Statistics on Riemannian manifolds: Asymptotic distribution and curvature

Abhishek Bhattacharya, Rabi Bhattacharya

Research output: Contribution to journalArticle

21 Scopus citations

Abstract

In this article a nonsingular asymptotic distribution is derived for a broad class of underlying distributions on a Riemannian manifold in relation to its curvature. Also, the asymptotic dispersion is explicitly related to curvature. These results are applied and further strengthened for the planar shape space of k-ads.

Original languageEnglish (US)
Pages (from-to)2959-2967
Number of pages9
JournalProceedings of the American Mathematical Society
Volume136
Issue number8
DOIs
StatePublished - Aug 1 2008

Keywords

  • Intrinsic mean
  • Nonparametric analysis
  • Shape space of k-ads

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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