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2014 Concentration of random polytopes around the expected convex hull
Daniel Fresen, Richard Vitale
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Electron. Commun. Probab. 19: 1-8 (2014). DOI: 10.1214/ECP.v19-3376

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 Fresen. Richard Vitale. "Concentration of random polytopes around the expected convex hull." Electron. Commun. Probab. 19 1 - 8, 2014. https://doi.org/10.1214/ECP.v19-3376

Information

Accepted: 26 August 2014; Published: 2014
First available in Project Euclid: 7 June 2016

zbMATH: 1314.60044
MathSciNet: MR3254738
Digital Object Identifier: 10.1214/ECP.v19-3376

Subjects:
Primary: 60D05
Secondary: 52A20 , 52A22 , 52A23 , 52B11 , 53A27 , 60F05 , 60F15

Keywords: expected convex hull , floating body , Law of Large Numbers , log-concave , random polytope

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