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Παλινδρόμηση Huber×M-Εκτιμητές (Εύρωστη Παλινδρόμηση)×Εκτίμηση MM για Ανθεκτική Παλινδρόμηση×
ΠεδίοΣτατιστικήΣτατιστικήΣτατιστική
ΟικογένειαRegression modelRegression modelRegression model
Έτος προέλευσης196420091987
ΔημιουργόςPeter J. HuberPeter J. HuberVictor J. Yohai
ΤύποςRobust linear regression (M-estimation)Robust linear regressionRobust linear regression
Θεμελιώδης πηγήHuber, P. J. (1964). Robust Estimation of a Location Parameter. Annals of Mathematical Statistics, 35(1), 73-101. DOI ↗Huber, P. J., & Ronchetti, E. M. (2009). Robust Statistics (2nd ed.). Wiley. link ↗Yohai, V. J. (1987). High Breakdown-Point and High Efficiency Robust Estimates for Regression. Annals of Statistics, 15(2), 642-656. DOI ↗
Εναλλακτικές ονομασίεςHuber M-estimator, Huber loss regression, robust regression, Huber Regresyonum-estimation, huber regression, robust m-regression, M-Tahmin EdicilerMM-estimation, MM robust regression, high-breakdown high-efficiency estimator, MM-Tahmin Edici
Συναφείς555
ΣύνοψηHuber 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.M-estimators are a robust generalisation of maximum likelihood estimation, formalised in the work of Peter J. Huber (Huber & Ronchetti, 2009). Instead of squaring every residual, they apply a bounded loss function so that large residuals from outliers are down-weighted rather than allowed to 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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ScholarGateΣύγκριση μεθόδων: Huber Regression · M-Estimator · MM-Estimator. Ανακτήθηκε στις 2026-06-20 από https://scholargate.app/el/compare