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| Uogólniona metoda najmniejszych kwadratów (Robust GLS)× | Metoda najmniejszych kwadratów uogólnionych (GLS)× | |
|---|---|---|
| Dziedzina≠ | Ekonometria | Statystyka |
| Rodzina | Regression model | Regression model |
| Rok powstania≠ | 1936 / 1980 | 1935 |
| Twórca≠ | Aitken (GLS theory, 1936); White (robust covariance, 1980) | Alexander Craig Aitken |
| Typ≠ | Robust linear regression | Linear estimator |
| Źródło pierwotne≠ | Greene, W. H. (2012). Econometric Analysis (7th ed.). Pearson. Chapter 9: The Generalized Regression Model and Heteroscedasticity. ISBN: 978-0131395381 | Aitken, A. C. (1935). IV.—On least squares and linear combination of observations. Proceedings of the Royal Society of Edinburgh, 55, 42–48. DOI ↗ |
| Inne nazwy≠ | robust generalized least squares, GLS with robust standard errors, heteroscedasticity-consistent GLS, HC-GLS | GLS, Aitken estimator, EGLS, feasible GLS |
| Pokrewne≠ | 5 | 3 |
| Podsumowanie≠ | Robust 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. |
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