2010
DOI: 10.1016/j.csda.2010.01.031
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Fast robust estimation of prediction error based on resampling

Abstract: 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 efficien… Show more

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Cited by 30 publications
(16 citation statements)
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“…(Newlands et al, 2014). The selected predictors were then subjected to a robust cross validation (RCV) scheme (Khan et al, 2010) to finalise the predictors and coefficients of each yield model. The RCV process further stabilized the model by eliminating any false predictors selected from contaminated data (Khan et al, 2010).…”
Section: Iccyf and Its Statistical Algorithmsmentioning
confidence: 99%
See 1 more Smart Citation
“…(Newlands et al, 2014). The selected predictors were then subjected to a robust cross validation (RCV) scheme (Khan et al, 2010) to finalise the predictors and coefficients of each yield model. The RCV process further stabilized the model by eliminating any false predictors selected from contaminated data (Khan et al, 2010).…”
Section: Iccyf and Its Statistical Algorithmsmentioning
confidence: 99%
“…The selected predictors were then subjected to a robust cross validation (RCV) scheme (Khan et al, 2010) to finalise the predictors and coefficients of each yield model. The RCV process further stabilized the model by eliminating any false predictors selected from contaminated data (Khan et al, 2010). Based on Bornn and Zidek (2012), incorporating spatial correlation among the yield models of neighbouring CARs increases the individual model's prediction power and stabilizes the model performance.…”
Section: Iccyf and Its Statistical Algorithmsmentioning
confidence: 99%
“…Cross-validation is an estimator widely used to evaluate prediction errors (Borra and Di Ciaccio, 2010;Khan et al, 2010). In k-fold cross-validation (see, e.g., Hastie et al (2009)), the overall available data is randomly partitioned into k sets of equal size: each of the k sets is used once to measure the OOS forecast accuracy and the other k − 1 sets are used to build the model.…”
Section: Blocked Cross-validationmentioning
confidence: 99%
“…The RLARS was applied to account for heteroscedasticity and outliers in the historical data (i.e., model training/calibration). The selected predictors were then subjected to a Robust Cross Validation (RCV) scheme [39] to further stabilized the model by eliminating any false predictors selected from contaminated data [39]. Then, the Bayesian statistical approach as described by Bornn and Zidek [40] for the spatial correlation analysis among the neighboring spatial units was applied.…”
Section: Overview Of the Integrated Canadian Crop Yield Forecaster (Imentioning
confidence: 99%