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M-Estimator (Regresi Robust)×Regresi Least Trimmed Squares (LTS)×Estimasi MM untuk Regresi Robust×
BidangStatistikaStatistikaStatistika
KeluargaRegression modelRegression modelRegression model
Tahun asal200919841987
PencetusPeter J. HuberPeter J. RousseeuwVictor J. Yohai
TipeRobust linear regressionRobust linear regressionRobust linear regression
Sumber perintisHuber, 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 ↗Yohai, V. J. (1987). High Breakdown-Point and High Efficiency Robust Estimates for Regression. Annals of Statistics, 15(2), 642-656. DOI ↗
Aliasm-estimation, huber regression, robust m-regression, M-Tahmin EdicilerLTS, least trimmed squares regression, trimmed least squares, robust regressionMM-estimation, MM robust regression, high-breakdown high-efficiency estimator, MM-Tahmin Edici
Terkait555
RingkasanM-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.The MM-estimator is a robust linear regression method introduced by Victor J. Yohai in 1987. It combines the high breakdown point of an S-estimator with the high efficiency of an M-estimator, so it resists outliers strongly while still using the data efficiently when errors are well-behaved.
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ScholarGateBandingkan metode: M-Estimator · Least Trimmed Squares · MM-Estimator. Diakses 2026-06-19 dari https://scholargate.app/id/compare