Expectation of intrinsic volumes of random polytopes

DOI10.1007/s10998-008-8143-4zbMath1265.52004OpenAlexW2109653049MaRDI QIDQ1046802

Daniel Hug, Lars Michael Hoffmann, Károly jun. Böröczky

Publication date: 29 December 2009

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10998-008-8143-4

zbMATH Keywords

approximationrandom polytopeintrinsic volumeexpectationconvolution bodycap covering

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Related Items

Best and random approximation of a convex body by a polytope, Uniform behaviors of random polytopes under the Hausdorff metric, Introduction to Stochastic Geometry, Approximation and convergence of the intrinsic volume, An intrinsic volume metric for the class of convex bodies in ℝn, The convex hull of random points on the boundary of a simple polytope, Concentration and moderate deviations for Poisson polytopes and polyhedra, Methods for estimation of convex sets, Asymptotic normality for random polytopes in non-Euclidean geometries, Intrinsic volumes of random polytopes with vertices on the boundary of a convex body

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