Detecting the direction of a signal on high-dimensional spheres: non-null and Le Cam optimality results

DOI10.1007/s00440-019-00937-xzbMath1436.62195arXiv1711.02504OpenAlexW2965335412MaRDI QIDQ2174669

Davy Paindaveine, Thomas Verdebout

Publication date: 21 April 2020

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.02504

zbMATH Keywords

invariancelocal asymptotic normalityhigh-dimensional statisticsrotationally symmetric distributionsLe Cam's asymptotic theory of statistical experiments

Mathematics Subject Classification ID

Directional data; spatial statistics (62H11) Parametric hypothesis testing (62F03)

Related Items (2)

Inference for spherical location under high concentration ⋮ Testing uniformity on high-dimensional spheres: the non-null behaviour of the Bingham test

Uses Software

• movMF

Cites Work

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• Skew-symmetric distributions and Fisher information: the double sin of the skew-normal
• High dimensional limit theorems and matrix decompositions on the Stiefel manifold
• A distribution-free M-estimator of multivariate scatter
• Spherical regression for concentrated Fisher-von Mises distributions
• Robust direction estimation
• Asymptotics in statistics. Some basic concepts.
• \(M\)-estimation for location and regression parameters in group models: A case study using Stiefel manifolds
• Inference on the mode of weak directional signals: a Le Cam perspective on hypothesis testing near singularities
• Testing uniformity on high-dimensional spheres against monotone rotationally symmetric alternatives
• Testing for principal component directions under weak identifiability
• Inference for spherical location under high concentration
• High-dimensional tests for spherical location and spiked covariance
• Statistical analysis on high-dimensional spheres and shape spaces
• Distributions of Angles in Random Packing on Spheres
• Estimation of the concentration parameter in von Mises-Fisher distributions
• Asymptotic Statistics
• Computation of Modified Bessel Functions and Their Ratios
• Improved likelihood ratio tests on the von Mises-Fisher distribution
• Group Invariance in Statistical Inference
• Optimal R-estimation of a spherical location
• Statistics of orthogonal axial frames
• Testing Statistical Hypotheses
• Spherical regression

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