Comparer des méthodes

	Moindres Carrés Pondérés Robustes (Robust WLS)	Moindres Carrés Pondérés (MCP)
Domaine	Économétrie	Statistique
Famille	Regression model	Regression model
Année d'origine	1964/1981	1935
Auteur d'origine	Huber, P. J.	Alexander Craig Aitken
Type	Robust weighted regression	Weighted linear estimator
Source fondatrice	Huber, P. J. (1981). Robust Statistics. Wiley. ISBN: 978-0471418054	Aitken, A. C. (1935). IV.—On least squares and linear combination of observations. Proceedings of the Royal Society of Edinburgh, 55, 42–48.
Alias	robust weighted least squares, RWLS, heteroscedasticity-robust WLS, outlier-robust weighted regression	WLS, weighted regression, heteroscedasticity-corrected OLS, variance-weighted least squares
Apparentées	5	3
Résumé	Robust WLS combines weighted least squares — which corrects for known or estimated heteroscedasticity — with robust M-estimation that down-weights influential outliers. The result is a regression estimator that is simultaneously efficient under non-constant error variance and resistant to observations that would otherwise distort coefficient estimates.	Weighted Least Squares is a generalization of Ordinary Least Squares (OLS) regression that assigns each observation a weight inversely proportional to its error variance, thereby down-weighting high-variance data points and up-weighting precise ones. Introduced in its general matrix form by Alexander Craig Aitken in 1935, WLS is the canonical remedy when heteroscedasticity is present and the error variance structure is known or can be reliably estimated.