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Robusna jednostavna linearna regresija×Robustna višestruka linearna regresija×
PodručjeStatistikaStatistika
ObiteljRegression modelRegression model
Godina nastanka1964-19871964–1980s
TvoracPeter J. Huber (M-estimators, 1964); Rousseeuw & Leroy (practical framework, 1987)Peter J. Huber (M-estimators, 1964); extended by Rousseeuw, Yohai, and Maronna
VrstaRobust linear regressionRobust linear regression
Temeljni izvorRousseeuw, 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 ↗
Drugi nazivirobust SLR, M-estimator simple regression, outlier-resistant simple regression, robust bivariate regressionrobust MLR, M-estimator regression, resistant multiple regression, robust OLS
Srodne66
SažetakRobust 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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ScholarGateUsporedite metode: Robust Simple linear regression · Robust Multiple linear regression. Preuzeto 2026-06-15 s https://scholargate.app/hr/compare