PRINCIPAL POINTS

被引:89
作者
FLURY, BA
机构
[1] Department of Mathematics, Indiana University, Bloomington, IN
关键词
Elliptical distribution; K-means cluster analysis; Normal distribution; Principal component;
D O I
10.2307/2336047
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
The k principal points of a p-variate random variable X are defined as those points ξ1 , . . . ,ξk which minimize the expected squared distance of X from the nearest of the ξj. This paper presents results on the principal points of univariate symmetric distributions, the univariate and bivariate normal distribution, multivariate elliptical distributions, and multivariate distributions in general. In the cases of normal and elliptical distributions, the relationship between principal points and principal components is studied.
引用
收藏
页码:33 / 41
页数:9
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