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Tổng bình phương nhỏ nhất tổng quát mạnh mẽ (Robust GLS)×Generalized Least Squares (GLS)×Hồi quy Bình phương Tối thiểu Thông thường (OLS)×OLS mạnh mẽ (OLS với sai số chuẩn mạnh mẽ)×
Lĩnh vựcKinh tế lượngThống kêKinh tế lượngKinh tế lượng
HọRegression modelRegression modelRegression modelRegression model
Năm ra đời1936 / 1980193520191980
Người khởi xướngAitken (GLS theory, 1936); White (robust covariance, 1980)Alexander Craig AitkenWooldridge (textbook treatment); classical least squaresHalbert White
LoạiRobust linear regressionLinear estimatorLinear regressionLinear regression with robust inference
Công trình gốcGreene, W. H. (2012). Econometric Analysis (7th ed.). Pearson. Chapter 9: The Generalized Regression Model and Heteroscedasticity. ISBN: 978-0131395381Aitken, 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 khácrobust generalized least squares, GLS with robust standard errors, heteroscedasticity-consistent GLS, HC-GLSGLS, 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 quan5356
Tóm tắtRobust 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.Generalized 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: Robust GLS · Generalized Least Squares · OLS Regression · Robust OLS. Truy cập ngày 2026-06-19 từ https://scholargate.app/vi/compare