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| Višerazinska Bayesova mreža× | Bayesov hijerarhijski model s podacima koji nedostaju× | |
|---|---|---|
| Područje | Bayesovska statistika | Bayesovska statistika |
| Obitelj | Bayesian methods | Bayesian methods |
| Godina nastanka | 1990s–2000s | 1990s–2000s |
| Tvorac≠ | Extension of Pearl's Bayesian networks; multilevel formulation developed in statistical relational learning community, 1990s–2000s | Gelman, Rubin, Little (and collaborators) |
| Vrsta≠ | Probabilistic graphical model (hierarchical) | Bayesian hierarchical model with missing-data integration |
| Temeljni izvor≠ | 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 |
| Drugi nazivi | multi-level Bayesian network, hierarchical Bayesian network, MLBN, multilevel probabilistic graphical model | BHM missing data, multilevel Bayesian missing data model, hierarchical Bayesian imputation, Bayesian multilevel model with incomplete data |
| Srodne≠ | 6 | 5 |
| Sažetak≠ | 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. | A Bayesian hierarchical model with missing data treats unobserved values as additional unknowns and samples them jointly with all model parameters from the posterior. The nested structure of the hierarchy borrows strength across groups, while the Bayesian framework naturally propagates uncertainty from missingness through every estimate and prediction. |
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