We study the class of weighted M-estimators, which is a variant of M-estimators introduced by Huber in 1964 for the study of robustness. We give sufficient conditions to establish the consistency and asymptotic normality of these estimators for clustered data. (C) 2013 Academie des sciences. Publie par Elsevier Masson SAS. Tous droits reserves.
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Avignon Univ, LMA EA2151, Campus Jean Henri Fabre,301 Rue Baruch Spinoza, F-84916 Avignon 9, FranceAvignon Univ, LMA EA2151, Campus Jean Henri Fabre,301 Rue Baruch Spinoza, F-84916 Avignon 9, France
El Asri, M.
Blanke, D.
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Avignon Univ, LMA EA2151, Campus Jean Henri Fabre,301 Rue Baruch Spinoza, F-84916 Avignon 9, FranceAvignon Univ, LMA EA2151, Campus Jean Henri Fabre,301 Rue Baruch Spinoza, F-84916 Avignon 9, France
Blanke, D.
Gabriel, E.
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Avignon Univ, LMA EA2151, Campus Jean Henri Fabre,301 Rue Baruch Spinoza, F-84916 Avignon 9, FranceAvignon Univ, LMA EA2151, Campus Jean Henri Fabre,301 Rue Baruch Spinoza, F-84916 Avignon 9, France