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Robust Generaliserede mindste kvadrater (Robust GLS)×Almindelig mindste kvadraters metode (OLS) regression×Panel Generaliserede Mindste Kvadraters Metode (Panel GLS)×Robust OLS (OLS med robuste standardfejl)×
FagområdeØkonometriØkonometriØkonometriØkonometri
FamilieRegression modelRegression modelRegression modelRegression model
Oprindelsesår1936 / 198020191935 / developed for panels 1980s–1990s1980
OphavspersonAitken (GLS theory, 1936); White (robust covariance, 1980)Wooldridge (textbook treatment); classical least squaresAitken (1935); extended to panel data by Baltagi and othersHalbert White
TypeRobust linear regressionLinear regressionGeneralized linear regressionLinear regression with robust inference
Oprindelig kildeGreene, W. H. (2012). Econometric Analysis (7th ed.). Pearson. Chapter 9: The Generalized Regression Model and Heteroscedasticity. ISBN: 978-0131395381Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860Wooldridge, 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 ↗
Aliasserrobust generalized least squares, GLS with robust standard errors, heteroscedasticity-consistent GLS, HC-GLSordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonuPanel 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
Relaterede5536
ResuméRobust 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.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).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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ScholarGateSammenlign metoder: Robust GLS · OLS Regression · Panel GLS · Robust OLS. Hentet 2026-06-18 fra https://scholargate.app/da/compare