Limit laws for the diameter of a set of random points from a distribution supported by a smoothly bounded set

DOI10.1007/s10687-018-0309-9zbMath1432.60024arXiv1709.03706OpenAlexW2963286189WikidataQ130043029 ScholiaQ130043029MaRDI QIDQ2418003

Michael Schrempp

Publication date: 31 May 2019

Published in: Extremes (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.03706

zbMATH Keywords

Poisson processPearson type II distributionmaximum interpoint distancegeometric extreme value theoryuniform distribution in an ellipsoid

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Central limit and other weak theorems (60F05) Extreme value theory; extremal stochastic processes (60G70) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (3)

Limit laws for the diameter of a set of random points from a distribution supported by a smoothly bounded set ⋮ Large nearest neighbour balls in hyperbolic stochastic geometry ⋮ Asymptotic distribution of the maximum interpoint distance for high-dimensional data

Cites Work

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• Asymptotic distribution of the normal sample range
• Asymptotic distribution of the maximum interpoint distance in a sample of random vectors with a spherically symmetric distribution
• Limit theorems for diameter of a random sample in the unit ball
• The limit distribution of the largest interpoint distance from a symmetric Kotz sample
• Limit laws for the diameter of a set of random points from a distribution supported by a smoothly bounded set
• The diameter of an elliptical cloud
• The limit distribution of the largest interpoint distance for distributions supported by ad-dimensional ellipsoid and generalizations
• Limit laws for the diameter of a random point set

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