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马尔可夫链蒙特卡洛 (MCMC)

马尔可夫链蒙特卡洛 (MCMC) 是一类计算算法,用于从复杂的概率分布中采样,最常见的是贝叶斯推断中出现的后验分布。MCMC 不直接计算后验分布(这对于实际模型来说很少可能),而是构建一个马尔可夫链,使其平稳分布为目标后验分布,并从中抽取相关的样本,从而能够对几乎任何模型进行完全的概率推断。

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来源

  1. Gelman, A., Carlin, J. B., Stern, H. S., Dunson, D. B., Vehtari, A. & Rubin, D. B. (2013). Bayesian Data Analysis (3rd ed.). CRC Press. ISBN: 978-1439840955
  2. Brooks, S., Gelman, A., Jones, G. & Meng, X.-L. (Eds.). (2011). Handbook of Markov Chain Monte Carlo. CRC Press. ISBN: 978-1420079418

如何引用本页

ScholarGate. (2026, June 1). Markov Chain Monte Carlo. ScholarGate. https://scholargate.app/zh/bayesian/mcmc

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被引用于

ScholarGateMCMC (Markov Chain Monte Carlo). 于 2026-06-15 检索自 https://scholargate.app/zh/bayesian/mcmc · 数据集: https://doi.org/10.5281/zenodo.20539026