Department of Economics

AUTHOR

Wood Andrew

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Statistics , Applied Research - 2023

Cauchy Robust Principal Component Analysis with Applications to High-Dimensional Data Sets

In this paper, we propose a modified formulation of the principal components analysis, based on the use of a multivariate Cauchy likelihood instead of the Gaussian likelihood, which has the effect of robustifying the principal components. We present an algorithm to compute these robustified principal components. We additionally derive the relevant influence function of the first component and examine its theoretical properties.

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