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Bayesian methodsBayesian / computational

Multilevel Gibbs Sampling

Multilevel Gibbs sampling anvender Gibbs MCMC-algoritmen på hierarkiske (multilevel) Bayesianske modeller, hvor man skiftevis gennemløber de betingede fordelinger for gruppeniveauparametre og populationsniveauhyperparametre. Dette udnytter den betingede uafhængighedsstruktur i hierarkiet til at trække eksakte eller næsten eksakte stikprøver fra en posterior, som ellers ville være analytisk uløselig.

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Kilder

  1. Gelman, A. & Hill, J. (2007). Data Analysis Using Regression and Multilevel/Hierarchical Models. Cambridge University Press. ISBN: 978-0521686891
  2. 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

Sådan citerer du denne side

ScholarGate. (2026, June 3). Multilevel Gibbs Sampling for Hierarchical Bayesian Models. ScholarGate. https://scholargate.app/da/bayesian/multilevel-gibbs-sampling

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ScholarGateMultilevel Gibbs Sampling (Multilevel Gibbs Sampling for Hierarchical Bayesian Models). Hentet 2026-06-15 fra https://scholargate.app/da/bayesian/multilevel-gibbs-sampling · Datasæt: https://doi.org/10.5281/zenodo.20539026