Nonparametric statistics on manifolds with applications to shape spaces
Geometric Topology
2008-12-18 v1 Statistics Theory
Applications
Statistics Theory
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 planar landmarks ()-modulo translation, scaling and rotation.
Cite
@article{arxiv.0805.3282,
title = {Nonparametric statistics on manifolds with applications to shape spaces},
author = {Abhishek Bhattacharya and Rabi Bhattacharya},
journal= {arXiv preprint arXiv:0805.3282},
year = {2008}
}
Comments
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)