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| ロバスト加重最小二乗法 (Robust WLS)× | 頑健OLS(頑健標準誤差付きOLS)× | |
|---|---|---|
| 分野 | 計量経済学 | 計量経済学 |
| 系統 | Regression model | Regression model |
| 提唱年≠ | 1964/1981 | 1980 |
| 提唱者≠ | Huber, P. J. | Halbert White |
| 種類≠ | Robust weighted regression | Linear regression with robust inference |
| 原典≠ | Huber, P. J. (1981). Robust Statistics. Wiley. ISBN: 978-0471418054 | White, H. (1980). A heteroskedasticity-consistent covariance matrix estimator and a direct test for heteroskedasticity. Econometrica, 48(4), 817–838. DOI ↗ |
| 別名 | robust weighted least squares, RWLS, heteroscedasticity-robust WLS, outlier-robust weighted regression | HC robust regression, White robust OLS, sandwich estimator OLS, OLS with robust standard errors |
| 関連≠ | 5 | 6 |
| 概要≠ | Robust WLS combines weighted least squares — which corrects for known or estimated heteroscedasticity — with robust M-estimation that down-weights influential outliers. The result is a regression estimator that is simultaneously efficient under non-constant error variance and resistant to observations that would otherwise distort coefficient estimates. | 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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