An identity relating moments of functionals of convex hulls
From MaRDI portal
Publication:1764174
DOI10.1007/s00454-004-1109-3zbMath1065.52003OpenAlexW2069472046MaRDI QIDQ1764174
Publication date: 23 February 2005
Published in: Discrete \& Computational Geometry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00454-004-1109-3
Geometric probability and stochastic geometry (60D05) Random convex sets and integral geometry (aspects of convex geometry) (52A22) Combinatorial complexity of geometric structures (52C45)
Related Items (25)
On joint probability distribution of the number of vertices and area of the convex hulls generated by a Poisson point process ⋮ Convex Hulls of Uniform Samples from a Convex Polygon ⋮ Recurrence relationships for the mean number of faces and vertices for random convex hulls ⋮ Inclusion-exclusion principles for convex hulls and the Euler relation ⋮ Variance expansion and Berry-Esseen bound for the number of vertices of a random polygon in a polygon ⋮ The duality of the volumes and the numbers of vertices of random polytopes ⋮ Limit theory for the first layers of the random convex hull peeling in the unit ball ⋮ Asymptotics of the convex hull of spherically symmetric samples ⋮ Random points and lattice points in convex bodies ⋮ Deviation inequalities for random polytopes in arbitrary convex bodies ⋮ On the variance of random polytopes ⋮ Variance asymptotics for random polytopes in smooth convex bodies ⋮ Random polytopes and the Efron-Stein jackknife inequality. ⋮ Extension of Deltheil's study on random points in a convex quadrilateral ⋮ Methods for estimation of convex sets ⋮ Exact Formulae for Variances of Functionals of Convex Hulls ⋮ Beyond the Efron-Buchta identities: distributional results for Poisson polytopes ⋮ Random convex hulls: a variance revisited ⋮ A fast algorithm to sample the number of vertexes and the area of the random convex hull on the unit square ⋮ The Exact Distribution of the Number of Vertices of a Random Convex Chain ⋮ The combinatorial structure of random polytopes ⋮ Poisson polytopes ⋮ Mean width of random polytopes in a reasonably smooth convex body ⋮ Cones generated by random points on half-spheres and convex hulls of Poisson point processes ⋮ Central limit theorems for random polytopes
This page was built for publication: An identity relating moments of functionals of convex hulls