The geometry of the affine invariant multivariate sign and rank methods

被引：11
|
作者：
Hettmansperger, TP
Möttönen, J
Oja, H
机构：
[1] Penn State Univ, Dept Stat, University Pk, PA 16802 USA
[2] Univ Oulu, Dept Math Sci Stat, Oulu, Finland
来源：
JOURNAL OF NONPARAMETRIC STATISTICS | 1999年 / 11卷 / 1-3期
关键词：
hyperplane; L-1; methods; multivariate median; multivariate rank test; multivariate sign test; robustness;
D O I：
10.1080/10485259908832784
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
For k-variate data sets, hyperplanes determined by the k-subsets of observations and the normals of these hyperplanes are discussed. Their use in defining multi-variate invariant concepts of sign and rank and multivariate median (based on the Oja criterion) as well as in the computation of these methods is illustrated.
引用
收藏
页码：271 / 285
页数：15
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