On the approximation of a ball by random polytopes

DOI10.2307/1427895zbMath0812.60017OpenAlexW4240688275MaRDI QIDQ4322084

Karl-Heinz Küfer

Publication date: 14 May 1995

Published in: Advances in Applied Probability (Search for Journal in Brave)

Full work available at URL: http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:hbz:386-kluedo-50509

zbMATH Keywords

stochastic approximationvarianceconvex hulllimiting distributionrandom polytope

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Related Items (10)

A concentration inequality for random polytopes, Dirichlet-Voronoi tiling numbers and the geometric balls and bins problem ⋮ Random points and lattice points in convex bodies ⋮ Concentration and moderate deviations for Poisson polytopes and polyhedra ⋮ On the variance of random polytopes ⋮ Random polytopes and the Efron-Stein jackknife inequality. ⋮ Variance asymptotics and central limit theorems for generalized growth processes with applications to convex hulls and maximal points ⋮ Intrinsic volumes of inscribed random polytopes in smooth convex bodies ⋮ Approximation of convex sets by polytopes ⋮ Asymptotic geometry of high-density smooth-grained Boolean models in bounded domains ⋮ Limit theorems for the typical Poisson-Voronoi cell and the Crofton cell with a large inradius

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