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영향력 진단 (쿡 거리, DFFITS, 레버리지)×중앙값 절대 편차 (MAD) 추정×최소제곱법(OLS) 회귀×조건부 분위수 회귀×릿지 회귀(Ridge Regression)×
분야통계학통계학계량경제학계량경제학머신러닝
계열Regression modelRegression modelRegression modelRegression modelMachine learning
기원 연도19771974201919781970
창시자R. Dennis Cook (Cook's distance); Belsley, Kuh & Welsch (DFFITS, leverage)Hampel (influence-curve treatment); classical robust statisticsWooldridge (textbook treatment); classical least squaresKoenker & BassettHoerl, A.E. & Kennard, R.W.
유형Regression diagnosticRobust scale estimatorLinear regressionConditional quantile regressionL2-regularized linear regression
원전Cook, R. D. (1977). Detection of Influential Observations in Linear Regression. Technometrics, 19(1), 15-18. DOI ↗Hampel, 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 ↗
별칭Cook's distance, DFFITS, leverage, influential observation detectionmedian 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
관련55554
요약Influence 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.Median 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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ScholarGate방법 비교: Influence Diagnostics · MAD Estimation · OLS Regression · Quantile Regression · Ridge Regression. 2026-06-18에 다음에서 검색함: https://scholargate.app/ko/compare