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| Bayesian Generalized Linear Model× | Bayesian Negative Binomial Regression× | |
|---|---|---|
| Lĩnh vực | Thống kê | Thống kê |
| Họ | Regression model | Regression model |
| Năm ra đời≠ | 1989 (GLM); 1995 (Bayesian BDA) | 1990s–2000s |
| Người khởi xướng≠ | McCullagh & Nelder (GLM framework); Bayesian treatment formalized by Gelman et al. | Gelman, Carlin, Stern, Dunson, Vehtari & Rubin; Cameron & Trivedi |
| Loại≠ | Bayesian regression model | Bayesian GLM for overdispersed counts |
| Công trình gốc | Gelman, 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 | Gelman, 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 |
| Tên gọi khác | Bayesian GLM, Bayesian GLIM, Bayesian generalized linear regression, Bayes GLM | Bayesian NB regression, Bayesian negbin model, Bayesian overdispersed count regression, Bayesian NB-2 model |
| Liên quan | 6 | 6 |
| Tóm tắt≠ | 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. | 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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