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Bejzijanska višestruka linearna regresija×Bejzijanska jednostavna linearna regresija×
OblastStatistikaStatistika
PorodicaRegression modelRegression model
Godina nastanka1971Early 19th century; textbook synthesis 2013
TvoracArnold Zellner (econometric formulation); broader development by Harold Jeffreys and Gelman et al.Laplace, P.-S. (early 19th c.); modern treatment: Gelman et al.
TipBayesian parametric regressionBayesian linear regression
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 SLR, Bayesian univariate regression, probabilistic simple linear regression, Bayesian linear model
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.Bayesian Simple Linear Regression models the relationship between a continuous outcome and a single predictor by combining a Gaussian likelihood with prior distributions over the intercept, slope, and error variance. The result is a full posterior distribution over all parameters, providing probabilistic uncertainty quantification rather than a single point estimate.
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ScholarGateUporedite metode: Bayesian Multiple linear regression · Bayesian Simple linear regression. Preuzeto 2026-06-15 sa https://scholargate.app/sr/compare