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Regresi Poisson Bayesian×Regresi Binomial Negatif Bayesian×
BidangStatistikStatistik
KeluargaRegression modelRegression model
Tahun asal1989 (GLM foundation); Bayesian treatment formalized in 1990s–2000s1990s–2000s
PengasasGelman et al. (BDA); classical Poisson GLM from McCullagh & Nelder (1989)Gelman, Carlin, Stern, Dunson, Vehtari & Rubin; Cameron & Trivedi
JenisBayesian generalized linear model for count dataBayesian 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 log-linear count model, Bayesian GLM Poisson, Poisson regression with priors, Bayesian count regressionBayesian NB regression, Bayesian negbin model, Bayesian overdispersed count regression, Bayesian NB-2 model
Berkaitan66
RingkasanBayesian 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.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 Poisson Regression · Bayesian Negative Binomial Regression. Dicapai 2026-06-15 daripada https://scholargate.app/ms/compare