Large sample asymptotic theory of tests for uniformity on the Grassmann manifold

DOI10.1006/jmva.1995.1043zbMath0863.62058OpenAlexW2027444677MaRDI QIDQ1898394

Yasuko Chikuse, Geoffrey S. Watson

Publication date: 17 September 1995

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

Full work available at URL: https://doi.org/10.1006/jmva.1995.1043

zbMATH Keywords

likelihood ratio testinvariant measureGrassmann manifolduniform distributionlocal alternativesinvariant polynomialsdifferential formmatrix Langevin distributionlocally best invariant teststests for uniformityorthogonal projection matricesRayleigh-style testsample mean matrix

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Hypothesis testing in multivariate analysis (62H15) Foundations and philosophical topics in statistics (62A01) Asymptotic properties of parametric tests (62F05)

Related Items (9)

Concentrated matrix Langevin distributions ⋮ Unnamed Item ⋮ A test of uniformity on shape spaces. ⋮ Modifications of the Rayleigh and Bingham tests for uniformity of directions ⋮ State space models on special manifolds ⋮ Density estimation on the Stiefel manifold ⋮ Methods of density estimation on the Grassmann manifold ⋮ Procrustes analysis on some special manifolds ⋮ Nonparametic estimation of location and dispersion on Riemannian manifolds

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