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| Huberregression× | Vanligaste minsta kvadratmetoden (OLS) Regression× | |
|---|---|---|
| Ämnesområde≠ | Statistik | Ekonometri |
| Familj | Regression model | Regression model |
| Ursprungsår≠ | 1964 | 2019 |
| Upphovsperson≠ | Peter J. Huber | Wooldridge (textbook treatment); classical least squares |
| Typ≠ | Robust linear regression (M-estimation) | Linear regression |
| Ursprungskälla≠ | Huber, 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 |
| Alias | Huber M-estimator, Huber loss regression, robust regression, Huber Regresyonu | ordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu |
| Närliggande | 5 | 5 |
| Sammanfattning≠ | Huber 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. | 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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