Random polytopes in a ball

DOI10.2307/3213693zbMath0552.60006OpenAlexW2323065928MaRDI QIDQ3345486

Christian Buchta, Josef S. Müller

Publication date: 1984

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

Full work available at URL: https://doi.org/10.2307/3213693

zbMATH Keywords

convex polytopeconvex hull of n random points

Mathematics Subject Classification ID

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

Related Items (18)

On a conjecture of R. E. Miles about the convex hull of random points ⋮ Random polytopes in the d-dimensional cube ⋮ On the shape of the convex hull of random points ⋮ Unnamed Item ⋮ On the mean width of random polytopes ⋮ Uniform behaviors of random polytopes under the Hausdorff metric ⋮ On expected face numbers of random beta and beta' polytopes ⋮ Deviation inequalities for random polytopes in arbitrary convex bodies ⋮ Concentration and moderate deviations for Poisson polytopes and polyhedra ⋮ Expected intrinsic volumes and facet numbers of random beta‐polytopes ⋮ Angles of random simplices and face numbers of random polytopes ⋮ Recursive scheme for angles of random simplices, and applications to random polytopes ⋮ The expected mean width of a random polytope associated with a ball ⋮ Beyond the Efron-Buchta identities: distributional results for Poisson polytopes ⋮ The combinatorial structure of random polytopes ⋮ Approximation of a ball by random polytopes ⋮ Large deviation probabilities for the number of vertices of random polytopes in the ball ⋮ Stochastical approximation of convex bodies

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