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 language | English (US) |
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Pages (from-to) | 2959-2967 |
Number of pages | 9 |
Journal | Proceedings of the American Mathematical Society |
Volume | 136 |
Issue number | 8 |
DOIs | |
State | Published - Aug 2008 |
Keywords
- Intrinsic mean
- Nonparametric analysis
- Shape space of k-ads
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics