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Generalizovani metod najmanjih kvadrata (GLS)×Regresija običnih najmanjih kvadrata (OLS)×Panel Generalized Least Squares (Panel GLS)×Robusni OLS (OLS sa robusnim standardnim greškama)×
OblastStatistikaEkonometrijaEkonometrijaEkonometrija
PorodicaRegression modelRegression modelRegression modelRegression model
Godina nastanka193520191935 / developed for panels 1980s–1990s1980
TvoracAlexander Craig AitkenWooldridge (textbook treatment); classical least squaresAitken (1935); extended to panel data by Baltagi and othersHalbert White
TipLinear estimatorLinear regressionGeneralized linear regressionLinear regression with robust inference
Temeljni izvorAitken, 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: 978-1337558860Wooldridge, 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 ↗
Drugi naziviGLS, Aitken estimator, EGLS, feasible 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
Srodne3536
SažetakGeneralized 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).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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ScholarGateUporedite metode: Generalized Least Squares · OLS Regression · Panel GLS · Robust OLS. Preuzeto 2026-06-19 sa https://scholargate.app/sr/compare