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| Robust Bayesian Inference× | Байесовско осредняване на модели (Bayesian Model Averaging, BMA)× | |
|---|---|---|
| Област | Бейсови методи | Бейсови методи |
| Семейство | Bayesian methods | Bayesian methods |
| Година на възникване≠ | 1984–1990 | 1999 |
| Създател≠ | James O. Berger | Hoeting, Madigan, Raftery & Volinsky |
| Тип≠ | Bayesian sensitivity / robustness framework | Bayesian model averaging |
| Основополагащ източник≠ | Berger, J. O. (1990). Robust Bayesian analysis: sensitivity to the prior. Journal of Statistical Planning and Inference, 25(3), 303–328. DOI ↗ | Hoeting, J. A., Madigan, D., Raftery, A. E. & Volinsky, C. T. (1999). Bayesian Model Averaging: A Tutorial. Statistical Science, 14(4), 382–401. link ↗ |
| Други названия≠ | Bayesian sensitivity analysis, prior robustness, epsilon-contamination Bayesian analysis, robust Bayes | BMA, Bayesian model combination, Bayesian Model Ortalaması (BMA) |
| Свързани≠ | 6 | 5 |
| Резюме≠ | Robust Bayesian inference extends standard Bayesian analysis by replacing a single prior distribution with a class of plausible priors and examining how much the posterior conclusions change across that class. Instead of committing to one prior, the analyst bounds the posterior quantity of interest, revealing whether findings are stable or critically dependent on prior assumptions. | Bayesian Model Averaging (BMA), formalised as a tutorial by Hoeting, Madigan, Raftery and Volinsky in 1999, addresses model uncertainty by averaging over all plausible model specifications rather than selecting a single best model. Each candidate model receives a posterior probability that reflects how well it fits the data given a prior, and predictions or coefficient estimates are formed as weighted averages across the entire model space. This approach reduces the bias and overconfidence that arise when a single selected model is treated as the true one. |
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