This article deals with the estimation of parameters for the load-sharing parallel system when the underlying distribution of component lifetime is exponential Pareto. The appropriate iterative method is used to get the parameter estimators. And the asymptotic distribution of the proposed maximum likelihood estimator is presented. For the model simplified, the maximum likelihood and best asymptotic unbiased estimators of parameters are obtained. Moreover, the confidence intervals for the parameters are constructed using the parameter bootstrap technique. In the end, some appropriate simulation methods and an example are used to substantiate the proposed methods.

中文翻译：

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指数Pareto分布下的负载分担并行系统参数估计

当组件寿命的基础分布是指数Pareto时，本文讨论负载共享并行系统的参数估计。适当的迭代方法用于获取参数估计量。并给出了所提出的最大似然估计器的渐近分布。对于简化的模型，获得了参数的最大似然和最佳渐近无偏估计量。此外，使用参数自举技术构造参数的置信区间。最后，使用一些合适的仿真方法和一个实例来证实所提出的方法。