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Bayesian Multiple Linear Regression×Bayesov generalizirani linearni model×
PodručjeStatistikaStatistika
ObiteljRegression modelRegression model
Godina nastanka19711989 (GLM); 1995 (Bayesian BDA)
TvoracArnold Zellner (econometric formulation); broader development by Harold Jeffreys and Gelman et al.McCullagh & Nelder (GLM framework); Bayesian treatment formalized by Gelman et al.
VrstaBayesian parametric regressionBayesian regression model
Temeljni izvorGelman, A., Carlin, J. B., Stern, H. S., Dunson, D. B., Vehtari, A., & Rubin, D. B. (2013). Bayesian Data Analysis (3rd ed.). CRC Press. ISBN: 978-1439840955Gelman, 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
Drugi naziviBayesian MLR, Bayesian linear regression, Bayesian multivariate regression, conjugate normal-inverse-gamma regressionBayesian GLM, Bayesian GLIM, Bayesian generalized linear regression, Bayes GLM
Srodne66
SažetakBayesian 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.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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ScholarGateUsporedite metode: Bayesian Multiple linear regression · Bayesian Generalized Linear Model. Preuzeto 2026-06-15 s https://scholargate.app/hr/compare