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Biometrika 1980 67(2):466-469; doi:10.1093/biomet/67.2.466
© 1980 by Biometrika Trust
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MISCELLANEA

Further bounds for the distribution of minimum interpoint distance on a sphere

DAVID J. GATES and MARK WESTCOTT

CSIRO Division of Mathematics and Statistics Canberra

Consider N points distributed independently and uniformly on the surface of a sphere. Improved upper and lower bounds are given for the distribution of the minimum interpoint angular distance.

Key Words: Nearest neighbour • Points on a sphere • Statistical mechanics.


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