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| Null-inflationsmodell× | Generalisiertes Lineares Modell (GLM)× | |
|---|---|---|
| Fachgebiet | Statistik | Statistik |
| Familie | Regression model | Regression model |
| Entstehungsjahr≠ | 1992 | 1972 |
| Urheber≠ | Diane Lambert | John A. Nelder & Robert W. M. Wedderburn |
| Typ≠ | Count regression with excess zeros | Regression framework |
| Wegweisende Quelle≠ | 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 ↗ |
| Aliasnamen | ZIP model, ZINB model, zero-inflated Poisson, zero-inflated negative binomial | GLM, generalized regression, exponential family regression, link-function model |
| Verwandt | 6 | 6 |
| Zusammenfassung≠ | 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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