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arXiv · 1402.2718

Concentration of random polytopes around the expected convex hull

Daniel J. Fresen·Richard A. Vitale
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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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Daniel J. Fresen, Richard A. Vitale. 2014-02-12. Concentration of random polytopes around the expected convex hull. https://arxiv.org/abs/1402.2718

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