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Regresia Binomială Negativă Bayesiană×Model Liniar Generalizat Bayesian×
DomeniuStatisticăStatistică
FamilieRegression modelRegression model
Anul apariției1990s–2000s1989 (GLM); 1995 (Bayesian BDA)
Autorul originalGelman, Carlin, Stern, Dunson, Vehtari & Rubin; Cameron & TrivediMcCullagh & Nelder (GLM framework); Bayesian treatment formalized by Gelman et al.
TipBayesian GLM for overdispersed countsBayesian 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 NB regression, Bayesian negbin model, Bayesian overdispersed count regression, Bayesian NB-2 modelBayesian GLM, Bayesian GLIM, Bayesian generalized linear regression, Bayes GLM
Înrudite66
RezumatBayesian Negative Binomial Regression models non-negative integer count outcomes that exhibit overdispersion — where the variance exceeds the mean — by placing a negative binomial likelihood on the data and specifying prior distributions over the regression coefficients and the dispersion parameter. Posterior inference is typically performed via Markov chain Monte Carlo (MCMC) or variational methods, yielding full posterior distributions rather than point estimates.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 Negative Binomial Regression · Bayesian Generalized Linear Model. Preluat la 2026-06-15 de pe https://scholargate.app/ro/compare