手法を比較

	ベイズ一般化加法モデル（Bayesian GAM）	ベイズ一般化線形モデル
分野	統計学	統計学
系統	Regression model	Regression model
提唱年	1990s–2000s	1989 (GLM); 1995 (Bayesian BDA)
提唱者	Hastie & Tibshirani (GAM framework, 1990); Bayesian formulation developed through work by Wood, Fahrmeir, Lang, and others	McCullagh & Nelder (GLM framework); Bayesian treatment formalized by Gelman et al.
種類	Semiparametric Bayesian regression	Bayesian regression model
原典	Wood, S. N. (2017). Generalized Additive Models: An Introduction with R (2nd ed.). CRC Press. ISBN: 9781498728331	Gelman, A., Carlin, J. B., Stern, H. S., Dunson, D. B., Vehtari, A., & Rubin, D. B. (2013). Bayesian Data Analysis (3rd ed.). CRC Press. ISBN: 978-1439840955
別名	Bayesian GAM, BGAM, Bayesian semiparametric regression, Bayesian smooth regression	Bayesian GLM, Bayesian GLIM, Bayesian generalized linear regression, Bayes GLM
関連	4	6
概要	Bayesian Generalized Additive Models extend the frequentist GAM framework by placing prior distributions over the smooth functions and any additional model parameters. This yields full posterior distributions over each smooth effect, enabling principled uncertainty quantification, automatic smoothness selection via hyperpriors, and seamless integration with hierarchical or mixed-effects structures.	A Bayesian Generalized Linear Model (Bayesian GLM) extends the classical GLM framework by placing prior distributions on the regression coefficients and updating them with data via Bayes' theorem. This yields a full posterior distribution over parameters rather than single point estimates, enabling richer uncertainty quantification and principled incorporation of prior knowledge for any exponential-family outcome.