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鲁棒吉布斯采样

鲁棒吉布斯采样是一种马尔可夫链蒙特卡洛策略,它将逐坐标吉布斯采样器与重尾或抗离群值模型规范相结合——最常见的是学生 t 似然函数——从而使后验推断不被极端观测值所扭曲。它通过数据增强实现鲁棒性:每次观测都接收一个潜在的方差权重,该权重在每次采样扫描中自动降低离群值的影响。

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来源

  1. Geweke, J. (1993). Bayesian treatment of the independent Student-t linear model. Journal of Applied Econometrics, 8(S1), S19–S40. DOI: 10.1002/jae.3950080504
  2. Chib, S. & Greenberg, E. (1995). Understanding the Metropolis-Hastings algorithm. The American Statistician, 49(4), 327–335. DOI: 10.1080/00031305.1995.10476177

如何引用本页

ScholarGate. (2026, June 3). Robust Gibbs Sampling. ScholarGate. https://scholargate.app/zh/bayesian/robust-gibbs-sampling

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ScholarGateRobust Gibbs Sampling (Robust Gibbs Sampling). 于 2026-06-15 检索自 https://scholargate.app/zh/bayesian/robust-gibbs-sampling · 数据集: https://doi.org/10.5281/zenodo.20539026