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Robust estimation of the conditional median function at elliptical models

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

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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.

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Publisher Info
Article provided by Elsevier in its journal Statistics & Probability Letters.

Volume (Year): 51 (2001)
Issue (Month): 4 (February)
Pages: 361-368
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Handle: RePEc:eee:stapro:v:51:y:2001:i:4:p:361-368

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Keywords: Elliptical model Median Regression Robustness;

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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, vol. 55(2), pages 265-285, June. [Downloadable!] (restricted)
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