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Influence Function and Efficiency of the Minimum Covariance Determinant Scatter MAtrix Estimator

Author

Listed:
  • Croux, C.
  • Haesbroeck, G.

Abstract

The minimum Covariance Determinant (MCD) scatter estimator is a highly robust estimator for the dispersion matrix of a multivariate, elliptically symmetric distribution. It is fast to compute and intuitively appealing. In this note we derive its influence function and compute the asymptotic variances of its elements. A comparison with the one step reweighted MCD and with S-estimators is made. Also finite-sample results are reported.

Suggested Citation

  • Croux, C. & Haesbroeck, G., 1998. "Influence Function and Efficiency of the Minimum Covariance Determinant Scatter MAtrix Estimator," Liege - Groupe d'Etude des Mathematiques du Management et de l'Economie 9811, UNIVERSITE DE LIEGE, Faculte d'economie, de gestion et de sciences sociales, Groupe d'Etude des Mathematiques du Management et de l'Economie.
  • Handle: RePEc:fth:gemame:9811
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    Keywords

    ESTIMATOR ; EFFICIENCY;

    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C10 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - General

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