مقایسهٔ روشها
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| OLS مقاوم (خطاهای استاندارد OLS با خطاهای استاندارد مقاوم)× | رگرسیون حداقل مربعات وزنی (WLS)× | |
|---|---|---|
| حوزه≠ | اقتصادسنجی | آمار |
| خانواده | Regression model | Regression model |
| سال پیدایش≠ | 1980 | 1935 |
| پدیدآور≠ | Halbert White | Alexander Craig Aitken |
| نوع≠ | Linear regression with robust inference | Weighted linear estimator |
| منبع بنیادین≠ | 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 ↗ |
| نامهای دیگر | HC robust regression, White robust OLS, sandwich estimator OLS, OLS with robust standard errors | WLS, weighted regression, heteroscedasticity-corrected OLS, variance-weighted least squares |
| مرتبط≠ | 6 | 3 |
| خلاصه≠ | 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. | Weighted Least Squares is a generalization of Ordinary Least Squares (OLS) regression that assigns each observation a weight inversely proportional to its error variance, thereby down-weighting high-variance data points and up-weighting precise ones. Introduced in its general matrix form by Alexander Craig Aitken in 1935, WLS is the canonical remedy when heteroscedasticity is present and the error variance structure is known or can be reliably estimated. |
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