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Asymptotic Moments of Near Neighbor Distances for the Gaussian Distribution


 
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1. Title Title of document Asymptotic Moments of Near Neighbor Distances for the Gaussian Distribution
 
2. Creator Author's name, affiliation, country Elia Liitiäinen; Aalto University; Finland
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) nearest neighbor; moments; gaussian; random geometry
 
3. Subject Subject classification 60D05
 
4. Description Abstract We study the moments of the k-th nearest neighbor distance for independent identically distributed points in $\mathbb{R}^n$. In the earlier literature, the case with power higher than n has been analyzed by assuming a bounded support for the underlying density. The boundedness assumption is removed by assuming the multivariate Gaussian distribution. In this case, the nearest neighbor distances show very different behavior in comparison to earlier results.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) The Emil Aaltonen Foundation
 
7. Date (YYYY-MM-DD) 2011-12-03
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ejp.ejpecp.org/article/view/969
 
10. Identifier Digital Object Identifier 10.1214/EJP.v16-969
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 16
 
12. Language English=en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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