Beyond the Efron-Buchta identities: distributional results for Poisson polytopes

DOI10.1007/s00454-014-9649-7zbMath1320.60031arXiv1407.5792OpenAlexW1998823117MaRDI QIDQ2256593

Mareen Beermann, Matthias Reitzner

Publication date: 19 February 2015

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.5792

zbMATH Keywords

generating functionrandom polytopeEfron's identityPoisson polytope

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Related Items (5)

Unbiased estimation of the volume of a convex body ⋮ Inclusion-exclusion principles for convex hulls and the Euler relation ⋮ The duality of the volumes and the numbers of vertices of random polytopes ⋮ Introduction to Stochastic Geometry ⋮ Random polytopes and the wet part for arbitrary probability distributions

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