Open Access
VOL. 3 | 2008 Nonparametric statistics on manifolds with applications to shape spaces
Abhishek Bhattacharya, Rabi Bhattacharya

Editor(s) Bertrand Clarke, Subhashis Ghosal

Inst. Math. Stat. (IMS) Collect., 2008: 282-301 (2008) DOI: 10.1214/074921708000000200


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: 1 January 2008
First available in Project Euclid: 28 April 2008

zbMATH: 1371.62001
MathSciNet: MR2459231

Digital Object Identifier: 10.1214/074921708000000200

Primary: 62G20
Secondary: 62E20 , 62H35

Keywords: extrinsic and intrinsic means and variations , Kendall’s shape spaces , two-sample nonparametric tests

Rights: Copyright © 2008, Institute of Mathematical Statistics

Back to Top