Bayesian methodsBayesian / computational
Multilevel Approximate Bayesian Computation
Multilevel Approximate Bayesian Computation (multilevel ABC) extends simulation-based Bayesian inference to hierarchically structured data. When the likelihood is intractable and observations are nested within groups, it replaces direct likelihood evaluation with simulations at each level of the hierarchy, accepting parameter draws whose simulated summary statistics are close to the observed ones.
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Sources
- Beaumont, M. A., Zhang, W., & Balding, D. J. (2002). Approximate Bayesian computation in population genetics. Genetics, 162(4), 2025–2035. DOI: 10.1093/genetics/162.4.2025 ↗
- Jasra, A., Singh, S. S., Martin, J. S., & McCoy, E. (2012). Filtering via approximate Bayesian computation. Statistics and Computing, 22(6), 1223–1237. DOI: 10.1007/s11222-011-9281-7 ↗