两个独立部件并联系统的随机序性质  

Properties of Stochastic Orders on Parallel Systems with Two Independent Components

作　　者：徐雅琳 陈豪 蔡南莲[1] XU Yalin;CHEN Hao;CAI Nanlian(School of Science,Jimei University,Xiamen 36)

机构地区：[1]集美大学理学院

出　　处：《集美大学学报（自然科学版）》2020年第1期63-68,共6页Journal of Jimei University：Natural Science

基　　金：国家自然科学基金项目(11771181)

摘　　要：考虑两个独立且服从指数分布的部件组成的并联系统,研究两个并联系统Σ1和Σ2,其中Σ1和Σ2有一个部件参数相同,另一个部件参数不同,得到了Σ1和Σ2在随机序、似然比序、故障率序和反故障率序意义下的随机比较性质。同时,得到了部件服从成比例故障率模型和韦布尔分布模型的相应结论。The parallel system composed of two independent and exponentially distributed components was mainly considered.By studying two such parallel systemsΣ1 andΣ2,where the parameters of one component are the same and the parameters of the other component are different,the stochastic comparison properties of parallel systemsΣ1 andΣ2 in the sense of stochastic order were gained,likelihood ratio,hazard rate and reverse hazard rate.Meanwhile,the results of the proportional hazard rate model and Weibull distribution model were obtained.

关 键 词：指数分布 似然比序 故障率序 反故障率序 随机序 成比例故障率模型 韦布尔分布 

分 类 号：O211.5[理学—概率论与数理统计]