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稳健回归×普通最小二乘法 (OLS) 回归×
领域统计学计量经济学
方法族Regression modelRegression model
起源年份19642019
提出者Peter J. Huber (M-estimation, 1964); Frank Hampel (influence function, 1974)Wooldridge (textbook treatment); classical least squares
类型Regression with outlier resistanceLinear regression
开创性文献Huber, P. J. (1964). Robust estimation of a location parameter. The Annals of Mathematical Statistics, 35(1), 73–101. DOI ↗Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860
别名M-estimation regression, robust linear regression, outlier-resistant regression, MM-estimationordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu
相关65
摘要Robust regression estimates the linear relationship between a continuous outcome and predictors while sharply reducing the influence of outliers and leverage points. Unlike OLS, which is highly sensitive to extreme observations, robust methods assign down-weighted influence to atypical data points, producing coefficient estimates that remain stable even when a fraction of the data is contaminated or non-normally distributed.Ordinary Least Squares is the classical linear regression method that explains a continuous outcome as a linear combination of predictors. It estimates the coefficients by minimising the sum of squared residuals, and under the Gauss-Markov assumptions these estimates are the best linear unbiased estimator (BLUE).
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  1. v1
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  3. PUBLISHED

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ScholarGate方法对比: Robust Regression · OLS Regression. 于 2026-06-15 检索自 https://scholargate.app/zh/compare