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# 共轭先验

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[关于Beta分布、二项分布与Dirichlet分布、多项分布的关系](https://www.cnblogs.com/wybang/p/3206719.html)

指数分布族选择的共轭先验有如下特征：

![exp-conjugate-prior](/files/-LpO6-skwCm2Uc440ZWS)

对应的后验分布为：

![exp-conjugate-posterior](/files/-LpO6-sotyEULBo2pt2L)