Statistics on Riemannian manifolds: asymptotic distribution and curvature

DOI10.1090/S0002-9939-08-09445-8zbMath1274.62337WikidataQ115290101 ScholiaQ115290101MaRDI QIDQ3518257

Abhishek Bhattacharya, Rabi N. Bhattacharya

Publication date: 7 August 2008

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

nonparametric analysisintrinsic meanshape space of k-ads

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Asymptotic properties of nonparametric inference (62G20) Image analysis in multivariate analysis (62H35) Global Riemannian geometry, including pinching (53C20)

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Cites Work

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• Intrinsic statistics on Riemannian manifolds: Basic tools for geometric measurements
• Mean location and sample mean location on manifolds: Asymptotics, tests, confidence regions
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• Large sample theory of intrinsic and extrinsic sample means on manifolds. II.
• Directions and projective shapes
• Locating Fréchet means with application to shape spaces
• Shape Manifolds, Procrustean Metrics, and Complex Projective Spaces
• Statistical Analysis of Spherical Data
• Probability, Convexity, and Harmonic Maps with Small Image I: Uniqueness and Fine Existence
• Riemannian center of mass and mollifier smoothing
• Nonparametric Inference on Manifolds
• Riemannian geometry and geometric analysis

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