Distribution-independent properties of the convex hull of random points

DOI10.1007/BF01061259zbMath0697.60016MaRDI QIDQ911138

Christian Buchta

Publication date: 1990

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

zbMATH Keywords

Bernoulli numbersrandom polytopemoment functionalgeometric probabilityconvex hull of random points

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05)

Related Items (6)

Recurrence relationships for the mean number of faces and vertices for random convex hulls ⋮ Inclusion-exclusion principles for convex hulls and the Euler relation ⋮ On the variance of the number of extreme points of a random convex hull ⋮ Angles of random simplices and face numbers of random polytopes ⋮ Identities linking volumes of convex hulls ⋮ A remark on Hermite-Lagrange interpolation

Cites Work

• Unnamed Item
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• Intrinsic volumes and f-vectors of random polytopes
• Generalization of a formula of C. Buchta about the convex hull of random points
• An explicit formula about the convex hull of random points
• On a conjecture of R. E. Miles about the convex hull of random points
• Hermite-Lagrange interpolation and Schur's expansion of sin \(\pi\) x
• On the convex hull of uniform random points in a simple \(d\)-polytope
• Zufallspolygone in konvexen Vielecken.
• Random approximation of convex sets*
• [https://portal.mardi4nfdi.de/wiki/Publication:5331598 �ber die konvexe H�lle von n zuf�llig gew�hlten Punkten. II]
• Limiting convex hulls of samples: Theory and function space examples

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