基于贝叶斯理论的共轭先验分布研究

Based on the Conjugate Transcendental Distribution of Bayesian Theory

通过分析讨论贝叶斯统计理论中先验分布、条件分布、贝叶斯公式的密度函数等概念,在共轭先验分布理论的基础上,探讨了一些常用的单参数分布族,如二项分布、泊松分布、指数分布、正态分布等常见分布的共轭先验分布问题,并得出相关结论.

This paper discusses the concept of the transcendental distribution,conditional distribution and den.sity function of bayesian formulas in bayesian statistical theory,on the basis of the theory of conjugate prior distribu.tion,discusses some commonly used single parameter distribution family,such as the binomial distribution,poissondistribution,an index distribution,normal distribution and other common conjugate prior distribution problems,anddraw relevant conclusions.