A test of uniformity on shape spaces |
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| Authors: | Y Chikuse |
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| Institution: | a Faculty of Engineering, Kagawa University, 2217-20 Hayashi-cho, Takamatsu, Kagawa 761-0396, Japan
b School of Mathematics and Statistics, University of St Andrews, North Haugh, St Andrews KY16 9SS, UK |
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| Abstract: | A test of uniformity on the shape space Σmk 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 Σmk is proposed, which is suitable for modelling shapes given by landmarks which are almost collinear. |
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| Keywords: | primary 62H11 62H15 secondary 60E05 |
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