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| Ước lượng W cho Hồi quy Mạnh mẽ (Welsch / Tukey Bisquare)× | Ước lượng Theil-Sen× | |
|---|---|---|
| Lĩnh vực | Thống kê | Thống kê |
| Họ | Regression model | Regression model |
| Năm ra đời≠ | 1974 | 1968 |
| Người khởi xướng≠ | Beaton & Tukey (bisquare weight); Welsch (Welsch weight) | Henri Theil (1950); P. K. Sen (1968) |
| Loại≠ | Robust regression (redescending M-estimator) | Robust linear regression |
| Công trình gốc≠ | Beaton, A. E. & Tukey, J. W. (1974). The Fitting of Power Series, Meaning Polynomials, Illustrated on Band-Spectroscopic Data. Technometrics, 16(2), 147-185. DOI ↗ | Sen, P. K. (1968). Estimates of the Regression Coefficient Based on Kendall's Tau. Journal of the American Statistical Association, 63(324), 1379-1389. DOI ↗ |
| Tên gọi khác≠ | Tukey bisquare M-estimator, Welsch M-estimator, redescending M-estimator, W-Tahmin Edici (Welsch / Tukey Bisquare) | Theil-Sen Tahmincisi, Theil-Sen regression, median slope estimator, Sen's slope estimator |
| Liên quan≠ | 4 | 6 |
| Tóm tắt≠ | The W-estimator is a family of robust M-estimator variants for linear regression that use the Tukey bisquare and Welsch weight functions, introduced in the line of work going back to Beaton and Tukey (1974). Because its weights fall rapidly toward zero as a residual grows, it resists outliers more strongly than the Huber M-estimator. | The Theil-Sen estimator is a robust linear regression method that estimates the slope as the median of the slopes computed over all pairs of data points. Introduced by Henri Theil in 1950 and extended by P. K. Sen in 1968, it tolerates outliers in the response with a breakdown point of about 29%. |
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