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M-Schätzer (Robuste Regression)×Least Trimmed Squares (LTS)-Regression×
FachgebietStatistikStatistik
FamilieRegression modelRegression model
Entstehungsjahr20091984
UrheberPeter J. HuberPeter J. Rousseeuw
TypRobust linear regressionRobust linear regression
Wegweisende QuelleHuber, P. J., & Ronchetti, E. M. (2009). Robust Statistics (2nd ed.). Wiley. link ↗Rousseeuw, P. J. (1984). Least Median of Squares Regression. Journal of the American Statistical Association, 79(388), 871-880. DOI ↗
Aliasnamenm-estimation, huber regression, robust m-regression, M-Tahmin EdicilerLTS, least trimmed squares regression, trimmed least squares, robust regression
Verwandt55
ZusammenfassungM-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.Least Trimmed Squares is a robust linear regression method introduced by Peter J. Rousseeuw in 1984. Instead of fitting all residuals, it estimates the coefficients by minimising the sum of only the h smallest squared residuals, which gives it a breakdown point of up to 50% and reliable estimates on data heavily contaminated by outliers.
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ScholarGateMethoden vergleichen: M-Estimator · Least Trimmed Squares. Abgerufen am 2026-06-19 von https://scholargate.app/de/compare