مقایسهٔ روش‌ها

	مدل افزایشی تعمیم‌یافته بیزی (Bayesian GAM)	رگرسیون خطی چندگانه بیزی (Bayesian Multiple Linear Regression)
حوزه	آمار	آمار
خانواده	Regression model	Regression model
سال پیدایش	1990s–2000s	1971
پدیدآور	Hastie & Tibshirani (GAM framework, 1990); Bayesian formulation developed through work by Wood, Fahrmeir, Lang, and others	Arnold Zellner (econometric formulation); broader development by Harold Jeffreys and Gelman et al.
نوع	Semiparametric Bayesian regression	Bayesian parametric regression
منبع بنیادین	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
نام‌های دیگر	Bayesian GAM, BGAM, Bayesian semiparametric regression, Bayesian smooth regression	Bayesian MLR, Bayesian linear regression, Bayesian multivariate regression, conjugate normal-inverse-gamma regression
مرتبط	4	6
خلاصه	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.	Bayesian Multiple Linear Regression models a continuous outcome as a linear combination of several predictors, but instead of producing a single point estimate it yields a full posterior distribution over all regression coefficients and the error variance. This makes uncertainty quantification explicit and allows seamlessly incorporating prior knowledge from theory or previous studies.