Laws of large numbers and nearest neighbor distances Export

@article{citeulike:6060465, 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.}, archivePrefix = {arXiv}, author = {Penrose, Mathew D. and Yukich, J. E.}, citeulike-article-id = {6060465}, citeulike-linkout-0 = {http://arxiv.org/abs/0911.0331}, citeulike-linkout-1 = {http://arxiv.org/pdf/0911.0331}, day = {2}, eprint = {0911.0331}, keywords = {entropy, nearest-neighbour, statistics}, month = {Nov}, posted-at = {2009-11-03 15:14:53}, priority = {2}, title = {Laws of large numbers and nearest neighbor distances}, url = {http://arxiv.org/abs/0911.0331}, year = {2009} }

TY - JOUR ID - citeulike:6060465 L3 - citeulike-article-id:6060465 N2 - 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. TI - Laws of large numbers and nearest neighbor distances KW - entropy KW - nearest-neighbour KW - statistics AU - Penrose, Mathew AU - Yukich, JE PY - 2009/Nov/02/ UR - http://arxiv.org/abs/0911.0331 ER -