Uniform distribution on a Stiefel manifold

DOI10.1016/0047-259X(77)90087-2zbMath0377.62029OpenAlexW1981040098MaRDI QIDQ1246221

Chinubal G. Khatri, Kanti V. Mardia

Publication date: 1977

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

Full work available at URL: https://doi.org/10.1016/0047-259x(77)90087-2

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10)

Related Items

Bayesian point estimation of the cointegration space ⋮ Rates of the strong uniform consistency for the kernel-type regression function estimators with general kernels on manifolds ⋮ Concentrated matrix Langevin distributions ⋮ Some recent developments in Markov Chain Monte Carlo for cointegrated time series ⋮ Representation of Radon shape diffusions via hyperspherical Brownian motion ⋮ A test of uniformity on shape spaces. ⋮ Conjugate priors and posterior inference for the matrix Langevin distribution on the Stiefel manifold ⋮ Asymptotic expansions for distributions of the large sample matrix resultant and related statistics on the Stiefel manifold ⋮ Strong uniform convergence of density estimators on compact Euclidean manifolds ⋮ Modifications of the Rayleigh and Bingham tests for uniformity of directions ⋮ Efficient simulation of Brown‒Resnick processes based on variance reduction of Gaussian processes ⋮ Principal Flows ⋮ Mean location and sample mean location on manifolds: Asymptotics, tests, confidence regions ⋮ Tail correlation functions of max-stable processes

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some Results on the Non-Central Multivariate Beta Distribution and Moments of Traces of Two Matrices
• Tests for randomness of directions against equatorial and bimodal alternatives
• Orientation statistics
• Distributions of Matrix Variates and Latent Roots Derived from Normal Samples
• On the Limiting Distribution of Roots of a Determinantal Equation