A new statistical model for random unit vectors

DOI10.1016/j.jmva.2008.03.004zbMath1151.62047OpenAlexW2077033709MaRDI QIDQ958907

Karim Oualkacha, Louis-Paul Rivest

Publication date: 10 December 2008

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

Full work available at URL: http://www.archipel.uqam.ca/8517/1/Oualkacha-2009a-preprint.pdf

zbMATH Keywords

rotationmultivariate statisticsspherical symmetrydirectional dataquaternionaxial distribution

Mathematics Subject Classification ID

Directional data; spatial statistics (62H11) Asymptotic properties of parametric estimators (62F12) Estimation in multivariate analysis (62H12) Asymptotic distribution theory in statistics (62E20)

Related Items (max. 100)

One-sample Bayes inference for symmetric distributions of 3-D rotations ⋮ Recent advances in directional statistics ⋮ A permutation test for comparing rotational symmetry in three-dimensional rotation data sets

Uses Software

• CircStats
• circular

Cites Work

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• Decision theoretic analysis of spherical regression
• An antipodally symmetric distribution on the sphere
• A statistical model for random rotations
• Topics in Circular Statistics
• A directional model for the statistical analysis of movement in three dimensions
• A Unified View of the Theory of Directional Statistics, 1975-1988
• Statistical analysis for the angular central Gaussian distribution on the sphere
• Using Orientation Statistics to Investigate Variations in Human Kinematics
• Orientation statistics

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