Methods of density estimation on the Grassmann manifold

DOI10.1016/S0024-3795(01)00425-6zbMath1009.62028MaRDI QIDQ1855347

Yasuko Chikuse

Publication date: 5 February 2003

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

Grassmann manifoldkernel density estimatorssemiparametric density estimationhypergeometric functions with matrix argumentorthogonal projection matricestransformation of manifolds

Mathematics Subject Classification ID

Directional data; spatial statistics (62H11) Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20)

Cites Work

• Kernel density estimation with spherical data
• Bessel functions of matrix argument
• All admissible linear estimators of a multivariate Poisson mean
• Asymptotic expansions for distributions of latent roots in multivariate analysis
• Density estimation on the Stiefel manifold
• Locally parametric nonparametric density estimation
• Density estimation on the spaces of symmetric and rectangular matrices
• Large sample asymptotic theory of tests for uniformity on the Grassmann manifold
• Nonparametric density estimation with a parametric start
• Error analysis for general multtvariate kernel estimators
• A Semiparametric Approach to Density Estimation
• Transformations in Density Estimation
• Procrustes analysis on some special manifolds
• Orientation statistics
• Distributions of Matrix Variates and Latent Roots Derived from Normal Samples
• Some Non-Central Distribution Problems in Multivariate Analysis
• Normal Multivariate Analysis and the Orthogonal Group
• Robust Statistics
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