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Computable representations for the general density of random r–contents of beta distributed random points in an n–ball

 

作者: Giorgio Pederzoxi,  

 

期刊: Statistics  （Taylor Available online 1986）
卷期: Volume 17, issue 3  

页码: 445-451

 

ISSN:0233-1888

 

年代: 1986

 

DOI:10.1080/02331888608801959

 

出版商: Akademie-Verlag

 

关键词: Primary 62H10;secondary 62E05;Computable representations;exact densities;volume of random simplex

 

数据来源: Taylor

 

摘要:

This article considers the r–content of the simplex convex hull of r + 1 independent beta distributed random points in a unit n–ball. By comparing this problem with a similar one in multivariate statistical analysis, the exact density is obtained, for the general case, in computable series form.

 

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