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动态 Metropolis-Hastings 算法×Metropolis-Hastings算法×
领域贝叶斯贝叶斯
方法族Bayesian methodsBayesian methods
起源年份1970 (algorithm); 1992 (dynamic application)1953
提出者W. K. Hastings (algorithm); applied to dynamic models by Carlin, Polson & StofferMetropolis et al. (1953); generalised by Hastings (1970)
类型Bayesian MCMC sampler for dynamic modelsMarkov chain Monte Carlo sampler
开创性文献Hastings, W. K. (1970). Monte Carlo sampling methods using Markov chains and their applications. Biometrika, 57(1), 97–109. DOI ↗Metropolis, N., Rosenbluth, A. W., Rosenbluth, M. N., Teller, A. H., & Teller, E. (1953). Equation of state calculations by fast computing machines. The Journal of Chemical Physics, 21(6), 1087–1092. DOI ↗
别名Dynamic MH, MH for state-space models, Metropolis-Hastings in dynamic models, time-varying parameter MHMH algorithm, M-H algorithm, Metropolis algorithm, Metropolis-Hastings sampler
相关55
摘要The Dynamic Metropolis-Hastings (Dynamic MH) algorithm applies the Metropolis-Hastings MCMC sampler to Bayesian state-space and time-varying parameter models. At each time step, latent states or evolving parameters are updated via proposal-and-accept moves, yielding full posterior distributions over trajectories rather than single filtered estimates.The Metropolis-Hastings (MH) algorithm is a general-purpose Markov chain Monte Carlo (MCMC) method for drawing samples from any probability distribution whose density can be evaluated up to a normalising constant. Introduced by Metropolis, Rosenbluth, Rosenbluth, Teller, and Teller (1953) in computational physics and generalised by Hastings (1970) to asymmetric proposal distributions, it is the foundational algorithm from which nearly all subsequent MCMC samplers — Gibbs sampling, Hamiltonian Monte Carlo, slice sampling — are derived or can be viewed as special cases.
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ScholarGate方法对比: Dynamic Metropolis-Hastings Algorithm · Metropolis-Hastings Algorithm. 于 2026-06-17 检索自 https://scholargate.app/zh/compare