方法对比
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| 稳健广义线性模型× | 广义线性模型 (GLM)× | |
|---|---|---|
| 领域 | 统计学 | 统计学 |
| 方法族 | Regression model | Regression model |
| 起源年份≠ | 2001 | 1972 |
| 提出者≠ | Cantoni & Ronchetti | John A. Nelder & Robert W. M. Wedderburn |
| 类型≠ | Robust regression model | Regression framework |
| 开创性文献≠ | Heritier, S., Cantoni, E., Copt, S., & Victoria-Feser, M.-P. (2009). Robust Methods in Biostatistics. Wiley. ISBN: 978-0470027264 | Nelder, J. A., & Wedderburn, R. W. M. (1972). Generalized linear models. Journal of the Royal Statistical Society: Series A (General), 135(3), 370–384. DOI ↗ |
| 别名 | robust GLM, GLM with robust estimation, robust quasi-likelihood model, M-estimator GLM | GLM, generalized regression, exponential family regression, link-function model |
| 相关≠ | 5 | 6 |
| 摘要≠ | 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. | The Generalized Linear Model is a unified regression framework that extends ordinary linear regression to outcomes from the exponential family — including binary, count, proportion, and continuous positive outcomes. A link function connects the linear predictor to the mean of the response, enabling principled modelling beyond the Gaussian case. |
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