A test of uniformity on shape spaces

A test of uniformity on the shape space [Sigma]mk 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]mk is proposed, which is suitable for modelling shapes given by landmarks which are almost collinear.

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Year of publication:	2004
Authors:	Chikuse, Y. ; Jupp, P. E.
Published in:	Journal of Multivariate Analysis. - Elsevier, ISSN 0047-259X. - Vol. 88.2004, 1, p. 163-176
Publisher:	Elsevier
Keywords:	Generalized Bartlett correction Locally most powerful invariant test Nearly collinear shape Reflection shape Score test Uniform distribution

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10005221237