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رگرسیون خطی چندگانه مقاوم×رگرسیون حداقل مربعات معمولی (OLS)×
حوزهآماراقتصادسنجی
خانوادهRegression modelRegression model
سال پیدایش1964–1980s2019
پدیدآورPeter J. Huber (M-estimators, 1964); extended by Rousseeuw, Yohai, and MaronnaWooldridge (textbook treatment); classical least squares
نوعRobust linear regressionLinear regression
منبع بنیادینHuber, P. J. (1964). Robust estimation of a location parameter. Annals of Mathematical Statistics, 35(1), 73–101. DOI ↗Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860
نام‌های دیگرrobust MLR, M-estimator regression, resistant multiple regression, robust OLSordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu
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.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).
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ScholarGateمقایسهٔ روش‌ها: Robust Multiple linear regression · OLS Regression. بازیابی‌شده در 2026-06-15 از https://scholargate.app/fa/compare