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ह्यूबर रिग्रेशन×एम-अनुमानक (दृढ़ प्रतिगमन)×साधारण न्यूनतम वर्ग (OLS) समाश्रयण×
क्षेत्रसांख्यिकीसांख्यिकीअर्थमिति
परिवारRegression modelRegression modelRegression model
उद्भव वर्ष196420092019
प्रवर्तकPeter J. HuberPeter J. HuberWooldridge (textbook treatment); classical least squares
प्रकारRobust linear regression (M-estimation)Robust linear regressionLinear regression
मौलिक स्रोतHuber, P. J. (1964). Robust Estimation of a Location Parameter. Annals of Mathematical Statistics, 35(1), 73-101. DOI ↗Huber, P. J., & Ronchetti, E. M. (2009). Robust Statistics (2nd ed.). Wiley. link ↗Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860
उपनामHuber M-estimator, Huber loss regression, robust regression, Huber Regresyonum-estimation, huber regression, robust m-regression, M-Tahmin Edicilerordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu
संबंधित555
सारांशHuber regression is a robust linear regression method, introduced by Peter J. Huber in 1964, that resists the influence of outliers by treating small and large residuals differently. It applies a squared (OLS-like) loss to small residuals and a milder absolute-value loss to large ones, so extreme observations cannot dominate the fit.M-estimators are a robust generalisation of maximum likelihood estimation, formalised in the work of Peter J. Huber (Huber & Ronchetti, 2009). Instead of squaring every residual, they apply a bounded loss function so that large residuals from outliers are down-weighted rather than allowed to dominate the fit.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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