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贝叶斯模型平均 (Bayesian Model Averaging, BMA)

由 Hoeting, Madigan, Raftery 和 Volinsky 于 1999 年作为教程正式提出的贝叶斯模型平均 (Bayesian Model Averaging, BMA) 通过对所有合理的模型设定进行平均来处理模型不确定性,而不是选择单一的最佳模型。每个候选模型都会获得一个后验概率,该概率反映了在给定先验的情况下模型拟合数据的程度,并且预测或系数估计是通过对整个模型空间进行加权平均而形成的。这种方法减少了当将单一选定的模型视为真实模型时产生的偏差和过度自信。

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来源

  1. Hoeting, J. A., Madigan, D., Raftery, A. E. & Volinsky, C. T. (1999). Bayesian Model Averaging: A Tutorial. Statistical Science, 14(4), 382–401. link
  2. Zeugner, S. & Feldkircher, M. (2015). Bayesian Model Averaging Employing Fixed and Flexible Priors: The BMS Package for R. Journal of Statistical Software, 68(4), 1–37. DOI: 10.18637/jss.v068.i04

如何引用本页

ScholarGate. (2026, June 1). Bayesian Model Averaging. ScholarGate. https://scholargate.app/zh/bayesian/bayesian-model-averaging

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被引用于

ScholarGateBayesian Model Averaging (Bayesian Model Averaging). 于 2026-06-15 检索自 https://scholargate.app/zh/bayesian/bayesian-model-averaging · 数据集: https://doi.org/10.5281/zenodo.20539026