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رگرسیون خطی چندگانه مقاوم×رگرسیون کوانتایل×
حوزهآماراقتصادسنجی
خانوادهRegression modelRegression model
سال پیدایش1964–1980s1978
پدیدآورPeter J. Huber (M-estimators, 1964); extended by Rousseeuw, Yohai, and MaronnaKoenker & Bassett
نوعRobust linear regressionConditional quantile regression
منبع بنیادینHuber, P. J. (1964). Robust estimation of a location parameter. Annals of Mathematical Statistics, 35(1), 73–101. DOI ↗Koenker, R. & Bassett, G., Jr. (1978). Regression Quantiles. Econometrica, 46(1), 33-50. DOI ↗
نام‌های دیگرrobust MLR, M-estimator regression, resistant multiple regression, robust OLSconditional quantile regression, regression quantiles, Kantil Regresyon
مرتبط65
خلاصهRobust multiple linear regression estimates the linear relationship between a continuous outcome and several predictors while being resistant to outliers and violations of the normality assumption. Instead of minimising the sum of squared residuals, it uses a bounded loss function — most commonly Huber's or Tukey's bisquare — so that extreme observations receive limited influence on the estimated coefficients.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.
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ScholarGateمقایسهٔ روش‌ها: Robust Multiple linear regression · Quantile Regression. بازیابی‌شده در 2026-06-15 از https://scholargate.app/fa/compare