A test of uniformity on shape spaces.

DOI10.1016/S0047-259X(03)00066-6zbMath1041.62047MaRDI QIDQ1421868

Yasuko Chikuse, Peter E. Jupp

Publication date: 3 February 2004

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

zbMATH Keywords

Uniform distributionScore testLocally most powerful invariant testGeneralized Bartlett correctionNearly collinear shapeReflection shape

Mathematics Subject Classification ID

Directional data; spatial statistics (62H11) Hypothesis testing in multivariate analysis (62H15) Probability distributions: general theory (60E05)

Related Items (5)

A general setting for symmetric distributions and their relationship to general distributions ⋮ Statistics of ambiguous rotations ⋮ Principal component geodesics for planar shape spaces ⋮ Random triangle theory with geometry and applications ⋮ Multivariate Bayesian function estimation

Cites Work

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• An antipodally symmetric distribution on the sphere
• Uniform distribution on a Stiefel manifold
• Large sample asymptotic theory of tests for uniformity on the Grassmann manifold
• The statistical theory of shape
• A Unified View of the Theory of Directional Statistics, 1975-1988
• A modified score test statistic having chi-squared distribution to order n⁻¹
• Exponential transformation models
• Higher order monotone Bartlett-type adjustment for some multivariate test statistics
• Directional statistics and shape analysis

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