The Law of the Iterated Logarithm for the Total Length of the Nearest Neighbor Graph

Author： Kim Younghoon   Lee Sungchul   Lin Zhengyan  

Publisher： Springer Publishing Company

ISSN： 0894-9840

Source： Journal of Theoretical Probability, Vol.17, Iss.1, 2004-01, pp. : 245-260

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Abstract

Let {\cal p}_n be the Poisson point process with intensity 1 in [−n,n]d. We prove the law of the iterated logarithm for the total length of the nearest neighbor graph on {\cal p}_n.

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