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Robust Weighted Least Squares (Robust WLS)×Vektet minste kvadraters metode (WLS)×
FagfeltØkonometriStatistikk
FamilieRegression modelRegression model
Opprinnelsesår1964/19811935
OpphavspersonHuber, P. J.Alexander Craig Aitken
TypeRobust weighted regressionWeighted linear estimator
Opprinnelig kildeHuber, P. J. (1981). Robust Statistics. Wiley. ISBN: 978-0471418054Aitken, A. C. (1935). IV.—On least squares and linear combination of observations. Proceedings of the Royal Society of Edinburgh, 55, 42–48. DOI ↗
Aliasrobust weighted least squares, RWLS, heteroscedasticity-robust WLS, outlier-robust weighted regressionWLS, weighted regression, heteroscedasticity-corrected OLS, variance-weighted least squares
Relaterte53
SammendragRobust 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.
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ScholarGateSammenlign metoder: Robust WLS · Weighted Least Squares. Hentet 2026-06-18 fra https://scholargate.app/no/compare