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Research Article Open access CC BY 4.0

Bounds on the Expected Nearest Neighbor Distance

Mohamed M. Rizk

Journal of Advances in Mathematics and Computer Science · pp. 297–306 · Published 9 Jan 2015

10.9734/BJMCS/2015/15152

Abstract

This paper found upper and lower bounds on the expected nearest neighbor distance for distributions having unbounded supports (-∞,∞) and induced lower and upper bounds for logistic and Laplace distributions, as typical. Then we found the risk of nearest neighbor of their distributions.

Nearest neighbor classification expected nearest neighbor distance logistic distribution Laplace’s distribution

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