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MM估计量稳健回归×S估计量稳健回归×
领域统计学统计学
方法族Regression modelRegression model
起源年份19871984
提出者Victor J. YohaiRousseeuw & Yohai (1984)
类型Robust linear regressionRobust linear regression
开创性文献Yohai, V. J. (1987). High Breakdown-Point and High Efficiency Robust Estimates for Regression. Annals of Statistics, 15(2), 642-656. DOI ↗Rousseeuw, P. J. & Yohai, V. J. (1984). Robust Regression by Means of S-Estimators. In Robust and Nonlinear Time Series Analysis (Lecture Notes in Statistics, Vol. 26, pp. 256-272). Springer. DOI ↗
别名MM-estimation, MM robust regression, high-breakdown high-efficiency estimator, MM-Tahmin EdiciS-estimation, robust S-regression, S-Tahmin Edici
相关55
摘要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.The S-estimator is a robust linear-regression method, introduced by Rousseeuw and Yohai in 1984, that estimates the coefficients by minimising a robust M-estimate of the residual scale rather than the variance of the residuals. By driving down a bounded measure of residual spread it can attain a breakdown point of up to 50%, so it stays reliable even when a large share of the data are outliers, and it provides the first stage of the well-known MM-estimator.
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ScholarGate方法对比: MM-Estimator · S-Estimator. 于 2026-06-20 检索自 https://scholargate.app/zh/compare