Proceedings of the American Mathematical Society

Author(s): Abhishek Bhattacharya; Rabi Bhattacharya
Journal: Proc. Amer. Math. Soc. 136 (2008), 2959-2967.
MSC (2000): Primary 62G20; Secondary 62E20, 62H35
Posted: March 14, 2008
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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.

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 62G20, 62E20, 62H35

Abhishek Bhattacharya
Affiliation: Department of Mathematics, University of Arizona, Tucson, Arizona 85721
Email: abhishek@math.arizona.edu

Rabi Bhattacharya
Affiliation: Department of Mathematics, University of Arizona, Tucson, Arizona 85721
Email: rabi@math.arizona.edu

DOI: 10.1090/S0002-9939-08-09445-8
PII: S 0002-9939(08)09445-8
Keywords: Intrinsic mean, shape space of k-ads, nonparametric analysis
Received by editor(s): July 15, 2007
Posted: March 14, 2008
Additional Notes: This research was supported by NSF Grant DMS 04-06143
Communicated by: Edward C. Waymire
Copyright of article: Copyright 2008, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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ISSN 1088-6826 (e) ISSN 0002-9939 (p)

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