基于截尾数据指数Pareto分布应力-强度模型的可靠性

在II型双截尾删失计划下，讨论了当系统被独立的随机施加指数Pareto （EP）压力时的系统可靠性问题.作者给出了系统可靠性参数的不同点估计和区间估计，其中点估计包括一致最小方差无偏估计（UMVUE）和最大似然估计（MLE）；区间估计包括精确置信区间，近似置信区间和bootstrap的区间估计.为了评价不同估计方法效果，作者提供数值模拟结果；最后提供了一个真实数据的分析结果来演示本文提出的方法.

Reliability of Stress-strength Model for Exponentiated Pareto Model with Censored Data

In this paper, the reliability of a system is discussed when the strength of the system and the stress imposed on it are independent, non identical exponentiated Pareto (EP) distributed random variables with doubly Type-II censored scheme. Different point estimations and interval estimations are proposed. The point estimators obtained are uniformly minimum variance unbiased estimators (UMVUE) and maximum likelihood estimators (MLE). The interval estimations obtained are the exact, approximate and bootstrap confidence intervals. An extensive computer simulation is used to compare the performances of the proposed estimators. One data analysis has been performed for illustrative purpose.