Central limit theorems for random polygons in an arbitrary convex set

DOI10.1214/10-AOP568zbMath1221.52011arXiv1003.4209OpenAlexW3104015669WikidataQ60205207 ScholiaQ60205207MaRDI QIDQ533742

John Pardon

Publication date: 6 May 2011

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.4209

zbMATH Keywords

central limit theoremPoisson point processrandom polygons

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Central limit and other weak theorems (60F05) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

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Cites Work

• Central limit theorems for uniform model random polygons
• Central limit theorems for random polytopes in a smooth convex set
• Poisson polytopes
• Limit theorems for convex hulls
• On the asymptotic distribution of the area outside a random convex hull in a disk
• Limit theorems for functionals of convex hulls
• On the mean value of the volume of a random polytope in a convex set
• On the variance of random polytopes
• Central limit theorems for random polytopes
• Convex bodies, economic cap coverings, random polytopes
• [https://portal.mardi4nfdi.de/wiki/Publication:5331598 �ber die konvexe H�lle von n zuf�llig gew�hlten Punkten. II]
• [https://portal.mardi4nfdi.de/wiki/Publication:5728818 �ber die konvexe H�lle von n zuf�llig gew�hlten Punkten]
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