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共轭先验分析

共轭先验分析是一类贝叶斯推断方法,其中先验分布和似然函数属于一个匹配的族——称为共轭对——使得后验分布具有与先验完全相同的函数形式,并且可以以闭式形式推导出来。共轭分析由 Raiffa 和 Schlaifer (1961) 系统性地引入,并由 DeGroot (1970) 加以巩固,它是入门级贝叶斯统计学的教学支柱,并且在需要解析可处理性时是一种实用工具。

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来源

  1. Raiffa, H. & Schlaifer, R. (1961). Applied Statistical Decision Theory. Harvard University Press. ISBN: 978-0-87584-017-8
  2. DeGroot, M. H. (1970). Optimal Statistical Decisions. McGraw-Hill. ISBN: 978-0-07-016242-6
  3. 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: 978-1-4398-4095-5

如何引用本页

ScholarGate. (2026, June 3). Conjugate Prior Bayesian Analysis. ScholarGate. https://scholargate.app/zh/bayesian/conjugate-prior-analysis

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ScholarGateConjugate Prior Analysis (Conjugate Prior Bayesian Analysis). 于 2026-06-15 检索自 https://scholargate.app/zh/bayesian/conjugate-prior-analysis · 数据集: https://doi.org/10.5281/zenodo.20539026