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Bayesilik Generaliseeritud Athemiline Mudel (Bayesian GAM)×Bayes'i üldistatud lineaarmudel×
ValdkondStatistikaStatistika
PerekondRegression modelRegression model
Tekkeaasta1990s–2000s1989 (GLM); 1995 (Bayesian BDA)
LoojaHastie & 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.
TüüpSemiparametric Bayesian regressionBayesian regression model
AlgallikasWood, 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
RööpnimetusedBayesian GAM, BGAM, Bayesian semiparametric regression, Bayesian smooth regressionBayesian GLM, Bayesian GLIM, Bayesian generalized linear regression, Bayes GLM
Seotud46
KokkuvõteBayesian 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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ScholarGateVõrdle meetodeid: Bayesian Generalized additive model · Bayesian Generalized Linear Model. Loetud 2026-06-15 aadressilt https://scholargate.app/et/compare