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Εκτίμηση της Διάμεσης Απόλυτης Απόκλισης (MAD)×Παλινδρόμηση Ελαχίστων Τετραγώνων (OLS)×Παλινδρόμηση Ridge×
ΠεδίοΣτατιστικήΟικονομετρίαΜηχανική Μάθηση
ΟικογένειαRegression modelRegression modelMachine learning
Έτος προέλευσης197420191970
ΔημιουργόςHampel (influence-curve treatment); classical robust statisticsWooldridge (textbook treatment); classical least squaresHoerl, A.E. & Kennard, R.W.
ΤύποςRobust scale estimatorLinear regressionL2-regularized linear regression
Θεμελιώδης πηγήHampel, F. R. (1974). The Influence Curve and Its Role in Robust Estimation. Journal of the American Statistical Association, 69(346), 383-393. DOI ↗Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860Hoerl, A.E. & Kennard, R.W. (1970). Ridge Regression: Biased Estimation for Nonorthogonal Problems. Technometrics, 12(1), 55–67. DOI ↗
Εναλλακτικές ονομασίεςmedian absolute deviation, MAD scale estimator, robust scale estimation, Medyan Mutlak Sapma (MAD) Tahminiordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonuRidge Regresyonu, ridge regresyonu, L2-regularized regression, Tikhonov regularization
Συναφείς554
ΣύνοψηMedian Absolute Deviation estimation is a robust measure of statistical dispersion that replaces the standard deviation when outliers are present. Rooted in the influence-curve framework formalised by Hampel (1974), it summarises the spread of a continuous variable using medians instead of means, so a single extreme value cannot distort the result.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).Ridge Regression is an L2-regularized linear regression method, introduced by Arthur Hoerl and Robert Kennard in 1970, that reduces multicollinearity by adding a penalty on the size of the coefficients. It shrinks coefficients toward zero without setting any of them exactly to zero, producing more stable estimates when predictors are highly correlated.
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ScholarGateΣύγκριση μεθόδων: MAD Estimation · OLS Regression · Ridge Regression. Ανακτήθηκε στις 2026-06-18 από https://scholargate.app/el/compare