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Huber-regressio×M-estimaattorit (Robustin regressio)×
TieteenalaTilastotiedeTilastotiede
MenetelmäperheRegression modelRegression model
Syntyvuosi19642009
KehittäjäPeter J. HuberPeter J. Huber
TyyppiRobust linear regression (M-estimation)Robust linear regression
AlkuperäislähdeHuber, 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 ↗
RinnakkaisnimetHuber M-estimator, Huber loss regression, robust regression, Huber Regresyonum-estimation, huber regression, robust m-regression, M-Tahmin Ediciler
Liittyvät55
TiivistelmäHuber 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.
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