A test of uniformity on shape spaces

Y Chikuse; Peter Edmund Jupp

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

A test of uniformity on shape spaces

Y Chikuse, Peter Edmund Jupp

Applied Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	163-176
Number of pages	14
Journal	Journal of Multivariate Analysis
Volume	88
Issue number	1
DOIs	https://doi.org/10.1016/S0047-259X(03)00066-6
Publication status	Published - Jan 2004

Keywords

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

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keywords = "generalized Bartlett correction, locally most powerful invariant test, nearly collinear shape, reflection shape, score test, uniform distribution, STATISTICS, MANIFOLD",

author = "Y Chikuse and Jupp, \{Peter Edmund\}",

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AB - 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.

KW - generalized Bartlett correction

KW - locally most powerful invariant test

KW - nearly collinear shape

KW - reflection shape

KW - score test

KW - uniform distribution

KW - STATISTICS

KW - MANIFOLD

UR - https://www.scopus.com/pages/publications/0346973090

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

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SP - 163

EP - 176

JO - Journal of Multivariate Analysis

JF - Journal of Multivariate Analysis

IS - 1

ER -

A test of uniformity on shape spaces

Abstract

Keywords

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