RT Generic T1 Shrinkage reweighted regression A1 Cabana Garceran del Vall, Elisa A1 Lillo Rodríguez, Rosa Elvira A1 Laniado Rodas, Henry A2 Universidad Carlos III de Madrid. Departamento de Estadística, AB A robust estimator is proposed for the parameters that characterize the linear regression problem. It is based on the notion of shrinkages, often used in Finance and previously studied for outlier detection in multivariate data. A thorough simulation study is conducted to investigate: the efficiency with normal and heavy-tailed errors, the robustness under contamination, the computational times, the affine equivariance and breakdown value of the regression estimator. Two classical data-sets often used in the literature and a real socio-economic data-set about the Living Environment Deprivation of areas in Liverpool (UK), are studied. The results from the simulations and the real data examples show the advantages of the proposed robust estimator in regression. SN 2387-0303 YR 2019 FD 2019-06 LK https://hdl.handle.net/10016/28500 UL https://hdl.handle.net/10016/28500 LA eng NO This research was partially supported by MINISTERIO DE ECONOMIA,INDUSTRIA Y COMPETITIVIDAD, award number: ECO2015-66593-P. DS e-Archivo RD 27 jul. 2024