مقایسهٔ روشها
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| مدل خطی تعمیمیافته استوار× | رگرسیون مقاوم× | |
|---|---|---|
| حوزه | آمار | آمار |
| خانواده | Regression model | Regression model |
| سال پیدایش≠ | 2001 | 1964 |
| پدیدآور≠ | Cantoni & Ronchetti | Peter J. Huber (M-estimation, 1964); Frank Hampel (influence function, 1974) |
| نوع≠ | Robust regression model | Regression with outlier resistance |
| منبع بنیادین≠ | Heritier, S., Cantoni, E., Copt, S., & Victoria-Feser, M.-P. (2009). Robust Methods in Biostatistics. Wiley. ISBN: 978-0470027264 | Huber, P. J. (1964). Robust estimation of a location parameter. The Annals of Mathematical Statistics, 35(1), 73–101. DOI ↗ |
| نامهای دیگر | robust GLM, GLM with robust estimation, robust quasi-likelihood model, M-estimator GLM | M-estimation regression, robust linear regression, outlier-resistant regression, MM-estimation |
| مرتبط≠ | 5 | 6 |
| خلاصه≠ | A Robust Generalized Linear Model fits the standard GLM family — linear, logistic, Poisson, and others — using M-type estimating equations that down-weight outlying or influential observations. The result is coefficient estimates and standard errors that remain stable even when a minority of data points deviate sharply from the assumed distribution. | Robust regression estimates the linear relationship between a continuous outcome and predictors while sharply reducing the influence of outliers and leverage points. Unlike OLS, which is highly sensitive to extreme observations, robust methods assign down-weighted influence to atypical data points, producing coefficient estimates that remain stable even when a fraction of the data is contaminated or non-normally distributed. |
| ScholarGateمجموعهداده ↗ |
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