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| Hierarchical Bayesian Model Averaging× | Hierarhiline Bayes'lik järeldamine× | |
|---|---|---|
| Valdkond | Bayesi meetodid | Bayesi meetodid |
| Perekond | Bayesian methods | Bayesian methods |
| Tekkeaasta≠ | 1999–2000s | 1972 (Lindley & Smith); consolidated 1995–2013 |
| Looja≠ | Extension formalised by Hoeting, Madigan, Raftery, and Volinsky; hierarchical application developed through 1990s–2000s Bayesian literature | Lindley & Smith; Gelman et al. |
| Tüüp≠ | Bayesian model averaging within hierarchical models | Bayesian multilevel model |
| Algallikas≠ | Hoeting, J. A., Madigan, D., Raftery, A. E., & Volinsky, C. T. (1999). Bayesian model averaging: A tutorial. Statistical Science, 14(4), 382–417. link ↗ | Gelman, A., Carlin, J. B., Stern, H. S., Dunson, D. B., Vehtari, A. & Rubin, D. B. (2013). Bayesian Data Analysis (3rd ed.). CRC Press. ISBN: 978-1439840955 |
| Rööpnimetused | HBMA, hierarchical BMA, multilevel Bayesian model averaging, Bayesian model averaging in hierarchical models | multilevel Bayesian modeling, Bayesian hierarchical model, nested Bayesian model, partial pooling model |
| Seotud≠ | 5 | 6 |
| Kokkuvõte≠ | Hierarchical Bayesian model averaging (HBMA) combines Bayesian model averaging with hierarchical model structure, averaging posterior quantities over a set of candidate models weighted by each model's posterior probability. Rather than selecting a single best model, HBMA propagates model uncertainty through a hierarchical framework, producing predictions and parameter estimates that honestly reflect uncertainty about which model is correct. | Hierarchical Bayesian inference is a probabilistic modeling framework that organises parameters into levels, placing priors on the group-level parameters and hyperpriors on the parameters governing those priors. It enables partial pooling of information across groups, balancing the extremes of treating each group as independent or merging them into a single estimate. |
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