|Author||Penrose, Mathew D. ♦ Yukich, J. E.|
|Date of Submission||2009-11-02|
|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.|
|Learning Resource Type||Article|
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