Concentration of random polytopes around the expected convex hull

DOI10.1214/ECP.v19-3376zbMath1314.60044arXiv1402.2718MaRDI QIDQ457818

Richard A. Vitale, Daniel J. Fresen

Publication date: 29 September 2014

Published in: Electronic Communications in Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.2718

zbMATH Keywords

law of large numbersfloating bodyrandom polytopelog-concaveexpected convex hull

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Central limit and other weak theorems (60F05) (n)-dimensional polytopes (52B11) Strong limit theorems (60F15) Approximation by convex sets (52A27) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Random convex sets and integral geometry (aspects of convex geometry) (52A22) Asymptotic theory of convex bodies (52A23)

Related Items (4)

Convex bodies generated by sublinear expectations of random vectors ⋮ Uniform behaviors of random polytopes under the Hausdorff metric ⋮ Depth and outliers for samples of sets and random sets distributions ⋮ Methods for estimation of convex sets

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