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분야통계학통계학
계열Regression modelRegression model
기원 연도19841968
창시자Peter J. RousseeuwHenri Theil (1950); P. K. Sen (1968)
유형Robust linear regressionRobust linear regression
원전Rousseeuw, P. J. (1984). Least Median of Squares Regression. Journal of the American Statistical Association, 79(388), 871-880. 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 ↗
별칭LTS, least trimmed squares regression, trimmed least squares, robust regressionTheil-Sen Tahmincisi, Theil-Sen regression, median slope estimator, Sen's slope estimator
관련56
요약Least 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 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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