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Author Penrose, Mathew D. ♦ Yukich, J. E.
Source arXiv.org
Content type Text
File Format PDF
Date of Submission 2009-11-02
Language English
Subject Domain (in DDC) Natural sciences & mathematics ♦ Mathematics
Subject Keyword Mathematics - Probability ♦ 60D05 ♦ 60F25 ♦ math
Abstract We consider the sum of power weighted nearest neighbor distances in a sample of size n from a multivariate density f of possibly unbounded support. We give various criteria guaranteeing that this sum satisfies a law of large numbers for large n, correcting some inaccuracies in the literature on the way. Motivation comes partly from the problem of consistent estimation of certain entropies of f.
Educational Use Research
Learning Resource Type Article
Page Count 15


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