Projection-pursuit based principal component analysis: a large sample theory

DOI10.1007/s11424-006-0365-0zbMath1115.68152OpenAlexW2115304068MaRDI QIDQ882521

Jian Zhang

Publication date: 24 May 2007

Published in: Journal of Systems Science and Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11424-006-0365-0

zbMATH Keywords

principal component analysisempirical processesprojection pursuiteigenvalues and eigenvectorsdispersion matrices

Mathematics Subject Classification ID

Machine vision and scene understanding (68T45)

Cites Work

• High breakdown estimators for principal components: the projection-pursuit approach revis\-ited
• Projection pursuit
• Asymptotic distributions of principal components based on robust dispersions
• Projection-Pursuit Approach to Robust Dispersion Matrices and Principal Components: Primary Theory and Monte Carlo
• Robust estimation and outlier detection with correlation coefficients
• Principal component analysis based on robust estimators of the covariance or correlation matrix: influence functions and efficiencies
• Asymptotic Theory for Principal Component Analysis
• Convergence of stochastic processes
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