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普通最小二乘法 (OLS) 回归×稳健广义最小二乘法 (Robust GLS)×稳健OLS(具有稳健标准误的OLS)×
领域计量经济学计量经济学计量经济学
方法族Regression modelRegression modelRegression model
起源年份20191936 / 19801980
提出者Wooldridge (textbook treatment); classical least squaresAitken (GLS theory, 1936); White (robust covariance, 1980)Halbert White
类型Linear regressionRobust linear regressionLinear regression with robust inference
开创性文献Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860Greene, W. H. (2012). Econometric Analysis (7th ed.). Pearson. Chapter 9: The Generalized Regression Model and Heteroscedasticity. ISBN: 978-0131395381White, H. (1980). A heteroskedasticity-consistent covariance matrix estimator and a direct test for heteroskedasticity. Econometrica, 48(4), 817–838. DOI ↗
别名ordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonurobust generalized least squares, GLS with robust standard errors, heteroscedasticity-consistent GLS, HC-GLSHC robust regression, White robust OLS, sandwich estimator OLS, OLS with robust standard errors
相关556
摘要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).Robust GLS extends classical Generalized Least Squares by pairing GLS coefficient estimation with heteroscedasticity- and autocorrelation-consistent (HAC) standard errors, or by using M-estimation within the GLS framework. It corrects for non-spherical errors — heteroscedasticity, autocorrelation, or both — while also guarding inference against misspecification of the error covariance structure.Robust OLS applies ordinary least squares to estimate coefficients and then replaces the classical standard errors with heteroscedasticity-consistent (HC) standard errors — commonly called White standard errors. This leaves the point estimates unchanged while yielding valid t-statistics and confidence intervals even when the error variance is not constant across observations.
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ScholarGate方法对比: OLS Regression · Robust GLS · Robust OLS. 于 2026-06-18 检索自 https://scholargate.app/zh/compare