Σύγκριση μεθόδων

	Παλινδρόμηση Ελαχίστων Τετραγώνων (OLS)	S-εκτιμητής για στιβαρή παλινδρόμηση
Πεδίο	Οικονομετρία	Στατιστική
Οικογένεια	Regression model	Regression model
Έτος προέλευσης	2019	1984
Δημιουργός	Wooldridge (textbook treatment); classical least squares	Rousseeuw & Yohai (1984)
Τύπος	Linear regression	Robust linear regression
Θεμελιώδης πηγή	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.
Εναλλακτικές ονομασίες	ordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu	S-estimation, robust S-regression, S-Tahmin Edici
Συναφείς	5	5
Σύνοψη	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.