Journal
STATISTICS & PROBABILITY LETTERS
Volume 82, Issue 4, Pages 765-774Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.spl.2012.01.001
Keywords
Affine equivariance; Efficiency; Influence function; Robustness; Spatial sign vector
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Funding
- Academy of Finland
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In this paper, we apply orthogonally equivariant spatial sign covariance matrices as well as their affine equivariant counterparts in principal component analysis. The influence functions and asymptotic covariance matrices of eigenvectors based on robust covariance estimators are derived in order to compare the robustness and efficiency properties. We show in particular that the estimators that use pairwise differences of the observed data have very good efficiency properties, providing practical robust alternatives to classical sample covariance matrix based methods. (C) 2012 Elsevier B.V. All rights reserved.
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