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| Hierarkisk Bayesiansk inferens× | Markov Chain Monte Carlo (MCMC)× | |
|---|---|---|
| Ämnesområde | Bayesiansk statistik | Bayesiansk statistik |
| Familj | Bayesian methods | Bayesian methods |
| Ursprungsår≠ | 1972 (Lindley & Smith); consolidated 1995–2013 | — |
| Upphovsperson≠ | Lindley & Smith; Gelman et al. | — |
| Typ≠ | Bayesian multilevel model | Posterior sampling algorithm |
| Ursprungskälla | 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 | 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 |
| Alias≠ | multilevel Bayesian modeling, Bayesian hierarchical model, nested Bayesian model, partial pooling model | markov chain monte carlo, MCMC sampling, MCMC (Markov Zinciri Monte Carlo) |
| Närliggande≠ | 6 | 3 |
| Sammanfattning≠ | 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. | 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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