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| Metropolis-Hastings za poređenje modela× | Bayesian Model Averaging× | |
|---|---|---|
| Oblast | Bajesovska statistika | Bajesovska statistika |
| Porodica | Bayesian methods | Bayesian methods |
| Godina nastanka≠ | 1970 (extended 1995) | 1999 |
| Tvorac≠ | W. K. Hastings (1970); extended for model comparison by P. J. Green (1995) | Hoeting, Madigan, Raftery & Volinsky |
| Tip≠ | MCMC-based model comparison | Bayesian model averaging |
| Temeljni izvor≠ | Hastings, W. K. (1970). Monte Carlo sampling methods using Markov chains and their applications. Biometrika, 57(1), 97-109. 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 ↗ |
| Drugi nazivi≠ | MH model comparison, Metropolis-Hastings Bayes factor estimation, reversible-jump Metropolis-Hastings, MH model selection | BMA, Bayesian model combination, Bayesian Model Ortalaması (BMA) |
| Srodne≠ | 4 | 5 |
| Sažetak≠ | Metropolis-Hastings for model comparison uses the Metropolis-Hastings MCMC algorithm to explore both parameter and model space simultaneously, producing posterior probabilities for competing models and enabling Bayes factor estimation without requiring closed-form marginal likelihoods. The canonical extension — reversible-jump MCMC by Green (1995) — handles models of different dimensionalities within a single sampler. | 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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