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थेल-सेन अनुमानक×Least Trimmed Squares (LTS) रिग्रेशन×
क्षेत्रसांख्यिकीसांख्यिकी
परिवारRegression modelRegression model
उद्भव वर्ष19681984
प्रवर्तकHenri Theil (1950); P. K. Sen (1968)Peter J. Rousseeuw
प्रकारRobust linear regressionRobust linear regression
मौलिक स्रोतSen, P. K. (1968). Estimates of the Regression Coefficient Based on Kendall's Tau. Journal of the American Statistical Association, 63(324), 1379-1389. DOI ↗Rousseeuw, P. J. (1984). Least Median of Squares Regression. Journal of the American Statistical Association, 79(388), 871-880. DOI ↗
उपनामTheil-Sen Tahmincisi, Theil-Sen regression, median slope estimator, Sen's slope estimatorLTS, least trimmed squares regression, trimmed least squares, robust regression
संबंधित65
सारांशThe 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%.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.
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  3. PUBLISHED

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