mistake from the first version of this article