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Huber-regression×MM-estimering for robust regression×
FagområdeStatistikStatistik
FamilieRegression modelRegression model
Oprindelsesår19641987
OphavspersonPeter J. HuberVictor J. Yohai
TypeRobust linear regression (M-estimation)Robust linear regression
Oprindelig kildeHuber, P. J. (1964). Robust Estimation of a Location Parameter. Annals of Mathematical Statistics, 35(1), 73-101. DOI ↗Yohai, V. J. (1987). High Breakdown-Point and High Efficiency Robust Estimates for Regression. Annals of Statistics, 15(2), 642-656. DOI ↗
AliasserHuber M-estimator, Huber loss regression, robust regression, Huber RegresyonuMM-estimation, MM robust regression, high-breakdown high-efficiency estimator, MM-Tahmin Edici
Relaterede55
ResuméHuber regression is a robust linear regression method, introduced by Peter J. Huber in 1964, that resists the influence of outliers by treating small and large residuals differently. It applies a squared (OLS-like) loss to small residuals and a milder absolute-value loss to large ones, so extreme observations cannot dominate the fit.The MM-estimator is a robust linear regression method introduced by Victor J. Yohai in 1987. It combines the high breakdown point of an S-estimator with the high efficiency of an M-estimator, so it resists outliers strongly while still using the data efficiently when errors are well-behaved.
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