方法对比
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| 分位数回归× | 稳健广义最小二乘法 (Robust GLS)× | 稳健OLS(具有稳健标准误的OLS)× | |
|---|---|---|---|
| 领域 | 计量经济学 | 计量经济学 | 计量经济学 |
| 方法族 | Regression model | Regression model | Regression model |
| 起源年份≠ | 1978 | 1936 / 1980 | 1980 |
| 提出者≠ | Koenker & Bassett | Aitken (GLS theory, 1936); White (robust covariance, 1980) | Halbert White |
| 类型≠ | Conditional quantile regression | Robust linear regression | Linear regression with robust inference |
| 开创性文献≠ | Koenker, R. & Bassett, G., Jr. (1978). Regression Quantiles. Econometrica, 46(1), 33-50. DOI ↗ | 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 ↗ |
| 别名≠ | conditional quantile regression, regression quantiles, Kantil Regresyon | 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 |
| 相关≠ | 5 | 5 | 6 |
| 摘要≠ | Quantile regression models conditional quantiles of an outcome - the median, the 25th or 75th percentile, and so on - rather than the conditional mean that OLS targets. Introduced by Koenker and Bassett in 1978, it reveals how predictors act across the whole distribution, including its tails. | 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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