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W-추정량 로버스트 회귀 (Welsch / Tukey Bisquare)×테일-센 추정량×
분야통계학통계학
계열Regression modelRegression model
기원 연도19741968
창시자Beaton & Tukey (bisquare weight); Welsch (Welsch weight)Henri Theil (1950); P. K. Sen (1968)
유형Robust regression (redescending M-estimator)Robust linear regression
원전Beaton, 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 ↗
별칭Tukey 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
관련46
요약The 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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