Porovnať metódy
Prezrite si vybrané metódy vedľa seba; riadky, ktoré sa líšia, sú zvýraznené.
| Gibbsov vzorkovač pre porovnávanie modelov× | Bayesovské spriemerovanie modelov× | |
|---|---|---|
| Odbor | Bayesovské metódy | Bayesovské metódy |
| Rodina | Bayesian methods | Bayesian methods |
| Rok vzniku≠ | 1995 | 1999 |
| Tvorca≠ | Carlin and Chib | Hoeting, Madigan, Raftery & Volinsky |
| Typ≠ | Bayesian model selection via MCMC | Bayesian model averaging |
| Pôvodný zdroj≠ | Carlin, B. P. & Chib, S. (1995). Bayesian model choice via Markov chain Monte Carlo methods. Journal of the Royal Statistical Society, Series B, 57(3), 473-484. 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 ↗ |
| Ďalšie názvy≠ | Gibbs-based model selection, MCMC model comparison via Gibbs, Bayesian model comparison with Gibbs sampling, Gibbs sampler model selection | BMA, Bayesian model combination, Bayesian Model Ortalaması (BMA) |
| Príbuzné≠ | 3 | 5 |
| Zhrnutie≠ | Gibbs sampling for model comparison is a Bayesian MCMC approach that simultaneously samples from the space of competing models and their parameters. By augmenting the Gibbs sampler with a discrete model-index variable, posterior model probabilities and Bayes factors are estimated from the resulting Markov chain without requiring separate runs per model. | 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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