Ⅱ型截尾下威布尔分布特征寿命的模糊贝叶斯估计  

Fuzzy Bayesian Estimation for Characteristic Lifetime of Weibull Distribution Based on Type-Ⅱ Censored Data

作　　者：殷世茂[1] 

机构地区：[1]安徽工业大学管理学院,安徽马鞍山243032

出　　处：《安徽工业大学学报（自然科学版）》2013年第2期187-191,共5页Journal of Anhui University of Technology（Natural Science）

摘　　要：讨论在Ⅱ型截尾数据下威布尔分布特征寿命的模糊贝叶斯估计问题。将特征寿命视为模糊随机变量,进一步假定其先验分布的参数为模糊实数,利用模糊集理论中"Resolution Identity"定理和传统贝叶斯估计方法,获得特征寿命的模糊贝叶斯估计量。数例验证了该方法的可行性。Discuss the fuzzy Bayesian estimation for the characteristic lifetime of the Weibull distribution based on Type-Ⅱ Censored data. Firstly, the characteristic lifetime is assumed to be a fuzzy random variable, furtherly, the parameters of the prior distribution are considered as fuzzy real numbers, the fuzzy Bayes point estimator of the characteristic lifetime are provided by invoking the well-known theorem called ＇Resolution Identiy＇ in fuzzy sets theory and the conventional Bayesian estimation method. Finally, an numerical example is given to explaining the method is feasible.

关 键 词：模糊实数 模糊随机变量 模糊贝叶斯点估计 隶属函数 隶属度 

分 类 号：O213.2[理学—概率论与数理统计]