مقایسهٔ روش‌ها

	MCMC برای مقایسه مدل	محاسبات بیزی تقریبی
حوزه	بیزی	شبیه‌سازی
خانواده	Bayesian methods	Process / pipeline
سال پیدایش	1995	2002
پدیدآور	Peter J. Green (reversible-jump MCMC); Meng & Wong (bridge sampling)	—
نوع	Bayesian computational method	Simulation-based Bayesian inference
منبع بنیادین	Green, P. J. (1995). Reversible jump Markov chain Monte Carlo computation and Bayesian model determination. Biometrika, 82(4), 711–732.	Beaumont, M.A., Zhang, W. & Balding, D.J. (2002). Approximate Bayesian Computation in Population Genetics. Genetics, 162(4), 2025-2035.
نام‌های دیگر	reversible-jump MCMC, RJMCMC, marginal likelihood estimation via MCMC, Bayesian model selection via MCMC	ABC, likelihood-free inference, simulation-based inference, Yaklaşık Bayesçi Hesaplama (ABC)
مرتبط	5	5
خلاصه	MCMC for model comparison uses Markov chain Monte Carlo algorithms to estimate the marginal likelihoods and Bayes factors needed to formally compare competing statistical models. Techniques such as reversible-jump MCMC and bridge sampling allow exploration across model spaces of different dimensionality, enabling fully Bayesian model selection and averaging.	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.