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Робастная обобщенная линейная модель×Робастная множественная линейная регрессия×
ОбластьСтатистикаСтатистика
СемействоRegression modelRegression model
Год появления20011964–1980s
Автор методаCantoni & RonchettiPeter J. Huber (M-estimators, 1964); extended by Rousseeuw, Yohai, and Maronna
ТипRobust regression modelRobust linear regression
Основополагающий источникHeritier, S., Cantoni, E., Copt, S., & Victoria-Feser, M.-P. (2009). Robust Methods in Biostatistics. Wiley. ISBN: 978-0470027264Huber, P. J. (1964). Robust estimation of a location parameter. Annals of Mathematical Statistics, 35(1), 73–101. DOI ↗
Другие названияrobust GLM, GLM with robust estimation, robust quasi-likelihood model, M-estimator GLMrobust MLR, M-estimator regression, resistant multiple regression, robust OLS
Связанные56
СводкаA Robust Generalized Linear Model fits the standard GLM family — linear, logistic, Poisson, and others — using M-type estimating equations that down-weight outlying or influential observations. The result is coefficient estimates and standard errors that remain stable even when a minority of data points deviate sharply from the assumed distribution.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 Источники
  3. PUBLISHED
  1. v1
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ScholarGateСравнение методов: Robust Generalized linear model · Robust Multiple linear regression. Получено 2026-06-15 из https://scholargate.app/ru/compare