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| ロバスト線形回帰× | 分位点回帰× | |
|---|---|---|
| 分野≠ | 機械学習 | 計量経済学 |
| 系統≠ | Machine learning | Regression model |
| 提唱年≠ | 1964–1987 | 1978 |
| 提唱者≠ | Huber, P. J.; Rousseeuw, P. J. | Koenker & Bassett |
| 種類≠ | Outlier-resistant supervised regression | Conditional quantile regression |
| 原典≠ | Huber, P. J. (1964). Robust Estimation of a Location Parameter. Annals of Mathematical Statistics, 35(1), 73–101. DOI ↗ | Koenker, R. & Bassett, G., Jr. (1978). Regression Quantiles. Econometrica, 46(1), 33-50. DOI ↗ |
| 別名≠ | robust regression, M-estimator regression, Huber regression, outlier-resistant regression | conditional quantile regression, regression quantiles, Kantil Regresyon |
| 関連 | 5 | 5 |
| 概要≠ | Robust linear regression fits a linear model between predictors and a continuous outcome while down-weighting or discarding influential outliers, preventing the few anomalous observations that OLS is famously sensitive to from distorting the entire estimated line. Major variants include Huber regression, iteratively reweighted least squares (IRLS), RANSAC, and Theil-Sen estimation. | 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. |
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