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Model Aditif Umum Bayesian (Bayesian GAM)×Regresi Linear Berganda Bayesian×
BidangStatistikStatistik
KeluargaRegression modelRegression model
Tahun asal1990s–2000s1971
PengasasHastie & Tibshirani (GAM framework, 1990); Bayesian formulation developed through work by Wood, Fahrmeir, Lang, and othersArnold Zellner (econometric formulation); broader development by Harold Jeffreys and Gelman et al.
JenisSemiparametric Bayesian regressionBayesian parametric regression
Sumber perintisWood, S. N. (2017). Generalized Additive Models: An Introduction with R (2nd ed.). CRC Press. ISBN: 9781498728331Gelman, 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
AliasBayesian GAM, BGAM, Bayesian semiparametric regression, Bayesian smooth regressionBayesian MLR, Bayesian linear regression, Bayesian multivariate regression, conjugate normal-inverse-gamma regression
Berkaitan46
RingkasanBayesian 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.
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ScholarGateBandingkan kaedah: Bayesian Generalized additive model · Bayesian Multiple linear regression. Dicapai 2026-06-15 daripada https://scholargate.app/ms/compare