Autores
Stefan Van Aelst, Gert Willems
Fecha de publicación
2005/10/1
Revista
Statistica Sinica
Páginas
981-1001
Editor
Institute of Statistical Science, Academia Sinica and International Chinese Statistical Association
Descripción
In this paper we consider S-estimators for multivariate regression. We study the robustness of the estimators in terms of their breakdown point and influence function. Our results extend results on S-estimators in the context of univariate regression and multivariate location and scatter. Furthermore we develop a fast and robust bootstrap method for the multivariatr S-estimators to obtain inference for the regression parameters. Extensive simulation studies are performed to investigate finite-sample properties. The use of the S-estimators and the fast, robust bootstrap method is illustrated on some data.
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