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| Wytrzymała (robustna) regresja liniowa wielorazowa× | Regresja kwantylowa× | |
|---|---|---|
| Dziedzina≠ | Statystyka | Ekonometria |
| Rodzina | Regression model | Regression model |
| Rok powstania≠ | 1964–1980s | 1978 |
| Twórca≠ | Peter J. Huber (M-estimators, 1964); extended by Rousseeuw, Yohai, and Maronna | Koenker & Bassett |
| Typ≠ | Robust linear regression | Conditional quantile regression |
| Źródło pierwotne≠ | 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 ↗ |
| Inne nazwy≠ | robust MLR, M-estimator regression, resistant multiple regression, robust OLS | conditional quantile regression, regression quantiles, Kantil Regresyon |
| Pokrewne≠ | 6 | 5 |
| Podsumowanie≠ | 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. | 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. |
| ScholarGateZbiór danych ↗ |
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