Bounds on the Mean Power-Weighted Nearest Neighbour Distance
Abstract
In This Paper, Bounds on the Mean Power-Weighted Nearest Neighbour Distance Are Derived. Previous Work Concentrates Mainly on the Infinite Sample Limit, Whereas Our Bounds Hold for Any Sample Size. the Results Are Expected to Be of Importance, for Example in Statistical Physics, Non-Parametric Statistics and Computational Geometry, Where They Are Related to the Structure of Matter as Well as Properties of Statistical Estimators and Random Graphs. © 2008 the Royal Society.
Recommended Citation
E. Liitiäinen et al., "Bounds on the Mean Power-Weighted Nearest Neighbour Distance," Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 464, no. 2097, pp. 2293 - 2301, The Royal Society, Sep 2008.
The definitive version is available at https://doi.org/10.1098/rspa.2007.0234
Department(s)
Engineering Management and Systems Engineering
Keywords and Phrases
Bounds; Nearest neighbour distances; Random graphs
International Standard Serial Number (ISSN)
1471-2946; 1364-5021
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2024 The Royal Society, All rights reserved.
Publication Date
08 Sep 2008
