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Diagnostics d'influence (Distance de Cook, DFFITS, Effet de levier)×Régression par Moindres Carrés Ordinaires (MCO)×Régression quantile×Régression Ridge×
DomaineStatistiqueÉconométrieÉconométrieApprentissage automatique
FamilleRegression modelRegression modelRegression modelMachine learning
Année d'origine1977201919781970
Auteur d'origineR. Dennis Cook (Cook's distance); Belsley, Kuh & Welsch (DFFITS, leverage)Wooldridge (textbook treatment); classical least squaresKoenker & BassettHoerl, A.E. & Kennard, R.W.
TypeRegression diagnosticLinear regressionConditional quantile regressionL2-regularized linear regression
Source fondatriceCook, R. D. (1977). Detection of Influential Observations in Linear Regression. Technometrics, 19(1), 15-18. 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 ↗
AliasCook's distance, DFFITS, leverage, influential observation detectionordinary 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
Apparentées5554
RésuméInfluence diagnostics are a family of post-fit measures that quantify how much each single observation affects a fitted regression. Cook's distance was introduced by R. Dennis Cook in 1977, with leverage and DFFITS formalised by Belsley, Kuh and Welsch in 1980, to flag the observations that most strongly pull the estimated coefficients.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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ScholarGateComparer des méthodes: Influence Diagnostics · OLS Regression · Quantile Regression · Ridge Regression. Consulté le 2026-06-18 sur https://scholargate.app/fr/compare