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Generalized Least Squares (GLS)×Bình phương tối thiểu tổng quát cho dữ liệu bảng (Panel GLS)×OLS mạnh mẽ (OLS với sai số chuẩn mạnh mẽ)×
Lĩnh vựcThống kêKinh tế lượngKinh tế lượng
HọRegression modelRegression modelRegression model
Năm ra đời19351935 / developed for panels 1980s–1990s1980
Người khởi xướngAlexander Craig AitkenAitken (1935); extended to panel data by Baltagi and othersHalbert White
LoạiLinear estimatorGeneralized linear 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. (2010). Econometric Analysis of Cross Section and Panel Data (2nd ed.). MIT Press. ISBN: 978-0262232586White, 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 GLSPanel GLS, Generalized Least Squares for panel data, FGLS panel, feasible GLS panelHC robust regression, White robust OLS, sandwich estimator OLS, OLS with robust standard errors
Liên quan336
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.Panel GLS is a regression method for longitudinal data that explicitly models the non-spherical error structure — heteroscedasticity across units and serial correlation within units — to recover efficient coefficient estimates. Unlike OLS, it weights observations by the inverse of the error covariance matrix, yielding the Best Linear Unbiased Estimator when the error structure is correctly specified.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 · Panel GLS · Robust OLS. Truy cập ngày 2026-06-19 từ https://scholargate.app/vi/compare