A test of uniformity on shape spaces

被引：9

作者：

Chikuse, Y

Jupp, PE ^{[1
]}

机构：

[1] Univ St Andrews, Sch Math & Stat, St Andrews KY16 9SS, Fife, Scotland

[2] Kagawa Univ, Fac Engn, Takamatsu, Kagawa 7610396, Japan

来源：

JOURNAL OF MULTIVARIATE ANALYSIS | 2004年 / 88卷 / 01期

基金：

英国工程与自然科学研究理事会;

关键词：

generalized Bartlett correction; locally most powerful invariant test; nearly collinear shape; reflection shape; score test; uniform distribution;

D O I：

10.1016/S0047-259X(03)00066-6

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：

A test of uniformity on the shape space Sigma(m)(k) is presented, together with modifications of the test statistic which bring its null distribution close to the large-sample asymptotic distribution. The asymptotic distribution under suitable local alternatives to uniformity is given. A family of distributions on Sigma(m)(k) is proposed, which is suitable for modelling shapes given by landmarks which are almost collinear. (C) 2003 Elsevier Inc. All rights reserved.

引用

页码：163 / 176

页数：14

共 14 条

[1]

[Anonymous], ART STAT SCI

[2] EXPONENTIAL TRANSFORMATION MODELS [J].