Concentration of random polytopes around the expected convex hull
Probability
2014-03-11 v2 Functional Analysis
Abstract
We provide a streamlined proof and improved estimates for the weak multivariate Gnedenko law of large numbers on concentration of random polytopes within the space of convex bodies (in a fixed or a high dimensional setting), as well as a corresponding strong law of large numbers.
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Cite
@article{arxiv.1402.2718,
title = {Concentration of random polytopes around the expected convex hull},
author = {Daniel J. Fresen and Richard A. Vitale},
journal= {arXiv preprint arXiv:1402.2718},
year = {2014}
}
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9 pages