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Bejzijevski generalizovani linearni model×Bejzijanska regresija negativnog binomnog rasporeda×
OblastStatistikaStatistika
PorodicaRegression modelRegression model
Godina nastanka1989 (GLM); 1995 (Bayesian BDA)1990s–2000s
TvoracMcCullagh & Nelder (GLM framework); Bayesian treatment formalized by Gelman et al.Gelman, Carlin, Stern, Dunson, Vehtari & Rubin; Cameron & Trivedi
TipBayesian regression modelBayesian GLM for overdispersed counts
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 GLM, Bayesian GLIM, Bayesian generalized linear regression, Bayes GLMBayesian NB regression, Bayesian negbin model, Bayesian overdispersed count regression, Bayesian NB-2 model
Srodne66
SažetakA 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.Bayesian 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.
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ScholarGateUporedite metode: Bayesian Generalized Linear Model · Bayesian Negative Binomial Regression. Preuzeto 2026-06-15 sa https://scholargate.app/sr/compare