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| רגרסיית ריבועים זעירים חתוכים (Least Trimmed Squares - LTS)× | אומד תייל-סן× | |
|---|---|---|
| תחום | סטטיסטיקה | סטטיסטיקה |
| משפחה | Regression model | Regression model |
| שנת המקור≠ | 1984 | 1968 |
| הוגה השיטה≠ | Peter J. Rousseeuw | Henri Theil (1950); P. K. Sen (1968) |
| סוג | Robust linear regression | Robust linear regression |
| מקור מכונן≠ | Rousseeuw, 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 ↗ |
| כינויים | LTS, least trimmed squares regression, trimmed least squares, robust regression | Theil-Sen Tahmincisi, Theil-Sen regression, median slope estimator, Sen's slope estimator |
| קשורות≠ | 5 | 6 |
| תקציר≠ | 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. | 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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