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일반화 선형 모형 (GLM)×일반화 가법 모형 (GAM)×
분야통계학머신러닝
계열Regression modelMachine learning
기원 연도19721986
창시자John A. Nelder & Robert W. M. WedderburnTrevor Hastie & Robert Tibshirani
유형Regression frameworkSemi-parametric additive regression model
원전Nelder, 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 ↗
별칭GLM, generalized regression, exponential family regression, link-function modelGAM, additive model, spline-based additive regression, Genelleştirilmiş toplamsal model
관련64
요약The 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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