Nonparametric statistics on manifolds with applications to shape spaces
Abhishek Bhattacharya, Rabi Bhattacharya
Abstract
This article presents certain recent methodologies and some new results for the statistical analysis of probability distributions on manifolds. An important example considered in some detail here is the 2-D shape space of k-ads, comprising all configurations of k planar landmarks (k>2)-modulo translation, scaling and rotation.
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Primary Subjects: 62G20
Secondary Subjects: 62E20, 62H35
Keywords: extrinsic and intrinsic means and variations; Kendall’s shape spaces; two-sample nonparametric tests
Full-text: Open access
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Permanent link to this document: http://projecteuclid.org/euclid.imsc/1209398475
Digital Object Identifier: doi:10.1214/074921708000000200
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