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| Байесов порядъчен логистичен регресионен модел× | Байесов обобщен линеен модел× | |
|---|---|---|
| Област | Статистика | Статистика |
| Семейство | Regression model | Regression model |
| Година на възникване≠ | 1999 | 1989 (GLM); 1995 (Bayesian BDA) |
| Създател≠ | Johnson & Albert (1999); Bayesian proportional odds framework | McCullagh & Nelder (GLM framework); Bayesian treatment formalized by Gelman et al. |
| Тип≠ | Bayesian generalized linear model | Bayesian regression model |
| Основополагащ източник≠ | Johnson, V. E., & Albert, J. H. (1999). Ordinal Data Modeling. Springer. ISBN: 978-0387987484 | 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 |
| Други названия | Bayesian proportional odds model, Bayesian cumulative logit model, Bayesian ordered logit, Bayesian cumulative link model | Bayesian GLM, Bayesian GLIM, Bayesian generalized linear regression, Bayes GLM |
| Свързани | 6 | 6 |
| Резюме≠ | Bayesian ordinal logistic regression extends the classical proportional odds model by placing prior distributions on the regression coefficients and threshold parameters and updating them with observed data via Bayes' theorem. The result is a full posterior distribution over all parameters, enabling uncertainty quantification without relying on large-sample approximations. | 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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