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| 零膨胀模型× | 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≠ | 1992 | 1972 |
| 提出者≠ | Diane Lambert | John A. Nelder & Robert W. M. Wedderburn |
| 类型≠ | Count regression with excess zeros | Regression framework |
| 开创性文献≠ | Lambert, D. (1992). Zero-inflated Poisson regression, with an application to defects in manufacturing. Technometrics, 34(1), 1–14. DOI ↗ | 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 | ZIP model, ZINB model, zero-inflated Poisson, zero-inflated negative binomial | GLM, generalized regression, exponential family regression, link-function model |
| 相关 | 6 | 6 |
| 摘要≠ | A zero-inflated model is a two-component mixture regression designed for count outcomes that contain more zero values than a standard Poisson or negative binomial distribution can accommodate. One component is a binary process that generates structural zeros; the other is a count process that generates both zeros and positive counts. | 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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