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Zobecněná metoda nejmenších čtverců (GLS)×Robustní metoda nejmenších čtverců (OLS s robustními standardními chybami)×
OborStatistikaEkonometrie
RodinaRegression modelRegression model
Rok vzniku19351980
TvůrceAlexander Craig AitkenHalbert White
TypLinear estimatorLinear regression with robust inference
Původní zdrojAitken, 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 ↗
Další názvyGLS, Aitken estimator, EGLS, feasible GLSHC robust regression, White robust OLS, sandwich estimator OLS, OLS with robust standard errors
Příbuzné36
ShrnutíGeneralized 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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ScholarGatePorovnat metody: Generalized Least Squares · Robust OLS. Získáno 2026-06-19 z https://scholargate.app/cs/compare