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Üldistatud vähimate ruutude meetod (GLS)×Robust OLS (OLS robustsete standardvigadega)×
ValdkondStatistikaÖkonomeetria
PerekondRegression modelRegression model
Tekkeaasta19351980
LoojaAlexander Craig AitkenHalbert White
TüüpLinear estimatorLinear regression with robust inference
AlgallikasAitken, A. C. (1935). IV.—On least squares and linear combination of observations. Proceedings of the Royal Society of Edinburgh, 55, 42–48. DOI ↗White, H. (1980). A heteroskedasticity-consistent covariance matrix estimator and a direct test for heteroskedasticity. Econometrica, 48(4), 817–838. DOI ↗
RööpnimetusedGLS, Aitken estimator, EGLS, feasible GLSHC robust regression, White robust OLS, sandwich estimator OLS, OLS with robust standard errors
Seotud36
KokkuvõteGeneralized 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.Robust OLS applies ordinary least squares to estimate coefficients and then replaces the classical standard errors with heteroscedasticity-consistent (HC) standard errors — commonly called White standard errors. This leaves the point estimates unchanged while yielding valid t-statistics and confidence intervals even when the error variance is not constant across observations.
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ScholarGateVõrdle meetodeid: Generalized Least Squares · Robust OLS. Loetud 2026-06-19 aadressilt https://scholargate.app/et/compare