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Bayesilainen yleistetty lineaarinen malli×Yleistetty lineaarinen malli (GLM)×
TieteenalaTilastotiedeTilastotiede
MenetelmäperheRegression modelRegression model
Syntyvuosi1989 (GLM); 1995 (Bayesian BDA)1972
KehittäjäMcCullagh & Nelder (GLM framework); Bayesian treatment formalized by Gelman et al.John A. Nelder & Robert W. M. Wedderburn
TyyppiBayesian regression modelRegression framework
AlkuperäislähdeGelman, A., Carlin, J. B., Stern, H. S., Dunson, D. B., Vehtari, A., & Rubin, D. B. (2013). Bayesian Data Analysis (3rd ed.). CRC Press. ISBN: 978-1439840955Nelder, J. A., & Wedderburn, R. W. M. (1972). Generalized linear models. Journal of the Royal Statistical Society: Series A (General), 135(3), 370–384. DOI ↗
RinnakkaisnimetBayesian GLM, Bayesian GLIM, Bayesian generalized linear regression, Bayes GLMGLM, generalized regression, exponential family regression, link-function model
Liittyvät66
TiivistelmäA 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.The Generalized Linear Model is a unified regression framework that extends ordinary linear regression to outcomes from the exponential family — including binary, count, proportion, and continuous positive outcomes. A link function connects the linear predictor to the mean of the response, enabling principled modelling beyond the Gaussian case.
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  1. v1
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  3. PUBLISHED

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ScholarGateVertaile menetelmiä: Bayesian Generalized Linear Model · Generalized Linear Model. Haettu 2026-06-15 osoitteesta https://scholargate.app/fi/compare