无失效数据场合下Pareto分布可靠度的Bayes估计  

Bayesian Estimation of Pareto Distribution Reliability in the Case of Zero-Failure Data

作　　者：汪茜熙 WANG Qianxi(School of Mathematics and Information,China West Normal University,Nanchong,Sichuan 637009)

机构地区：[1]西华师范大学数学与信息学院,四川南充637009

出　　处：《绵阳师范学院学报》2024年第2期19-24,48,共7页Journal of Mianyang Teachers＇ College

基　　金：国家自然科学基金项目(72101172).

摘　　要：在无失效数据场合下,根据Pareto分布的分布函数的上凸函数性质,讨论Pareto分布可靠度的Bayes估计.首先取关于失效概率P_(i)的减函数(1-P_(i))^(a)作为P_(i)先验分布的核函数,给出了可靠度Ri的先验分布,然后计算其Bayes估计,最后进行了算例分析.算例分析结果表明,与取均匀分布作为失效概率的先验分布相比,本文提出的方法有效提高了Pareto分布可靠度的估计精度.In the absence of failure data,based on the property of the upper convex function of the distribution function of Pareto distribution,the Bayesian estimation of the reliability of Pareto distribution is discussed.Firstly,taking the kernel function of the prior distribution of failure probability as the reduction function,and the prior distribution of reliability is given.Then,the Bayes estimation is calculated,and finally,an example analysis is conducted.The analysis results of the example show that compared to taking a uniform distribution as a prior distri⁃bution of failure probability,the method proposed in this paper effectively improves the estimation accuracy of Pareto distribution reliability.

关 键 词：PARETO分布 无失效数据 BAYES估计 可靠度 

分 类 号：O212.8[理学—概率论与数理统计]