Robust estimation of the conditional median function at elliptical models
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.
Year of publication: |
2001
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Authors: | Croux, Christophe ; Dehon, Catherine ; Rousseeuw, Peter J. ; Aelst, Stefan Van |
Published in: |
Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 51.2001, 4, p. 361-368
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Publisher: |
Elsevier |
Subject: | Elliptical model Median Regression Robustness |
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