On the variance of random polygons

DOI10.1016/j.comgeo.2012.01.003zbMath1257.52003OpenAlexW1990862705MaRDI QIDQ691775

William Steiger, Imre Bárány

Publication date: 4 December 2012

Published in: Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.comgeo.2012.01.003

zbMATH Keywords

convex setsrandom polygonsvarianceseconomic cap covering

Mathematics Subject Classification ID

Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Related Items (3)

Variance bounds for disc-polygons ⋮ Variance estimates for random disc-polygons in smooth convex discs ⋮ Exact Formulae for Variances of Functionals of Convex Hulls

Cites Work

• Central limit theorems for random polygons in an arbitrary convex set
• Intrinsic volumes and f-vectors of random polytopes
• Random polytopes and the Efron-Stein jackknife inequality.
• On the variance of random polytopes
• Variance asymptotics and central limit theorems for generalized growth processes with applications to convex hulls and maximal points
• Central limit theorems for random polytopes
• Stochastic and Integral Geometry
• Convex bodies, economic cap coverings, random polytopes
• The directions of the line segments and of the r ‐dimensional balls on the boundary of a convex body in Euclidean space
• [https://portal.mardi4nfdi.de/wiki/Publication:5728818 �ber die konvexe H�lle von n zuf�llig gew�hlten Punkten]
• Complete Convergence and the Law of Large Numbers

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