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Distance Mean and Variance Functions and Sphere Fitting

 

作者: J. Gates,  

 

期刊: Statistics  （Taylor Available online 1994）
卷期: Volume 25, issue 3  

页码: 251-266

 

ISSN:0233-1888

 

年代: 1994

 

DOI:10.1080/02331889408802449

 

出版商: Gordon & Breach Science Publishers

 

关键词: AMS 1980 subject classification;62E;62F;Circle fitting;distance mean and variance functions;sphericity;coefficient

 

数据来源: Taylor

 

摘要:

Motivated by circle fitting to spatial distributions, this paper looks at the relationship between the expected distance function and the radial density. Inversion of this relationship is given simply in dimensions 1 and 3 and generally by using Mellin transforms. Examples of variance function behaviour are given and calculations of the coefficient of sphericity shown.

 

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