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.
Information
Published: 1 January 2008
First available in Project Euclid: 28 April 2008
zbMATH: 1371.62001
MathSciNet: MR2459231
Digital Object Identifier: 10.1214/074921708000000200
Subjects:
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