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Generalized Least Squares (GLS)×Hồi quy Bình phương Tối thiểu Thông thường (OLS)×OLS mạnh mẽ (OLS với sai số chuẩn mạnh mẽ)×
Lĩnh vựcThống kêKinh tế lượngKinh tế lượng
HọRegression modelRegression modelRegression model
Năm ra đời193520191980
Người khởi xướngAlexander Craig AitkenWooldridge (textbook treatment); classical least squaresHalbert White
LoạiLinear estimatorLinear regressionLinear regression with robust inference
Công trình gốcAitken, A. C. (1935). IV.—On least squares and linear combination of observations. Proceedings of the Royal Society of Edinburgh, 55, 42–48. DOI ↗Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860White, H. (1980). A heteroskedasticity-consistent covariance matrix estimator and a direct test for heteroskedasticity. Econometrica, 48(4), 817–838. DOI ↗
Tên gọi khácGLS, Aitken estimator, EGLS, feasible GLSordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonuHC robust regression, White robust OLS, sandwich estimator OLS, OLS with robust standard errors
Liên quan356
Tóm tắtGeneralized Least Squares (GLS) is a linear regression estimator that extends ordinary least squares to handle situations where the error terms are correlated or have non-constant variance (heteroscedasticity). Introduced by Alexander Craig Aitken in 1935, GLS achieves the Best Linear Unbiased Estimator (BLUE) under a general error covariance structure by weighting observations according to their precision, providing a theoretical bridge between OLS and modern linear mixed models.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 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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ScholarGateSo sánh phương pháp: Generalized Least Squares · OLS Regression · Robust OLS. Truy cập ngày 2026-06-19 từ https://scholargate.app/vi/compare