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Regresia Poisson Bayesiană×Model Liniar Generalizat Bayesian×
DomeniuStatisticăStatistică
FamilieRegression modelRegression model
Anul apariției1989 (GLM foundation); Bayesian treatment formalized in 1990s–2000s1989 (GLM); 1995 (Bayesian BDA)
Autorul originalGelman et al. (BDA); classical Poisson GLM from McCullagh & Nelder (1989)McCullagh & Nelder (GLM framework); Bayesian treatment formalized by Gelman et al.
TipBayesian generalized linear model for count dataBayesian regression model
Sursa seminalăGelman, 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
Denumiri alternativeBayesian log-linear count model, Bayesian GLM Poisson, Poisson regression with priors, Bayesian count regressionBayesian GLM, Bayesian GLIM, Bayesian generalized linear regression, Bayes GLM
Înrudite66
RezumatBayesian Poisson regression models non-negative integer count outcomes using a Poisson likelihood with a log link, placing prior distributions on the regression coefficients. Posterior inference — combining prior beliefs with the data likelihood — produces full probability distributions over the coefficients rather than single-point estimates, enabling coherent uncertainty quantification and incorporation of domain knowledge.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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  1. v1
  2. 2 Surse
  3. PUBLISHED

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ScholarGateCompară metode: Bayesian Poisson Regression · Bayesian Generalized Linear Model. Preluat la 2026-06-15 de pe https://scholargate.app/ro/compare