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| المربعات الصغرى العادية (OLS) مع أخطاء معيارية قوية× | التقدير المربعات الصغرى المعممة (GLS)× | |
|---|---|---|
| المجال≠ | الاقتصاد القياسي | الإحصاء |
| العائلة | Regression model | Regression model |
| سنة النشأة≠ | 1980 | 1935 |
| صاحب الطريقة≠ | Halbert White | Alexander Craig Aitken |
| النوع≠ | Linear regression with robust inference | Linear estimator |
| المصدر التأسيسي≠ | White, 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 ↗ |
| الأسماء البديلة≠ | HC robust regression, White robust OLS, sandwich estimator OLS, OLS with robust standard errors | GLS, Aitken estimator, EGLS, feasible GLS |
| ذات صلة≠ | 6 | 3 |
| الملخص≠ | 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. | 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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