Asymptotic normality of the number of small distances between random points in a cube

Draw n random points from a cube, and consider the number of distances smaller than r between those points. When n --> [infinity], r --> 0 simultaneously, and within certain relations to each other, this number is seen to be asymptotically normal.

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Year of publication:	1975
Authors:	Kester, Adri
Published in:	Stochastic Processes and their Applications. - Elsevier, ISSN 0304-4149. - Vol. 3.1975, 1, p. 45-54
Publisher:	Elsevier

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10008874254