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一般化線形モデル(GLM)×一般化加法モデル(GAM)×
分野統計学機械学習
系統Regression modelMachine learning
提唱年19721986
提唱者John A. Nelder & Robert W. M. WedderburnTrevor Hastie & Robert Tibshirani
種類Regression frameworkSemi-parametric additive regression model
原典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 ↗
別名GLM, generalized regression, exponential family regression, link-function modelGAM, additive model, spline-based additive regression, Genelleştirilmiş toplamsal model
関連64
概要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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ScholarGate手法を比較: Generalized Linear Model · Generalized Additive Model. 2026-06-15に以下より取得 https://scholargate.app/ja/compare