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Robust simple linear regression×Robustна множествена линейна регресия×
ОбластСтатистикаСтатистика
СемействоRegression modelRegression model
Година на възникване1964-19871964–1980s
СъздателPeter J. Huber (M-estimators, 1964); Rousseeuw & Leroy (practical framework, 1987)Peter J. Huber (M-estimators, 1964); extended by Rousseeuw, Yohai, and Maronna
ТипRobust linear regressionRobust linear regression
Основополагащ източникRousseeuw, 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 ↗
Други названияrobust SLR, M-estimator simple regression, outlier-resistant simple regression, robust bivariate regressionrobust MLR, M-estimator regression, resistant multiple regression, robust OLS
Свързани66
РезюмеRobust 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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  2. 2 Източници
  3. PUBLISHED
  1. v1
  2. 2 Източници
  3. PUBLISHED

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ScholarGateСравнение на методи: Robust Simple linear regression · Robust Multiple linear regression. Извлечено на 2026-06-15 от https://scholargate.app/bg/compare