最大熵先验下正态分布模型的Bayes模糊假设检验  

Bayesian Multiple Fuzzy Hypothesis Test of Normal Distribution Under Maximum Entropy Priori

作　　者：王燕飞[1] 

机构地区：[1]吉林化工学院理学院

出　　处：《数学的实践与认识》2018年第5期158-163,共6页Mathematics in Practice and Theory

摘　　要：研究了正态分布总体在方差已知，总体均值为正的条件下，获得最大熵先验分布，并根据贝叶斯风险准则求得多重模糊假设检验问题的最优决策．最后用算例说明其有效性．In this paper, when the total variance of normal distribution is known and oval mean is positive, the posterior distribution is obtained under the maximum entropy principle. According to Bayesian risk criterion, the optimal decision is derived on multiple fuzzy hypothesis test. Finally, a numerical example is applied for expressing its availability.

关 键 词：最大熵先验 正态分布 多重模糊假设检验 贝叶斯风险 

分 类 号：O212.8[理学—概率论与数理统计]