Methoden vergleichen

	Bayesian Generalisiert Additives Modell (Bayesian GAM)	Bayesian Generalisiertes Lineares Modell
Fachgebiet	Statistik	Statistik
Familie	Regression model	Regression model
Entstehungsjahr	1990s–2000s	1989 (GLM); 1995 (Bayesian BDA)
Urheber	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.
Typ	Semiparametric Bayesian regression	Bayesian regression model
Wegweisende Quelle	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
Aliasnamen	Bayesian GAM, BGAM, Bayesian semiparametric regression, Bayesian smooth regression	Bayesian GLM, Bayesian GLIM, Bayesian generalized linear regression, Bayes GLM
Verwandt	4	6
Zusammenfassung	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.