Võrdle meetodeid
Vaata valitud meetodeid kõrvuti; erinevad read on esile tõstetud.
| Robustne üldistatud vähimruutude meetod (Robust GLS)× | Üldistatud vähimate ruutude meetod (GLS)× | |
|---|---|---|
| Valdkond≠ | Ökonomeetria | Statistika |
| Perekond | Regression model | Regression model |
| Tekkeaasta≠ | 1936 / 1980 | 1935 |
| Looja≠ | Aitken (GLS theory, 1936); White (robust covariance, 1980) | Alexander Craig Aitken |
| Tüüp≠ | Robust linear regression | Linear estimator |
| Algallikas≠ | 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 ↗ |
| Rööpnimetused≠ | robust generalized least squares, GLS with robust standard errors, heteroscedasticity-consistent GLS, HC-GLS | GLS, Aitken estimator, EGLS, feasible GLS |
| Seotud≠ | 5 | 3 |
| Kokkuvõte≠ | 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. |
| ScholarGateAndmestik ↗ |
|
|