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A test of uniformity on shape spaces

✍ Scribed by Y. Chikuse; P.E. Jupp

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
192 KB
Volume
88
Category
Article
ISSN
0047-259X

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✦ Synopsis

A test of uniformity on the shape space S k m 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 S k m is proposed, which is suitable for modelling shapes given by landmarks which are almost collinear.

πŸ“œ SIMILAR VOLUMES

On the scale of a uniform space
On the scale of a uniform space
✍ D. C. Kent πŸ“‚ Article πŸ“… 1967 πŸ› Springer-Verlag 🌐 English βš– 334 KB
Some Simple U-Statistic Tests for Unifor
Some Simple U-Statistic Tests for Uniformity on Certain Homogeneous Spaces
✍ O. Chan; D.Q. Naiman πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 548 KB

We develop some examples of degenerate \(U\)-statistic tests for uniformity in certain compact topological groups and homogeneous spaces, namely, the orthogonal group and the Grassmann manifold. These tests have the attractive properties that they involve simple matrix calculations and their asympto