A generalization of Hotelling's T2

被引:5
|
作者
Jorgensen, B
Rajeswaran, J
机构
[1] Cleveland Clin Fdn, Dept Biostat & Epidemiol WB4, Cleveland, OH 44195 USA
[2] Univ So Denmark, Dept Stat, Odense, Denmark
基金
加拿大自然科学与工程研究理事会;
关键词
multivariate gamma model; multivariate proper dispersion models; saddlepoint approximation;
D O I
10.1080/STA-200066398
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
We derive an asymptotic version of Hotelling's T-2 for the multivariate proper dispersion models of Jorgensen and Lauritzen ( 2000), the main tool being the saddlepoint approximation. Multivariate dispersion models are suitable for positive, directional, compositional, and other non normal data. We illustrate the results by a multivariate gamma model.
引用
收藏
页码:2179 / 2195
页数:17
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