Σύγκριση μεθόδων

	Ανθεκτική Μοντελοποίηση Markov Chain Monte Carlo	Sequential Monte Carlo
Πεδίο	Μπεϋζιανή Στατιστική	Μπεϋζιανή Στατιστική
Οικογένεια	Bayesian methods	Bayesian methods
Έτος προέλευσης	2000s–2010s	1993 (particle filter); 2006 (SMC samplers)
Δημιουργός	Roberts, Rosenthal and colleagues; extended by Atchade, Barp, Girolami and others	Gordon, Salmond & Smith (particle filter); Del Moral, Doucet & Jasra (SMC samplers)
Τύπος	Bayesian computational sampling	Sequential Bayesian computation
Θεμελιώδης πηγή	Roberts, G. O. & Rosenthal, J. S. (2004). General state space Markov chains and MCMC algorithms. Probability Surveys, 1, 20–71.	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.
Εναλλακτικές ονομασίες	robust MCMC, outlier-robust MCMC, robust posterior sampling, misspecification-robust MCMC	SMC, particle filter, sequential importance resampling, SMC sampler
Συναφείς	5	6
Σύνοψη	Robust MCMC combines Markov chain Monte Carlo sampling with robustness techniques to produce reliable posterior inference when data contain outliers, when the assumed model is misspecified, or when the target distribution has heavy tails that cause standard samplers to mix poorly or yield distorted estimates.	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.