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Wielopoziomowe bayesowskie uśrednianie modeli×Hierarchiczna inferencja bayesowska×
DziedzinaStatystyka bayesowskaStatystyka bayesowska
RodzinaBayesian methodsBayesian methods
Rok powstania1999–2000s1972 (Lindley & Smith); consolidated 1995–2013
TwórcaHoeting, Madigan, Raftery, Volinsky (BMA foundation); multilevel extension developed across the late 1990s–2000sLindley & Smith; Gelman et al.
TypBayesian ensemble / model selectionBayesian multilevel model
Źródło pierwotneHoeting, J. A., Madigan, D., Raftery, A. E. & Volinsky, C. T. (1999). Bayesian model averaging: A tutorial. Statistical Science, 14(4), 382-401. 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
Inne nazwyML-BMA, hierarchical Bayesian model averaging, multilevel BMA, Bayesian model averaging in multilevel modelsmultilevel Bayesian modeling, Bayesian hierarchical model, nested Bayesian model, partial pooling model
Pokrewne66
PodsumowanieMultilevel Bayesian model averaging (ML-BMA) extends classical Bayesian model averaging to grouped or hierarchically structured data. Rather than committing to a single multilevel model specification, it computes a weighted average of predictions and parameter estimates across a set of candidate multilevel models, weighting each model by its posterior probability given the data. The result accounts simultaneously for uncertainty in the grouping structure, fixed effects, random effects, and covariate selection.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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ScholarGatePorównaj metody: Multilevel Bayesian Model Averaging · Hierarchical Bayesian Inference. Pobrano 2026-06-17 z https://scholargate.app/pl/compare