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Model Linear Umum Bayesian×Regresi Binomial Negatif Bayesian×
BidangStatistikStatistik
KeluargaRegression modelRegression model
Tahun asal1989 (GLM); 1995 (Bayesian BDA)1990s–2000s
PengasasMcCullagh & Nelder (GLM framework); Bayesian treatment formalized by Gelman et al.Gelman, Carlin, Stern, Dunson, Vehtari & Rubin; Cameron & Trivedi
JenisBayesian regression modelBayesian GLM for overdispersed counts
Sumber perintisGelman, 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
AliasBayesian GLM, Bayesian GLIM, Bayesian generalized linear regression, Bayes GLMBayesian NB regression, Bayesian negbin model, Bayesian overdispersed count regression, Bayesian NB-2 model
Berkaitan66
RingkasanA 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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ScholarGateBandingkan kaedah: Bayesian Generalized Linear Model · Bayesian Negative Binomial Regression. Dicapai 2026-06-15 daripada https://scholargate.app/ms/compare