Invariant Bayesian estimation on manifolds

DOI10.1214/009053604000001273zbMath1069.62004arXivmath/0506296OpenAlexW2052561324WikidataQ124884782 ScholiaQ124884782MaRDI QIDQ2388349

Ian Jermyn

Publication date: 12 September 2005

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0506296

zbMATH Keywords

manifoldMAPmetricmeanparameterizationcontinuousMMSEdelta function loss

Mathematics Subject Classification ID

Point estimation (62F10) Bayesian inference (62F15) Bayesian problems; characterization of Bayes procedures (62C10) Foundations and philosophical topics in statistics (62A01) Differential geometry (53-XX)

Related Items (4)

Intrinsic Bayesian active contours for extraction of object boundaries in images ⋮ A Riemannian Bayesian framework for estimating diffusion tensor images ⋮ Equi-affine invariant geometry for shape analysis ⋮ A Nonlocal Denoising Algorithm for Manifold-Valued Images Using Second Order Statistics

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• An information measure for single link classification
• Riemannian center of mass and mollifier smoothing
• Assessing the accuracy of the maximum likelihood estimator: Observed versus expected Fisher information
• The Selection of Prior Distributions by Formal Rules
• An Information Measure for Classification

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