Nonparametric statistics on manifolds with applications to shape spaces

Abhishek Bhattacharya; Rabi Bhattacharya

doi:10.1214/074921708000000200

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arXiv · 0805.3282

Nonparametric statistics on manifolds with applications to shape spaces

Abhishek Bhattacharya·Rabi Bhattacharya

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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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BibTeX RIS

Abhishek Bhattacharya, Rabi Bhattacharya. 2008-05-21. Nonparametric statistics on manifolds with applications to shape spaces. https://doi.org/10.1214/074921708000000200

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