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분야통계학통계학
계열Regression modelRegression model
기원 연도19871968
창시자Victor J. YohaiHenri Theil (1950); P. K. Sen (1968)
유형Robust linear regressionRobust linear regression
원전Yohai, V. J. (1987). High Breakdown-Point and High Efficiency Robust Estimates for Regression. Annals of Statistics, 15(2), 642-656. 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 ↗
별칭MM-estimation, MM robust regression, high-breakdown high-efficiency estimator, MM-Tahmin EdiciTheil-Sen Tahmincisi, Theil-Sen regression, median slope estimator, Sen's slope estimator
관련56
요약The 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.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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