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贝叶斯线性回归

贝叶斯线性回归是普通线性模型的概率性扩展,通过贝叶斯规则引入,并在Gelman等人(2013)的现代计算工作流程中得到形式化。它不为每个系数返回单一的点估计,而是将用户指定的先验分布与观测数据的似然性相结合,生成所有参数的完整后验分布,并从中推导出可信区间和后验预测分布。

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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

如何引用本页

ScholarGate. (2026, June 1). Bayesian Linear Regression. ScholarGate. https://scholargate.app/zh/bayesian/bayesian-linear-regression

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被引用于

ScholarGateBayesian Linear Regression (Bayesian Linear Regression). 于 2026-06-15 检索自 https://scholargate.app/zh/bayesian/bayesian-linear-regression · 数据集: https://doi.org/10.5281/zenodo.20539026