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베이지안 몬테카를로 시뮬레이션×Markov Chain Monte Carlo (MCMC)×
분야시뮬레이션시뮬레이션
계열Process / pipelineProcess / pipeline
기원 연도1987–1990s1953 (Metropolis-Hastings); 1984 (Gibbs)
창시자O'Hagan, A. and colleaguesMetropolis et al. (1953); Gibbs sampler formalised by Geman & Geman (1984)
유형Simulation / uncertainty quantificationSimulation-based Bayesian inference / numerical integration
원전O'Hagan, A., Buck, C. E., Daneshkhah, A., Eiser, J. R., Garthwaite, P. H., Jenkinson, D. J., Oakley, J. E., & Rakow, T. (2006). Uncertain Judgements: Eliciting Experts' Probabilities. Wiley. ISBN: 9780470029992Gelman, A., Carlin, J.B., Stern, H.S., Dunson, D.B., Vehtari, A. & Rubin, D.B. (2013). Bayesian Data Analysis (3rd ed.). Chapman & Hall/CRC. DOI ↗
별칭Bayesian MC, BMC simulation, Bayesian stochastic simulation, Bayesian uncertainty propagationMCMC, Metropolis-Hastings, Gibbs sampling, Markov Zinciri Monte Carlo (MCMC — Metropolis-Hastings, Gibbs)
관련45
요약Bayesian Monte Carlo Simulation integrates Bayesian statistical inference with Monte Carlo sampling to propagate uncertainty through complex models. Instead of drawing samples from arbitrary distributions, it conditions sampling on observed data and expert prior knowledge via Bayes' theorem, yielding posterior-based uncertainty estimates that are both statistically coherent and interpretable in probabilistic terms.Markov Chain Monte Carlo (MCMC) is a family of simulation algorithms that constructs a Markov chain whose stationary distribution is the target posterior, enabling Bayesian inference and high-dimensional integral computation that would otherwise be analytically intractable. Pioneered by Metropolis and colleagues in 1953 and extended by Hastings in 1970, MCMC underpins modern Bayesian statistics. The two most widely used variants are Metropolis-Hastings, which proposes moves from a general proposal distribution, and Gibbs sampling, which draws each parameter in turn from its full conditional distribution.
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ScholarGate방법 비교: Bayesian Monte Carlo Simulation · Markov Chain Monte Carlo. 2026-06-18에 다음에서 검색함: https://scholargate.app/ko/compare