Limit laws for the diameter of a random point set
2002en
ABI
Abstract
Let U 1 , U 2 ,… be a sequence of i.i.d. random vectors distributed uniformly in a compact plane region A of unit area. Sufficient conditions on the geometry of A are provided under which the Euclidean diameter D n of the first n of the points converges weakly upon suitable rescaling.
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Citations and references
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