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베이즈 일반화 선형 모형×베이지안 음이항 회귀×
분야통계학통계학
계열Regression modelRegression model
기원 연도1989 (GLM); 1995 (Bayesian BDA)1990s–2000s
창시자McCullagh & Nelder (GLM framework); Bayesian treatment formalized by Gelman et al.Gelman, Carlin, Stern, Dunson, Vehtari & Rubin; Cameron & Trivedi
유형Bayesian regression modelBayesian GLM for overdispersed counts
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 GLM, Bayesian GLIM, Bayesian generalized linear regression, Bayes GLMBayesian NB regression, Bayesian negbin model, Bayesian overdispersed count regression, Bayesian NB-2 model
관련66
요약A 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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