The limit distribution of the largest interpoint distance for distributions supported by ad-dimensional ellipsoid and generalizations

DOI10.1017/APR.2016.73zbMath1384.60044OpenAlexW2562814894MaRDI QIDQ2963693

Michael Schrempp

Publication date: 21 February 2017

Published in: Advances in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.aap/1482548437

zbMATH Keywords

Poisson processmaximum interpoint distancegeometric extreme value theoryuniform distribution in an ellipsoid

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) 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 ⋮ The mathematical physics of rainbows and glories ⋮ Asymptotic distribution of the maximum interpoint distance for high-dimensional data

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