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December 2016 The limit distribution of the largest interpoint distance for distributions supported by a d-dimensional ellipsoid and generalizations
Michael Schrempp
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Adv. in Appl. Probab. 48(4): 1256-1270 (December 2016).

Abstract

We study the asymptotic behaviour of the maximum interpoint distance of random points in a d-dimensional ellipsoid with a unique major axis. Instead of investigating only a fixed number of n points as n tends to ∞, we consider the much more general setting in which the random points are the supports of appropriately defined Poisson processes. Our main result covers the case of uniformly distributed points.

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Michael Schrempp. "The limit distribution of the largest interpoint distance for distributions supported by a d-dimensional ellipsoid and generalizations." Adv. in Appl. Probab. 48 (4) 1256 - 1270, December 2016.

Information

Published: December 2016
First available in Project Euclid: 24 December 2016

zbMATH: 1384.60044
MathSciNet: MR3595774

Subjects:
Primary: 60D05, 60F05
Secondary: 60G55, 60G70, 62E20

Rights: Copyright © 2016 Applied Probability Trust

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Vol.48 • No. 4 • December 2016
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