正态分布下参数的模糊贝叶斯估计（英文）  

Fuzzy Bayesian Estimation for Parameters Based on Normal Distribution

作　　者：汤胜道[1] 殷世茂[1] 

机构地区：[1]安徽工业大学数理学院,安徽马鞍山243002

出　　处：《南京师大学报（自然科学版）》2015年第1期13-20,共8页Journal of Nanjing Normal University(Natural Science Edition)

基　　金：Supported by the National Natural Science Foundation of China(31300125)

摘　　要：在参数估计中,寿命数据是非常重要的.传统的估计是基于完全精确的寿命数据.然而,在实际中由于种种原因,有时收集的数据往往是不精确的.这样,参数的模糊估计方法就十分必要.本文将贝叶斯估计方法与模糊集理论相结合,给出了正态总体中两参数的模糊贝叶斯估计.最后,用一个数值例子演示了本文的方法.Lifetime data is important to parameter estimation. Conventional estimation needs a lot of precise data. In real world,however,the collected data is often imprecise or vague due to all kinds of factors. Thus,the fuzzy Bayesian estimation is just essential. In this paper,the fuzzy bayesian estimators of two parameters based on normal distribution are given by combining fuzzy sets theory with Bayesian estimation approach. In the final section,a numerical example is used to demonstrate the proposed approach.

关 键 词：贝叶斯估计 模糊寿命 隶属函数 正态分布 

分 类 号：O213.2[理学—概率论与数理统计]