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Regressione Lineare Semplice Robusta×Regressione Lineare Multipla Robusta×
CampoStatisticaStatistica
FamigliaRegression modelRegression model
Anno di origine1964-19871964–1980s
IdeatorePeter J. Huber (M-estimators, 1964); Rousseeuw & Leroy (practical framework, 1987)Peter J. Huber (M-estimators, 1964); extended by Rousseeuw, Yohai, and Maronna
TipoRobust linear regressionRobust linear regression
Fonte seminaleRousseeuw, P. J., & Leroy, A. M. (1987). Robust Regression and Outlier Detection. John Wiley & Sons. ISBN: 978-0471852339Huber, P. J. (1964). Robust estimation of a location parameter. Annals of Mathematical Statistics, 35(1), 73–101. DOI ↗
Aliasrobust SLR, M-estimator simple regression, outlier-resistant simple regression, robust bivariate regressionrobust MLR, M-estimator regression, resistant multiple regression, robust OLS
Correlati66
SintesiRobust simple linear regression fits a straight line through bivariate data using loss functions or weighting schemes that down-weight outliers, producing slope and intercept estimates that are far less sensitive to extreme observations than ordinary least squares while remaining easy to interpret.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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ScholarGateConfronta i metodi: Robust Simple linear regression · Robust Multiple linear regression. Consultato il 2026-06-15 da https://scholargate.app/it/compare