Breakdown Points of Affine Equivariant Estimators of Multivariate Location and Covariance Matrices

Journal article (1989)
Faculty
Electrical Engineering, Mathematics and Computer Science (EEMCS) (TU Delft)
Copyright: © Institute of Mathematical Statistics
DOI: https://doi.org/doi:10.1214/aos/1176347978
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Published Date

01-04-1989

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Source:

Annals of Statistics Volume 19, Number 1 (1991), 229-248.

Faculty

Electrical Engineering, Mathematics and Computer Science

Abstract

Finite-sample replacement breakdown points are derived for different types of estimators of multivariate location and covariance matrices. The role of various equivariance properties is illustrated. The breakdown point is related to a measure of performance based on large deviations probabilities. Finally, we show that one-step reweighting preserves the breakdown point.