On the asymptotic behavior of general projection-pursuit estimators under the common principal components model

DOI10.1016/j.spl.2009.10.011zbMath1180.62086OpenAlexW1990167743MaRDI QIDQ844878

Graciela Boente, Mariela Sued, Julieta Molina

Publication date: 5 February 2010

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2009.10.011

Mathematics Subject Classification ID

Factor analysis and principal components; correspondence analysis (62H25) Estimation in multivariate analysis (62H12) Asymptotic distribution theory in statistics (62E20) Robustness and adaptive procedures (parametric inference) (62F35)

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On the asymptotic behavior of general projection-pursuit estimators under the common principal components model

Cites Work

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• High breakdown estimators for principal components: the projection-pursuit approach revis\-ited
• On the asymptotic behavior of general projection-pursuit estimators under the common principal components model
• Partial influence functions
• Weak convergence and empirical processes. With applications to statistics
• General projection-pursuit estimators for the common principal components model: influence functions and Monte Carlo study
• Asymptotic distributions of principal components based on robust dispersions
• Projection-Pursuit Approach to Robust Dispersion Matrices and Principal Components: Primary Theory and Monte Carlo
• Influence functions and outlier detection under the common principal components model: A robust approach

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