Compară metode
Examinează metodele selectate una lângă alta; rândurile care diferă sunt evidențiate.
| Regresia prin metoda celor mai mici pătrate trunchiate (LTS)× | Estimarea MM pentru regresia robustă× | Regresia cuantilică× | |
|---|---|---|---|
| Domeniu≠ | Statistică | Statistică | Econometrie |
| Familie | Regression model | Regression model | Regression model |
| Anul apariției≠ | 1984 | 1987 | 1978 |
| Autorul original≠ | Peter J. Rousseeuw | Victor J. Yohai | Koenker & Bassett |
| Tip≠ | Robust linear regression | Robust linear regression | Conditional quantile regression |
| Sursa seminală≠ | Rousseeuw, P. J. (1984). Least Median of Squares Regression. Journal of the American Statistical Association, 79(388), 871-880. DOI ↗ | Yohai, V. J. (1987). High Breakdown-Point and High Efficiency Robust Estimates for Regression. Annals of Statistics, 15(2), 642-656. DOI ↗ | Koenker, R. & Bassett, G., Jr. (1978). Regression Quantiles. Econometrica, 46(1), 33-50. DOI ↗ |
| Denumiri alternative≠ | LTS, least trimmed squares regression, trimmed least squares, robust regression | MM-estimation, MM robust regression, high-breakdown high-efficiency estimator, MM-Tahmin Edici | conditional quantile regression, regression quantiles, Kantil Regresyon |
| Înrudite | 5 | 5 | 5 |
| Rezumat≠ | Least Trimmed Squares is a robust linear regression method introduced by Peter J. Rousseeuw in 1984. Instead of fitting all residuals, it estimates the coefficients by minimising the sum of only the h smallest squared residuals, which gives it a breakdown point of up to 50% and reliable estimates on data heavily contaminated by outliers. | The MM-estimator is a robust linear regression method introduced by Victor J. Yohai in 1987. It combines the high breakdown point of an S-estimator with the high efficiency of an M-estimator, so it resists outliers strongly while still using the data efficiently when errors are well-behaved. | 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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