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Bayesian Generalized Additive Model (Bayesian GAM)×Neiša jauktā modeļa modelis×
NozareStatistikaStatistika
SaimeRegression modelRegression model
Izcelsmes gads1990s–2000s1990s–2000s (modern Bayesian MCMC era)
AutorsHastie & Tibshirani (GAM framework, 1990); Bayesian formulation developed through work by Wood, Fahrmeir, Lang, and othersGelman, Hill, and the broader Bayesian hierarchical modeling tradition
TipsSemiparametric Bayesian regressionBayesian regression model
PirmavotsWood, S. N. (2017). Generalized Additive Models: An Introduction with R (2nd ed.). CRC Press. ISBN: 9781498728331Gelman, A., & Hill, J. (2007). Data Analysis Using Regression and Multilevel/Hierarchical Models. Cambridge University Press. ISBN: 978-0521686891
Citi nosaukumiBayesian GAM, BGAM, Bayesian semiparametric regression, Bayesian smooth regressionBayesian multilevel model, Bayesian random effects model, Bayesian LME, Bayesian hierarchical mixed model
Saistītās45
KopsavilkumsBayesian 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.The Bayesian mixed effects model extends the classical mixed effects framework by placing prior distributions on all parameters — fixed effects, random effect variances, and residual variance — and updating them with data to produce full posterior distributions. This provides coherent uncertainty quantification for both population-level and group-level effects simultaneously.
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ScholarGateSalīdzināt metodes: Bayesian Generalized additive model · Bayesian Mixed Effects Model. Izgūts 2026-06-17 no https://scholargate.app/lv/compare