The expected volume of a tetrahedron whose vertices are chosen at random in the interior of a cube

DOI10.1007/s00605-002-0531-yzbMath1023.60016OpenAlexW1968344743MaRDI QIDQ1408509

Alessandro Zinani

Publication date: 23 September 2003

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-002-0531-y

zbMATH Keywords

convex hullSylvester's problemrandom approximation of convex setsvolume of random simplexvolume of random tetrahedron

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05)

Related Items (6)

Moments of volumes of lower-dimensional random simplices are not monotone ⋮ An algorithm to estimate the vertices of a tetrahedron from uniform random points inside ⋮ Random approximation of convex bodies: monotonicity of the volumes of random tetrahedra ⋮ Beyond the Efron-Buchta identities: distributional results for Poisson polytopes ⋮ Sylvester's problem for symmetric convex bodies and related problems ⋮ The multivariate Gini ratio

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