قارن الطرق

	الحساب البايزي التقريبي متعدد المستويات	مونت كارلو التسلسلي
المجال	بايزي	بايزي
العائلة	Bayesian methods	Bayesian methods
سنة النشأة	2000s–2010s	1993 (particle filter); 2006 (SMC samplers)
صاحب الطريقة	Extension of ABC (Beaumont et al., 2002) to multilevel/hierarchical settings; developed across multiple authors in the 2010s	Gordon, Salmond & Smith (particle filter); Del Moral, Doucet & Jasra (SMC samplers)
النوع	Simulation-based Bayesian inference	Sequential Bayesian computation
المصدر التأسيسي	Beaumont, M. A., Zhang, W., & Balding, D. J. (2002). Approximate Bayesian computation in population genetics. Genetics, 162(4), 2025–2035.	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.
الأسماء البديلة	multilevel ABC, hierarchical ABC, multi-level ABC, ABC for hierarchical models	SMC, particle filter, sequential importance resampling, SMC sampler
ذات صلة	6	6
الملخص	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.	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.