A conjugate prior is an algebraic convenience, giving a closed-form expression for the posterior; otherwise, numerical integration may be necessary. Further, conjugate priors may give intuition by more transparently showing how a likelihood function updates a prior distribution.

共轭先验(conjugate prior)是在使用贝叶斯方法进行数据分析时候会经常遇到的一个词汇，也经常让初学贝叶斯方法的小白（比如本人）感到困惑。 本文将针对为什么引入先验，共轭先验与后验似然的关系以及常见的先验-后…

共轭先验 (Conjugate Prior) ：对于某些 似然函数 ，如果你选择了某个先验，使得后验和先验具有相同的分布，则将该先验称为共轭先验。 在我们还不了解共轭先验作用的时候，这里先举个例子：假设似然函数 P( X \mid \theta) 是二项分布， \theta 是成功的概率，我们的 ...

在贝叶斯统计中，如果后验分布与先验分布属于同类，则先验分布与后验分布被称为共轭分布，而先验分布被称为似然函数的共轭先验（Conjugate prior）。

Discover how conjugate priors are defined in Bayesian inference. Learn how to derive the formula for the conjugate prior when the likelihood belongs to an exponential family. Read detailed examples and explanations.

2018年11月16日 · A conjugate distribution is a type of prior distribution that, when combined with a specific likelihood function, results in a posterior distribution that has the same form as the prior.

In this section we introduce the idea of a conjugate prior. The basic idea is as follows. Given a likelihood p(x|θ), we choose a family of prior distributions such that integrals of the form Eq. (9.3) can be obtained tractably (for every prior in the family). Moreover, we 1

2016年1月19日 · 共轭先验（conjugate prior） 共轭是贝叶斯理论中的一个概念，一般共轭要说是一个先验分布与似然函数共轭； 那么就从贝叶斯理论中的先验概率，后验概率以及似然函数说起：

2024年12月2日 · A conjugate distribution is a type of prior distribution that, when combined with a specific likelihood function, results in a posterior distribution that has the same form as the prior. This prior is called the conjugate prior for the given likelihood function.

2020年1月8日 · The Core of Conjugate Priors. For certain likelihood functions, selecting a specific prior results in the posterior sharing the same distribution as the prior. This type of prior is then called a conjugate prior. It is often easier to understand a concept through examples.