Nonlinear principal components. I: Absolutely continuous random variables with positive bounded densities
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Publication:1807087
DOI10.1214/aos/1028144850zbMath0929.62067OpenAlexW2069580237MaRDI QIDQ1807087
Publication date: 9 November 1999
Published in: The Annals of Statistics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aos/1028144850
Factor analysis and principal components; correspondence analysis (62H25) Elliptic equations and elliptic systems (35J99) Applications of operator theory in probability theory and statistics (47N30)
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Cites Work
- Trace formulae for the eigenvalues of the Laplacian
- On measuring internal dependence in a set of random variables
- Analysis of additive dependencies and concurvities using smallest additive principal components (With discussion)
- Eigenvalues of the Laplacian with Neumann boundary conditions
- Different Eigenvalue Asymptotic for Dirichlet and Neumann Boundary Conditions of Elliptic Operators of Second Order in Some Irregular Domains
- Principal Curves
- An Optimal Property of Principal Components
- Minimization of Eigenvalues of a Matrix and Optimality of Principal Components
- Some Imbedding Theorems for Sobolev Spaces
- Linear Statistical Inference and its Applications
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