TY - JOUR
T1 - Statistics on Riemannian manifolds
T2 - Asymptotic distribution and curvature
AU - Bhattacharya, Abhishek
AU - Bhattacharya, Rabi
PY - 2008/8
Y1 - 2008/8
N2 - 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.
AB - 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.
KW - Intrinsic mean
KW - Nonparametric analysis
KW - Shape space of k-ads
UR - http://www.scopus.com/inward/record.url?scp=76849094625&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=76849094625&partnerID=8YFLogxK
U2 - 10.1090/S0002-9939-08-09445-8
DO - 10.1090/S0002-9939-08-09445-8
M3 - Article
AN - SCOPUS:76849094625
SN - 0002-9939
VL - 136
SP - 2959
EP - 2967
JO - Proceedings of the American Mathematical Society
JF - Proceedings of the American Mathematical Society
IS - 8
ER -