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利用缩减样本空间方法替代贝叶斯公式的计算
引用本文:彭雨明,凌卫平.利用缩减样本空间方法替代贝叶斯公式的计算[J].韶关学院学报,2014(8):5-8.
作者姓名:彭雨明  凌卫平
作者单位:广东白云学院基础教学部,广东广州510500
摘    要:条件概率的计算是概率论中极其重要的计算之一,一般有利用定义式计算和缩减样本空间计算两种方法.缩减样本空间计算法在先验概率问题计算上比较浅显易懂,但在后验概率问题上计算一般不采用这个方法,而是使用定义式来计算,后验概率的计算又和贝叶斯公式有较大的关系.着重讨论缩减样本空间计算法在后验概率问题上的应用.从而避免利用贝叶斯公式计算的繁琐过程.

关 键 词:条件概率  先验概率  后验概率  缩减样本空间

On using the method of the sample space to replace the Bayesian formula calculation
PENG Yu-ming,LING Wei-ping.On using the method of the sample space to replace the Bayesian formula calculation[J].Journal of Shaoguan University(Social Science Edition),2014(8):5-8.
Authors:PENG Yu-ming  LING Wei-ping
Institution:(Foundation Department,Guangdong Baiyun University, Guangzhou, 510540,Guangdong,China)
Abstract:Conditional probability calculations are extremely important probability theory basics, there are generally calculated by use of the definition or of the methods to reduce the sample space. Reducing the sample space on the a priori probability calculation is easy to understand the problem, but a posteriori computational problems generally are calculated using the definition, then the calculation of posterior probability have a greater relationship with the Bayesian formula. This paper focuses on reducing the sample space to calculate posterior probability problems, thus avoiding the use of Bayesian formula to calculate the tedious process.
Keywords:conditional probability  prior probability  posteriori probability  reduced sample space
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