Electronic Journal of Statistics
- Electron. J. Statist.
- Volume 2 (2008), 454-467.
A note on sensitivity of principal component subspaces and the efficient detection of influential observations in high dimensions
In this paper we introduce an influence measure based on second order expansion of the RV and GCD measures for the comparison between unperturbed and perturbed eigenvectors of a symmetric matrix estimator. Example estimators are considered to highlight how this measure compliments recent influence analysis. Importantly, we also show how a sample based version of this measure can be used to accurately and efficiently detect influential observations in practice.
Electron. J. Statist., Volume 2 (2008), 454-467.
First available in Project Euclid: 26 June 2008
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Prendergast, Luke A. A note on sensitivity of principal component subspaces and the efficient detection of influential observations in high dimensions. Electron. J. Statist. 2 (2008), 454--467. doi:10.1214/08-EJS201. https://projecteuclid.org/euclid.ejs/1214491851
- Related item: Bénasséni, J. (2014). Sensitivity of principal component subspaces: A comment on Prendergast’s paper. Electron. J. Statist. 8 927–930.