Porovnat metody
Prohlédněte si vybrané metody vedle sebe; řádky, které se liší, jsou zvýrazněny.
| Robustní bayesovské průměrování modelů× | Bayesovské průměrování modelů× | |
|---|---|---|
| Obor | Bayesovská statistika | Bayesovská statistika |
| Rodina | Bayesian methods | Bayesian methods |
| Rok vzniku≠ | 1999–2012 | 1999 |
| Tvůrce≠ | Hoeting, Madigan, Raftery, Volinsky (BMA); robustness extensions by Ley & Steel and others | Hoeting, Madigan, Raftery & Volinsky |
| Typ≠ | Bayesian model selection and averaging | Bayesian model averaging |
| Původní zdroj≠ | Hoeting, J. A., Madigan, D., Raftery, A. E., & Volinsky, C. T. (1999). Bayesian model averaging: A tutorial. Statistical Science, 14(4), 382–401. link ↗ | Hoeting, J. A., Madigan, D., Raftery, A. E. & Volinsky, C. T. (1999). Bayesian Model Averaging: A Tutorial. Statistical Science, 14(4), 382–401. link ↗ |
| Další názvy≠ | robust BMA, outlier-robust BMA, robust model averaging, heavy-tailed BMA | BMA, Bayesian model combination, Bayesian Model Ortalaması (BMA) |
| Příbuzné≠ | 6 | 5 |
| Shrnutí≠ | Robust Bayesian model averaging extends standard BMA by replacing sensitive conjugate priors with heavy-tailed or mixture priors (e.g., mixtures of g-priors), and optionally robust likelihoods, so that posterior model probabilities and averaged estimates remain stable when data contain outliers, influential observations, or when the prior on model parameters would otherwise dominate the results. | 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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