方法对比
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| 分层近似贝叶斯计算× | 分层贝叶斯推断× | |
|---|---|---|
| 领域 | 贝叶斯 | 贝叶斯 |
| 方法族 | Bayesian methods | Bayesian methods |
| 起源年份≠ | 2009–2010 | 1972 (Lindley & Smith); consolidated 1995–2013 |
| 提出者≠ | Toni, Welch, Strelkowa, Ipsen & Stumpf (building on Pritchard et al. 1999 and Beaumont et al. 2002) | Lindley & Smith; Gelman et al. |
| 类型≠ | simulation-based Bayesian inference | Bayesian multilevel model |
| 开创性文献≠ | Toni, T. & Stumpf, M. P. H. (2010). Simulation-based model selection for dynamical systems in systems and population biology. Bioinformatics, 26(1), 104–110. DOI ↗ | 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 |
| 别名 | hierarchical ABC, ABC for hierarchical models, multilevel ABC, population ABC | multilevel Bayesian modeling, Bayesian hierarchical model, nested Bayesian model, partial pooling model |
| 相关≠ | 4 | 6 |
| 摘要≠ | Hierarchical ABC is a likelihood-free Bayesian inference method designed for multilevel data structures in which individual-level parameters are themselves drawn from a population-level distribution. By combining simulation-based rejection sampling with hierarchical pooling, it recovers both within-group and between-group posterior distributions without requiring a tractable likelihood function. | 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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