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강건 일반화 최소제곱법 (Robust GLS)×일반화 최소제곱법 (GLS)×강건 OLS (강건 표준 오차를 사용한 OLS)×
분야계량경제학통계학계량경제학
계열Regression modelRegression modelRegression model
기원 연도1936 / 198019351980
창시자Aitken (GLS theory, 1936); White (robust covariance, 1980)Alexander Craig AitkenHalbert White
유형Robust linear regressionLinear estimatorLinear regression with robust inference
원전Greene, 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 ↗White, H. (1980). A heteroskedasticity-consistent covariance matrix estimator and a direct test for heteroskedasticity. Econometrica, 48(4), 817–838. DOI ↗
별칭robust generalized least squares, GLS with robust standard errors, heteroscedasticity-consistent GLS, HC-GLSGLS, Aitken estimator, EGLS, feasible GLSHC robust regression, White robust OLS, sandwich estimator OLS, OLS with robust standard errors
관련536
요약Robust 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.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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ScholarGate방법 비교: Robust GLS · Generalized Least Squares · Robust OLS. 2026-06-19에 다음에서 검색함: https://scholargate.app/ko/compare