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| Rete Bayesiana Multilivello× | Inferenza Bayesiana Gerarchica× | |
|---|---|---|
| Campo | Bayesiano | Bayesiano |
| Famiglia | Bayesian methods | Bayesian methods |
| Anno di origine≠ | 1990s–2000s | 1972 (Lindley & Smith); consolidated 1995–2013 |
| Ideatore≠ | Extension of Pearl's Bayesian networks; multilevel formulation developed in statistical relational learning community, 1990s–2000s | Lindley & Smith; Gelman et al. |
| Tipo≠ | Probabilistic graphical model (hierarchical) | Bayesian multilevel model |
| Fonte seminale≠ | Koller, D. & Friedman, N. (2009). Probabilistic Graphical Models: Principles and Techniques. MIT Press. ISBN: 978-0262013192 | 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 |
| Alias | multi-level Bayesian network, hierarchical Bayesian network, MLBN, multilevel probabilistic graphical model | multilevel Bayesian modeling, Bayesian hierarchical model, nested Bayesian model, partial pooling model |
| Correlati | 6 | 6 |
| Sintesi≠ | A multilevel Bayesian network extends the standard Bayesian network to data with hierarchical or grouped structure — students within schools, patients within hospitals, observations within subjects — by placing separate but linked graphical models at each level, with higher-level parameters governing the conditional probability tables of lower-level nodes. The result is a principled probabilistic framework that captures both within-group relationships and between-group variation. | 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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