ROBUST CROSS VALIDATIONS IN RIDGE REGRESSION
Kang–Mo Jung
Abstract
Kang–Mo Jung
Abstract
The shrink parameter in ridge regression may be contami- nated by outlying points. We propose robust cross validation scores in ridge regression instead of classical cross validation. We use robust lo- cation estimators such as median, least trimmed squares, absolute mean for robust cross validation scores. The robust scores have global robust- ness. Simulations are performed to show the effectiveness of the proposed estimators.
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The shrink parameter in ridge regression may be contami- nated by outlying points. We propose robust cross validation scores in ridge regression instead of classical cross validation. We use robust lo- cation estimators such as median, least trimmed squares, absolute mean for robust cross validation scores. The robust scores have global robust- ness. Simulations are performed to show the effectiveness of the proposed estimators.
Key concepts: Robust regression, Ridge, Estimator, Mathematics, Least absolute deviations, Regression, Cross-validation, Statistics