方法对比
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| 稳健贝叶斯推断× | 贝叶斯模型平均 (Bayesian Model Averaging, BMA)× | |
|---|---|---|
| 领域 | 贝叶斯 | 贝叶斯 |
| 方法族 | Bayesian methods | Bayesian methods |
| 起源年份≠ | 1984–1990 | 1999 |
| 提出者≠ | James O. Berger | Hoeting, Madigan, Raftery & Volinsky |
| 类型≠ | Bayesian sensitivity / robustness framework | Bayesian model averaging |
| 开创性文献≠ | 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 ↗ |
| 别名≠ | Bayesian sensitivity analysis, prior robustness, epsilon-contamination Bayesian analysis, robust Bayes | BMA, Bayesian model combination, Bayesian Model Ortalaması (BMA) |
| 相关≠ | 6 | 5 |
| 摘要≠ | 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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