A multivariate Gnedenko law of large numbers

DOI10.1214/12-AOP804zbMath1293.60012arXiv1101.4887MaRDI QIDQ378786

Daniel J. Fresen

Publication date: 12 November 2013

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.4887

zbMATH Keywords

Hausdorff metricBanach-Mazur distancefloating bodyrandom polytopelog-concave measuremultivariate law of large numbers

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) (n)-dimensional polytopes (52B11) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Random convex sets and integral geometry (aspects of convex geometry) (52A22) Limit theorems in probability theory (60F99)

Related Items (7)

Convex bodies generated by sublinear expectations of random vectors ⋮ The floating body and the hyperplane conjecture ⋮ Concentration of the empirical level sets of Tukey's halfspace depth ⋮ Local continuity of log-concave projection, with applications to estimation under model misspecification ⋮ Halfspace depth and floating body ⋮ Estimation of convex supports from noisy measurements ⋮ Separation bodies: a conceptual dual to floating bodies

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