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Mehrstufige Bayes'sche Inferenz×Hierarchische Bayes'sche Inferenz×
FachgebietBayes-StatistikBayes-Statistik
FamilieBayesian methodsBayesian methods
Entstehungsjahr1980s–2000s1972 (Lindley & Smith); consolidated 1995–2013
UrheberGelman, Hill, Raudenbush, BrykLindley & Smith; Gelman et al.
TypBayesian hierarchical modelBayesian multilevel model
Wegweisende QuelleGelman, A., & Hill, J. (2007). Data Analysis Using Regression and Multilevel/Hierarchical Models. Cambridge University Press. ISBN: 978-0521686891Gelman, 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
AliasnamenBayesian multilevel model, Bayesian hierarchical model, Bayesian mixed-effects model, Bayesian random-effects modelmultilevel Bayesian modeling, Bayesian hierarchical model, nested Bayesian model, partial pooling model
Verwandt66
ZusammenfassungMultilevel Bayesian inference combines Bayesian probability with hierarchical data structures, treating group-level parameters as drawn from a common population distribution. It simultaneously estimates unit-level effects and the hyperparameters governing their variation, propagating full uncertainty through every level of the hierarchy via posterior sampling.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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ScholarGateMethoden vergleichen: Multilevel Bayesian Inference · Hierarchical Bayesian Inference. Abgerufen am 2026-06-17 von https://scholargate.app/de/compare