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| Minimi Quadrati Generalizzati (GLS)× | Regression with Ordinary Least Squares (OLS)× | Minimo Quadrati Generalizzati su Dati Panel (Panel GLS)× | OLS Robusto (OLS con Errori Standard Robusti)× | |
|---|---|---|---|---|
| Campo≠ | Statistica | Econometria | Econometria | Econometria |
| Famiglia | Regression model | Regression model | Regression model | Regression model |
| Anno di origine≠ | 1935 | 2019 | 1935 / developed for panels 1980s–1990s | 1980 |
| Ideatore≠ | Alexander Craig Aitken | Wooldridge (textbook treatment); classical least squares | Aitken (1935); extended to panel data by Baltagi and others | Halbert White |
| Tipo≠ | Linear estimator | Linear regression | Generalized linear regression | Linear regression with robust inference |
| Fonte seminale≠ | Aitken, 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: 978-1337558860 | Wooldridge, J. M. (2010). Econometric Analysis of Cross Section and Panel Data (2nd ed.). MIT Press. ISBN: 978-0262232586 | White, H. (1980). A heteroskedasticity-consistent covariance matrix estimator and a direct test for heteroskedasticity. Econometrica, 48(4), 817–838. DOI ↗ |
| Alias≠ | GLS, Aitken estimator, EGLS, feasible GLS | ordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu | Panel GLS, Generalized Least Squares for panel data, FGLS panel, feasible GLS panel | HC robust regression, White robust OLS, sandwich estimator OLS, OLS with robust standard errors |
| Correlati≠ | 3 | 5 | 3 | 6 |
| Sintesi≠ | 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). | 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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