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The limit distribution of the largest interpoint distance for distributions supported by ad-dimensional ellipsoid and generalizations
Published online by Cambridge University Press: 11 January 2017
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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- Copyright © Applied Probability Trust 2017
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