负载共享并联系统可靠性的参数估计  

Parameter Estimation of Reliability of Load Sharing Parallel System

作　　者：李丹青 LI Dan-qing(School of Mathematics and Physics,Lanzhou Jiaotong University,Lanzhou 730070,China)

机构地区：[1]兰州交通大学数理学院

出　　处：《兰州文理学院学报（自然科学版）》2020年第1期26-31,共6页Journal of Lanzhou University of Arts and Science(Natural Sciences)

摘　　要：讨论了当元件的基础分布为指数分布时负载共享并联系统的参数估计.首先,假设一个合理的负载共享并联系统,通过最大似然估计法对其参数进行估计;其次,获得最大似然估计(MLE)的渐近分布,估计了该模型的最佳渐近无偏估计(BAUE);最后,通过生成的数据用Bootstrap技术模拟了其估计值和置信区间.This paper discusses the parameter estimation of the load sharing parallel system when the fundamental distribution of the components is exponential.Firstly,a reasonable load-sharing parallel system is assumed and its parameters are estimated by the maximum likelihood estimation method.Secondly,the asymptotic distribution of maximum likelihood estimation(MLE)is obtained,and the best asymptotic unbiased estimation(BAUE)of the model is estimated.Finally,the estimated values and confidence intervals are simulated by the Bootstrap technique from the generated data.

关 键 词：负载共享系统 指数分布 最大似然估计(MLE) 最佳渐近无偏估计(ABUE) Bootstrap技术 

分 类 号：O212.1[理学—概率论与数理统计]