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Regresi Bertingkat Teguh (Robust Ridge Regression)×Regresi Linear Berganda Teguh×
BidangStatistikStatistik
KeluargaRegression modelRegression model
Tahun asal19911964–1980s
PengasasSilvapulle (1991); building on Tikhonov (1963) and Huber (1964)Peter J. Huber (M-estimators, 1964); extended by Rousseeuw, Yohai, and Maronna
JenisRegularized robust linear regressionRobust linear regression
Sumber perintisSilvapulle, M. J. (1991). Robust ridge regression based on an M-estimator. Australian Journal of Statistics, 33(3), 319–333. link ↗Huber, P. J. (1964). Robust estimation of a location parameter. Annals of Mathematical Statistics, 35(1), 73–101. DOI ↗
Aliasridge M-estimation, robust regularized regression, M-estimator ridge, outlier-resistant ridge regressionrobust MLR, M-estimator regression, resistant multiple regression, robust OLS
Berkaitan56
RingkasanRobust Ridge regression combines M-estimation with L2 (ridge) regularization to produce coefficient estimates that are simultaneously resistant to outliers and stable under multicollinearity. It minimizes a robust loss function (such as Huber's) penalized by the squared norm of the coefficient vector, downweighting influential observations while shrinking correlated predictors toward zero.Robust multiple linear regression estimates the linear relationship between a continuous outcome and several predictors while being resistant to outliers and violations of the normality assumption. Instead of minimising the sum of squared residuals, it uses a bounded loss function — most commonly Huber's or Tukey's bisquare — so that extreme observations receive limited influence on the estimated coefficients.
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ScholarGateBandingkan kaedah: Robust Ridge regression · Robust Multiple linear regression. Dicapai 2026-06-17 daripada https://scholargate.app/ms/compare