Canonical analysis relative to a closed subspace
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Publication:1881062
DOI10.1016/j.laa.2004.02.036zbMath1103.62051OpenAlexW2100711212MaRDI QIDQ1881062
Jacques Dauxois, Guy Martial Nkiet, Yves Romain
Publication date: 4 October 2004
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2004.02.036
angle between subspacespartial canonical coefficientsprincipal angle closed subspacesrelative maximal canonical coefficients
Measures of association (correlation, canonical correlation, etc.) (62H20) Applications of functional analysis in probability theory and statistics (46N30)
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Cites Work
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- Canonical correlations of past and future for time series: Bounds and computation
- Measures of association for Hilbertian subspaces and some applications
- Canonical correlations of past and future for time series: Definitions and theory
- Efficient estimation of linear functionals of a probability measure \(P\) with known marginal distributions
- Nonparametric statistics for stochastic processes. Estimation and prediction.
- On the product of orthogonal projectors
- Perturbation analysis of the canonical subspaces
- Tensor products and statistics
- Maximizing bilinear forms subject to linear constraints
- Perturbation analysis of the canonical correlations of matrix pairs
- Canonical analysis of two Euclidean subspaces and its applications
- Principal values and principal subspaces of two subspaces of vector spaces with inner product
- Nonlinear canonical analysis and independence tests
- Conditional moment representations for dependent random variables
- Lancaster bivariate probability distributions with Poisson, negative binomial and gamma margins
- Kernel-based nonlinear canonical analysis and time reversibility
- On Principal Angles between Subspaces of Euclidean Space
- Principal Angles between Subspaces in an A-Based Scalar Product: Algorithms and Perturbation Estimates
- Calculation of the amount of information about a random function contained in another such function
- Geometric aspects of the theory of Krylov subspace methods
- N Subspaces
- Partial association measures and an application to qualitative regression
- The asymptotic distribution of the rènyi maximal correlation
- Measures of Asociation between vectors
- Transformations on the set of all \(n\)-dimensional subspaces of a Hilbert space preserving principal angles