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Ważone Metody Najmniejszych Kwadratów (WLS)×Metoda najmniejszych kwadratów uogólnionych (GLS)×
DziedzinaStatystykaStatystyka
RodzinaRegression modelRegression model
Rok powstania19351935
TwórcaAlexander Craig AitkenAlexander Craig Aitken
TypWeighted linear estimatorLinear estimator
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 ↗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 nazwyWLS, weighted regression, heteroscedasticity-corrected OLS, variance-weighted least squaresGLS, Aitken estimator, EGLS, feasible GLS
Pokrewne33
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.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.
ScholarGateZbiór danych
  1. v1
  2. 3 Źródła
  3. PUBLISHED
  1. v1
  2. 3 Źródła
  3. PUBLISHED

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ScholarGatePorównaj metody: Weighted Least Squares · Generalized Least Squares. Pobrano 2026-06-19 z https://scholargate.app/pl/compare