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| Approximate Bayesian Computation× | Sequentielle Monte-Carlo-Methoden× | |
|---|---|---|
| Fachgebiet≠ | Simulation | Bayes-Statistik |
| Familie≠ | Process / pipeline | Bayesian methods |
| Entstehungsjahr≠ | 2002 | 1993 (particle filter); 2006 (SMC samplers) |
| Urheber≠ | — | Gordon, Salmond & Smith (particle filter); Del Moral, Doucet & Jasra (SMC samplers) |
| Typ≠ | Simulation-based Bayesian inference | Sequential Bayesian computation |
| Wegweisende Quelle≠ | Beaumont, M.A., Zhang, W. & Balding, D.J. (2002). Approximate Bayesian Computation in Population Genetics. Genetics, 162(4), 2025-2035. DOI ↗ | Gordon, N. J., Salmond, D. J., & Smith, A. F. M. (1993). Novel approach to nonlinear/non-Gaussian Bayesian state estimation. IEE Proceedings F - Radar and Signal Processing, 140(2), 107–113. DOI ↗ |
| Aliasnamen | ABC, likelihood-free inference, simulation-based inference, Yaklaşık Bayesçi Hesaplama (ABC) | SMC, particle filter, sequential importance resampling, SMC sampler |
| Verwandt≠ | 5 | 6 |
| Zusammenfassung≠ | Approximate Bayesian Computation (ABC) is a family of simulation-based inference methods that estimate posterior distributions without requiring an analytically tractable likelihood function. Introduced by Beaumont, Zhang and Balding (2002) in the context of population genetics, ABC replaced the intractable likelihood with repeated model simulation and a comparison of summary statistics between simulated and observed data. | Sequential Monte Carlo (SMC) is a family of simulation-based algorithms that approximate evolving probability distributions by propagating and reweighting a cloud of weighted random draws called particles. It handles nonlinear, non-Gaussian models and streams of data naturally, making it the method of choice for real-time state estimation and posterior approximation over complex distributions. |
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