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Robusni generalisani metod najmanjih kvadrata (Robusni GLS)×Generalizovani metod najmanjih kvadrata (GLS)×Regresija običnih najmanjih kvadrata (OLS)×Robusni OLS (OLS sa robusnim standardnim greškama)×
OblastEkonometrijaStatistikaEkonometrijaEkonometrija
PorodicaRegression modelRegression modelRegression modelRegression model
Godina nastanka1936 / 1980193520191980
TvoracAitken (GLS theory, 1936); White (robust covariance, 1980)Alexander Craig AitkenWooldridge (textbook treatment); classical least squaresHalbert White
TipRobust linear regressionLinear estimatorLinear regressionLinear regression with robust inference
Temeljni izvorGreene, 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 ↗
Drugi nazivirobust 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
Srodne5356
SažetakRobust 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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ScholarGateUporedite metode: Robust GLS · Generalized Least Squares · OLS Regression · Robust OLS. Preuzeto 2026-06-19 sa https://scholargate.app/sr/compare