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אומדן סטיית תקן מוחלטת חציונית (MAD)×רגרסיית ריבועים פחותים רגילים (OLS)×רגרסיית קוונטילים×רגרסיית רכס×
תחוםסטטיסטיקהאקונומטריקהאקונומטריקהלמידת מכונה
משפחהRegression modelRegression modelRegression modelMachine learning
שנת המקור1974201919781970
הוגה השיטהHampel (influence-curve treatment); classical robust statisticsWooldridge (textbook treatment); classical least squaresKoenker & BassettHoerl, A.E. & Kennard, R.W.
סוגRobust scale estimatorLinear regressionConditional quantile regressionL2-regularized linear regression
מקור מכונןHampel, 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: 978-1337558860Koenker, R. & Bassett, G., Jr. (1978). Regression Quantiles. Econometrica, 46(1), 33-50. DOI ↗Hoerl, A.E. & Kennard, R.W. (1970). Ridge Regression: Biased Estimation for Nonorthogonal Problems. Technometrics, 12(1), 55–67. DOI ↗
כינוייםmedian absolute deviation, MAD scale estimator, robust scale estimation, Medyan Mutlak Sapma (MAD) Tahminiordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonuconditional quantile regression, regression quantiles, Kantil RegresyonRidge Regresyonu, ridge regresyonu, L2-regularized regression, Tikhonov regularization
קשורות5554
תקצירMedian 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).Quantile regression models conditional quantiles of an outcome - the median, the 25th or 75th percentile, and so on - rather than the conditional mean that OLS targets. Introduced by Koenker and Bassett in 1978, it reveals how predictors act across the whole distribution, including its tails.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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ScholarGateהשוואת שיטות: MAD Estimation · OLS Regression · Quantile Regression · Ridge Regression. אוחזר בתאריך 2026-06-18 מתוך https://scholargate.app/he/compare