方法对比
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| 稳健分位数回归× | 稳健多元线性回归× | |
|---|---|---|
| 领域 | 统计学 | 统计学 |
| 方法族 | Regression model | Regression model |
| 起源年份≠ | 1993–1997 | 1964–1980s |
| 提出者≠ | Koenker & Bassett (1978); robust extensions by Machado (1993) and He (1997) | Peter J. Huber (M-estimators, 1964); extended by Rousseeuw, Yohai, and Maronna |
| 类型≠ | Robust semiparametric regression | Robust linear regression |
| 开创性文献≠ | Koenker, R. (2005). Quantile Regression. Cambridge University Press. ISBN: 978-0521608275 | Huber, P. J. (1964). Robust estimation of a location parameter. Annals of Mathematical Statistics, 35(1), 73–101. DOI ↗ |
| 别名 | robust QR, outlier-resistant quantile regression, bounded-influence quantile regression, RQR | robust MLR, M-estimator regression, resistant multiple regression, robust OLS |
| 相关 | 6 | 6 |
| 摘要≠ | Robust Quantile Regression estimates conditional quantiles of a response variable while simultaneously downweighting the influence of outliers. By combining the asymmetric loss function of standard quantile regression with bounded-influence or M-estimation weights, it provides reliable quantile estimates even when data contain extreme observations or heavy-tailed error distributions. | Robust multiple linear regression estimates the linear relationship between a continuous outcome and several predictors while being resistant to outliers and violations of the normality assumption. Instead of minimising the sum of squared residuals, it uses a bounded loss function — most commonly Huber's or Tukey's bisquare — so that extreme observations receive limited influence on the estimated coefficients. |
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