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Multilevel Metropolis-Hastings×Multiniveau Bayesiansk Inferens×
FagområdeBayesianskBayesiansk
FamilieBayesian methodsBayesian methods
Oprindelsesår1953 (core); 1990s (multilevel application)1980s–2000s
OphavspersonMetropolis et al. (1953); hierarchical extension developed through 1980s–1990s Bayesian computation literatureGelman, Hill, Raudenbush, Bryk
TypeMCMC sampling algorithmBayesian hierarchical model
Oprindelig kildeGelman, A., Carlin, J. B., Stern, H. S., Dunson, D. B., Vehtari, A. & Rubin, D. B. (2013). Bayesian Data Analysis (3rd ed.). CRC Press. ISBN: 978-1439840955Gelman, A., & Hill, J. (2007). Data Analysis Using Regression and Multilevel/Hierarchical Models. Cambridge University Press. ISBN: 978-0521686891
Aliasserhierarchical Metropolis-Hastings, multilevel MH, MH for hierarchical models, blocked Metropolis-HastingsBayesian multilevel model, Bayesian hierarchical model, Bayesian mixed-effects model, Bayesian random-effects model
Relaterede66
ResuméMultilevel Metropolis-Hastings applies the Metropolis-Hastings MCMC algorithm to hierarchical (multilevel) Bayesian models, sampling jointly from group-level parameters and hyperparameters by proposing candidate values and accepting or rejecting them via a ratio that respects the full joint posterior across all levels of the model.Multilevel 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.
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ScholarGateSammenlign metoder: Multilevel Metropolis-Hastings · Multilevel Bayesian Inference. Hentet 2026-06-18 fra https://scholargate.app/da/compare