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베이지안 음이항 회귀×베이즈 일반화 선형 모형×
분야통계학통계학
계열Regression modelRegression model
기원 연도1990s–2000s1989 (GLM); 1995 (Bayesian BDA)
창시자Gelman, Carlin, Stern, Dunson, Vehtari & Rubin; Cameron & TrivediMcCullagh & Nelder (GLM framework); Bayesian treatment formalized by Gelman et al.
유형Bayesian GLM for overdispersed countsBayesian regression model
원전Gelman, 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
별칭Bayesian NB regression, Bayesian negbin model, Bayesian overdispersed count regression, Bayesian NB-2 modelBayesian GLM, Bayesian GLIM, Bayesian generalized linear regression, Bayes GLM
관련66
요약Bayesian 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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