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Generalized Least Squares (GLS)×Kuasa Dua Terkecil Berwajaran (WLS)×
BidangStatistikStatistik
KeluargaRegression modelRegression model
Tahun asal19351935
PengasasAlexander Craig AitkenAlexander Craig Aitken
JenisLinear estimatorWeighted linear estimator
Sumber perintisAitken, 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 ↗
AliasGLS, Aitken estimator, EGLS, feasible GLSWLS, weighted regression, heteroscedasticity-corrected OLS, variance-weighted least squares
Berkaitan33
RingkasanGeneralized 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.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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ScholarGateBandingkan kaedah: Generalized Least Squares · Weighted Least Squares. Dicapai 2026-06-19 daripada https://scholargate.app/ms/compare