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Robust estimation of the conditional median function at elliptical models

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  • Croux, Christophe
  • Dehon, Catherine
  • Rousseeuw, Peter J.
  • Aelst, Stefan Van

Abstract

In this note we study the problem of estimating the parameters of the conditional median function at elliptical models. For this we use positive-breakdown estimators of multivariate location and scatter, and obtain influence functions and asymptotic variances of the resulting slope and intercept. We also consider a technique to gain efficiency by artificially increasing the dimension.

Suggested Citation

  • Croux, Christophe & Dehon, Catherine & Rousseeuw, Peter J. & Aelst, Stefan Van, 2001. "Robust estimation of the conditional median function at elliptical models," Statistics & Probability Letters, Elsevier, vol. 51(4), pages 361-368, February.
    • Handle: RePEc:eee:stapro:v:51:y:2001:i:4:p:361-368
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    References listed on IDEAS

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    1. Croux, Christophe & Haesbroeck, Gentiane, 1999. "Influence Function and Efficiency of the Minimum Covariance Determinant Scatter Matrix Estimator," Journal of Multivariate Analysis, Elsevier, vol. 71(2), pages 161-190, November.
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    1. Christophe Croux & Stefan Aelst & Catherine Dehon, 2003. "Bounded influence regression using high breakdown scatter matrices," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 55(2), pages 265-285, June.
    2. Lanius, Vivian & Gather, Ursula, 2010. "Robust online signal extraction from multivariate time series," Computational Statistics & Data Analysis, Elsevier, vol. 54(4), pages 966-975, April.
    3. Lanius, Vivian & Gather, Ursula, 2007. "Robust online signal extraction from multivariate time series," Technical Reports 2007,38, Technische Universität Dortmund, Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen.

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