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Ważone Metody Najmniejszych Kwadratów (WLS)×Zwykła metoda najmniejszych kwadratów (OLS)×
DziedzinaStatystykaStatystyka
RodzinaRegression modelRegression model
Rok powstania19351805
TwórcaAlexander Craig AitkenAdrien-Marie Legendre (1805); Carl Friedrich Gauss (1809)
TypWeighted linear estimatorLinear parameter estimation
Źródło pierwotneAitken, A. C. (1935). IV.—On least squares and linear combination of observations. Proceedings of the Royal Society of Edinburgh, 55, 42–48. DOI ↗Legendre, A.-M. (1805). Nouvelles méthodes pour la détermination des orbites des comètes. Firmin Didot, Paris. [Appendix: Sur la Méthode des moindres quarrés, pp. 72–80.] link ↗
Inne nazwyWLS, weighted regression, heteroscedasticity-corrected OLS, variance-weighted least squaresOLS, OLS regression, linear least squares, classical linear regression
Pokrewne38
PodsumowanieWeighted 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.Ordinary Least Squares (OLS) is the canonical method for estimating the parameters of a linear regression model by minimizing the sum of squared differences between observed and predicted values. First published by Adrien-Marie Legendre in 1805 and independently developed by Carl Friedrich Gauss (who claimed priority from 1795), OLS is provably optimal under the Gauss-Markov theorem: given its assumptions, it yields the Best Linear Unbiased Estimator (BLUE) of the regression coefficients.
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ScholarGatePorównaj metody: Weighted Least Squares · Ordinary Least Squares. Pobrano 2026-06-19 z https://scholargate.app/pl/compare