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| Generaliseret Lineær Model (GLM)× | Generaliseret Additiv Model (GAM)× | |
|---|---|---|
| Fagområde≠ | Statistik | Maskinlæring |
| Familie≠ | Regression model | Machine learning |
| Oprindelsesår≠ | 1972 | 1986 |
| Ophavsperson≠ | John A. Nelder & Robert W. M. Wedderburn | Trevor Hastie & Robert Tibshirani |
| Type≠ | Regression framework | Semi-parametric additive regression model |
| Oprindelig kilde≠ | 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 ↗ | Hastie, T., & Tibshirani, R. (1986). Generalized additive models. Statistical Science, 1(3), 297–310. DOI ↗ |
| Aliasser | GLM, generalized regression, exponential family regression, link-function model | GAM, additive model, spline-based additive regression, Genelleştirilmiş toplamsal model |
| Relaterede≠ | 6 | 4 |
| Resumé≠ | 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. | A generalized additive model, introduced by Trevor Hastie and Robert Tibshirani in 1986, extends the generalized linear model by replacing each linear term with a smooth, data-driven function of the predictor. This lets the model capture nonlinear relationships while preserving the additive, term-by-term interpretability of regression: each predictor contributes its own estimated curve, and the curves simply add up (on a link scale) to predict the response. |
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