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Generalized Least Squares (GLS)×Regresi Kuasa Dua Terkecil Biasa (OLS)×OLS Teguh (OLS dengan Ralat Piawai Teguh)×
BidangStatistikEkonometrikEkonometrik
KeluargaRegression modelRegression modelRegression model
Tahun asal193520191980
PengasasAlexander Craig AitkenWooldridge (textbook treatment); classical least squaresHalbert White
JenisLinear estimatorLinear regressionLinear regression with robust inference
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 ↗Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860White, H. (1980). A heteroskedasticity-consistent covariance matrix estimator and a direct test for heteroskedasticity. Econometrica, 48(4), 817–838. DOI ↗
AliasGLS, Aitken estimator, EGLS, feasible GLSordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonuHC robust regression, White robust OLS, sandwich estimator OLS, OLS with robust standard errors
Berkaitan356
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.Ordinary Least Squares is the classical linear regression method that explains a continuous outcome as a linear combination of predictors. It estimates the coefficients by minimising the sum of squared residuals, and under the Gauss-Markov assumptions these estimates are the best linear unbiased estimator (BLUE).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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ScholarGateBandingkan kaedah: Generalized Least Squares · OLS Regression · Robust OLS. Dicapai 2026-06-19 daripada https://scholargate.app/ms/compare