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| Метод на най-малките квадрати (МНК)× | S-оценка за робастна регресия× | Оценител на Theil-Sen× | |
|---|---|---|---|
| Област≠ | Иконометрия | Статистика | Статистика |
| Семейство | Regression model | Regression model | Regression model |
| Година на възникване≠ | 2019 | 1984 | 1968 |
| Създател≠ | Wooldridge (textbook treatment); classical least squares | Rousseeuw & Yohai (1984) | Henri Theil (1950); P. K. Sen (1968) |
| Тип≠ | Linear regression | Robust linear regression | Robust linear regression |
| Основополагащ източник≠ | Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860 | Rousseeuw, P. J. & Yohai, V. J. (1984). Robust Regression by Means of S-Estimators. In Robust and Nonlinear Time Series Analysis (Lecture Notes in Statistics, Vol. 26, pp. 256-272). Springer. 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 ↗ |
| Други названия≠ | ordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu | S-estimation, robust S-regression, S-Tahmin Edici | Theil-Sen Tahmincisi, Theil-Sen regression, median slope estimator, Sen's slope estimator |
| Свързани≠ | 5 | 5 | 6 |
| Резюме≠ | Ordinary Least Squares is the classical linear regression method that explains a continuous outcome as a linear combination of predictors. It estimates the coefficients by minimising the sum of squared residuals, and under the Gauss-Markov assumptions these estimates are the best linear unbiased estimator (BLUE). | The S-estimator is a robust linear-regression method, introduced by Rousseeuw and Yohai in 1984, that estimates the coefficients by minimising a robust M-estimate of the residual scale rather than the variance of the residuals. By driving down a bounded measure of residual spread it can attain a breakdown point of up to 50%, so it stays reliable even when a large share of the data are outliers, and it provides the first stage of the well-known MM-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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