\(M\)-estimation for location and regression parameters in group models: A case study using Stiefel manifolds

DOI10.1214/aos/1009210690zbMath1012.62022OpenAlexW2004706434MaRDI QIDQ1848884

Louis-Paul Rivest, Theodore Chang

Publication date: 14 November 2002

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

Full work available at URL: https://doi.org/10.1214/aos/1009210690

Mathematics Subject Classification ID

Directional data; spatial statistics (62H11) Asymptotic properties of parametric estimators (62F12) Asymptotic distribution theory in statistics (62E20) Applications of statistics to biology and medical sciences; meta analysis (62P10) Point estimation (62F10)

Related Items (13)

One-sample Bayes inference for symmetric distributions of 3-D rotations ⋮ APPLIED REGRESSION ANALYSIS BIBLIOGRAPHY UPDATE 2000–2001 ⋮ Detecting the direction of a signal on high-dimensional spheres: non-null and Le Cam optimality results ⋮ Asymptotic relative Pitman efficiency in group models. ⋮ Semiparametric estimation of shifts on compact Lie groups for image registration ⋮ Statistics of ambiguous rotations ⋮ Finite-sample investigation of likelihood and Bayes inference for the symmetric von Mises-Fisher distribution ⋮ Nonparametric confidence regions for the central orientation of random rotations ⋮ On efficiency and robustness of estimators for a spherical location ⋮ A statistical model for random rotations ⋮ Spatial statistics ⋮ An inverse norm weight spatial sign test for high-dimensional directional data ⋮ On Optimal Tests for Rotational Symmetry Against New Classes of Hyperspherical Distributions

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• Multivariate calculation. Use of the continuous groups
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• Using Orientation Statistics to Investigate Variations in Human Kinematics
• On the Classification of Transitive Effective Actions on Stiefel Manifolds
• Orientation statistics
• Spherical regression

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