手法を比較
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| ロバスト一般化最小二乗法 (Robust GLS)× | 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≠ | 1936 / 1980 | 1980 |
| 提唱者≠ | Aitken (GLS theory, 1936); White (robust covariance, 1980) | Halbert White |
| 種類≠ | Robust linear regression | Linear regression with robust inference |
| 原典≠ | Greene, W. H. (2012). Econometric Analysis (7th ed.). Pearson. Chapter 9: The Generalized Regression Model and Heteroscedasticity. ISBN: 978-0131395381 | White, H. (1980). A heteroskedasticity-consistent covariance matrix estimator and a direct test for heteroskedasticity. Econometrica, 48(4), 817–838. DOI ↗ |
| 別名 | robust generalized least squares, GLS with robust standard errors, heteroscedasticity-consistent GLS, HC-GLS | HC robust regression, White robust OLS, sandwich estimator OLS, OLS with robust standard errors |
| 関連≠ | 5 | 6 |
| 概要≠ | Robust GLS extends classical Generalized Least Squares by pairing GLS coefficient estimation with heteroscedasticity- and autocorrelation-consistent (HAC) standard errors, or by using M-estimation within the GLS framework. It corrects for non-spherical errors — heteroscedasticity, autocorrelation, or both — while also guarding inference against misspecification of the error covariance structure. | 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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