Fast robust estimation of prediction error based on resampling

Robust estimators of the prediction error of a linear model are proposed. The estimators are based on the resampling techniques cross-validation and bootstrap. The robustness of the prediction error estimators is obtained by robustly estimating the regression parameters of the linear model and by trimming the largest prediction errors. To avoid the recalculation of timeconsuming robust regression estimates, fast approximations for the robust estimates of the resampled data are used. This leads to time efficient and robust estimators of prediction error. Key words: Bootstrap, Cross-validation, Prediction error, Robustness

• Type: Journal
• Year: 2010
• Where: CSDA
• Authors: Jafar A. Khan, Stefan Van Aelst, Ruben H. Zamar
• Keywords: CSDA 2010, Estimators, Prediction Error, Robust Estimators