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| Hồi quy nhị thức âm mạnh mẽ× | Hồi quy mạnh mẽ× | |
|---|---|---|
| Lĩnh vực | Thống kê | Thống kê |
| Họ | Regression model | Regression model |
| Năm ra đời≠ | 2000s–2011 | 1964 |
| Người khởi xướng≠ | Hilbe, J. M.; Zeileis, A. et al. | Peter J. Huber (M-estimation, 1964); Frank Hampel (influence function, 1974) |
| Loại≠ | Count regression with robust inference | Regression with outlier resistance |
| Công trình gốc≠ | Hilbe, J. M. (2011). Negative Binomial Regression (2nd ed.). Cambridge University Press. ISBN: 978-0521198158 | Huber, P. J. (1964). Robust estimation of a location parameter. The Annals of Mathematical Statistics, 35(1), 73–101. DOI ↗ |
| Tên gọi khác | robust NB regression, negative binomial regression with robust standard errors, sandwich-corrected negative binomial regression, NB2 robust regression | M-estimation regression, robust linear regression, outlier-resistant regression, MM-estimation |
| Liên quan | 6 | 6 |
| Tóm tắt≠ | Robust Negative Binomial Regression models overdispersed count outcomes using the negative binomial distribution while protecting coefficient inference against misspecification of the variance function. It pairs maximum-likelihood estimation of the mean and dispersion parameters with sandwich (Huber-White) standard errors, yielding valid tests even when the assumed variance structure is only approximately correct. | 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. |
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