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OLS مقاوم (خطاهای استاندارد OLS با خطاهای استاندارد مقاوم)×حداقل مربعات تعمیم‌یافته (GLS)×
حوزهاقتصادسنجیآمار
خانوادهRegression modelRegression model
سال پیدایش19801935
پدیدآورHalbert WhiteAlexander Craig Aitken
نوعLinear regression with robust inferenceLinear estimator
منبع بنیادینWhite, H. (1980). A heteroskedasticity-consistent covariance matrix estimator and a direct test for heteroskedasticity. Econometrica, 48(4), 817–838. 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 ↗
نام‌های دیگرHC robust regression, White robust OLS, sandwich estimator OLS, OLS with robust standard errorsGLS, Aitken estimator, EGLS, feasible GLS
مرتبط63
خلاصهRobust 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.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.
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ScholarGateمقایسهٔ روش‌ها: Robust OLS · Generalized Least Squares. بازیابی‌شده در 2026-06-18 از https://scholargate.app/fa/compare