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Hierarchické Bayesovské odvozování×Markov Chain Monte Carlo (MCMC)×
OborBayesovská statistikaBayesovská statistika
RodinaBayesian methodsBayesian methods
Rok vzniku1972 (Lindley & Smith); consolidated 1995–2013
TvůrceLindley & Smith; Gelman et al.
TypBayesian multilevel modelPosterior sampling algorithm
Původní zdrojGelman, 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., 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
Další názvymultilevel Bayesian modeling, Bayesian hierarchical model, nested Bayesian model, partial pooling modelmarkov chain monte carlo, MCMC sampling, MCMC (Markov Zinciri Monte Carlo)
Příbuzné63
ShrnutíHierarchical 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.Markov Chain Monte Carlo (MCMC) is a family of computational algorithms for sampling from complex probability distributions, most commonly the posterior distributions that arise in Bayesian inference. Rather than computing posteriors analytically — which is rarely possible for realistic models — MCMC constructs a Markov chain whose stationary distribution is the target posterior and draws dependent samples from it, enabling full probabilistic inference for virtually any model.
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ScholarGatePorovnat metody: Hierarchical Bayesian Inference · MCMC. Získáno 2026-06-17 z https://scholargate.app/cs/compare