Nonparametric statistics on manifolds with applications to shape spaces

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.

Published in at http://dx.doi.org/10.1214/074921708000000200 the IMS Collections (http://www.imstat.org/publications/imscollections.htm) by the Institute of Mathematical Statistics (http://www.imstat.org)

References in corpus (3)

• Large sample theory of intrinsic and extrinsic sample means on manifolds--II
• Directions and projective shapes
• Asymptotic data analysis on manifolds

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