Asymptotic relative Pitman efficiency in group models.

DOI10.1016/S0047-259X(02)00062-3zbMath1051.62004OpenAlexW1980335886MaRDI QIDQ1400016

Ming-Tien Tsai, Theodore Chang

Publication date: 30 July 2003

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0047-259x(02)00062-3

zbMATH Keywords

spherical regressionAsymptotic relative efficiencylocation and regression group modelsProcrustes regressionregistration in image analysis

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Estimation in multivariate analysis (62H12) Bayesian inference (62F15) Characterization and structure theory for multivariate probability distributions; copulas (62H05) Foundations and philosophical topics in statistics (62A01) Methods of local Riemannian geometry (53B21)

Related Items (5)

On efficiency and robustness of estimators for a spherical location ⋮ Spatial statistics ⋮ Locally best rotation-invariant rank tests for modal location ⋮ Asymptotically efficient two-sample rank tests for modal directions on spheres ⋮ \(M\)-estimation for location and regression parameters in group models: A case study using Stiefel manifolds

Cites Work

• \(M\)-estimation for location and regression parameters in group models: A case study using Stiefel manifolds
• \(M\)-estimates of rigid body motion on the sphere and in Euclidean space
• Robust \(M\)-estimators on spheres
• Generalizing univariate signed rank statistics for testing and estimating a multivariate location parameter
• Spherical regression
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