Kumaraswamy分布下负载共享并联系统的参数估计

Estimation of Parameters for Load-Sharing Parallel Systems under Kumaraswamy Distribution

在并联连接的多元件系统中,随着元件逐个失效,应用于系统的总负载在剩余幸存的元件之间重新分配,这通常称为负载共享。本文讨论了当元件的基础分布为Kumaraswamy分布时负载共享并联系统的参数估计。首先,我们列出了参数估计的具体方法并通过合适的迭代技术来获取参数估计的闭合值。其次获得了所提出的最大似然估计(MLE)的渐近分布,并对简化后的模型模拟出其参数的MLE和渐近最佳无偏估计(ABUE),再对两者进行渐近比较。最后,使用Bootstrap技术构造了参数的置信区间。

In a multi-component system connected in parallel,as the components fail one by one,the total load applied to the system is redistributed among the remaining surviving components,which is commonly referred to as load sharing.This paper studies the parameter estimation of load sharing parallel system when the basic distribution of components is Kumaraswamy distribution.First,we list the specific methods of parameter estimation,and obtain the closed value of the parameter estimates through appropriate iterative techniques.Secondly,we obtain the asymptotic distribution of the proposed maximum likelihood estimation(MLE),and the simplified model is simulated with MLE and asymptotically best unbiased estimation(ABUE),then compare the asymptotics of MLE and ABUE.Finally,the confidence interval of the parameters is constructed using Bootstrap technique.