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Bayesovský zobecněný aditivní model (Bayesian GAM)×Bayesovský zobecněný lineární model×
OborStatistikaStatistika
RodinaRegression modelRegression model
Rok vzniku1990s–2000s1989 (GLM); 1995 (Bayesian BDA)
TvůrceHastie & Tibshirani (GAM framework, 1990); Bayesian formulation developed through work by Wood, Fahrmeir, Lang, and othersMcCullagh & Nelder (GLM framework); Bayesian treatment formalized by Gelman et al.
TypSemiparametric Bayesian regressionBayesian regression model
Původní zdrojWood, 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
Další názvyBayesian GAM, BGAM, Bayesian semiparametric regression, Bayesian smooth regressionBayesian GLM, Bayesian GLIM, Bayesian generalized linear regression, Bayes GLM
Příbuzné46
ShrnutíBayesian 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.
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ScholarGatePorovnat metody: Bayesian Generalized additive model · Bayesian Generalized Linear Model. Získáno 2026-06-15 z https://scholargate.app/cs/compare