Reliability of stress–strength model for exponentiated Pareto distributions
Reliability of stress–strength model for exponentiated Pareto distributions
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DOI：
10.1080/00949655.2016.1226309
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发表时间：
2017-03
影响因子：
1.2
通讯作者：
Jinyuan Chen;Conghua Cheng
中科院分区：
文献类型：
--
作者：
Jinyuan Chen;Conghua Cheng
摘要本文讨论了当系统的强度和施加在系统上的应力是独立的、非相同的指数Pareto分布随机变量时，系统的可靠性问题。提出了不同的点估计和区间估计。得到的点估计量是极大似然估计量、一致最小方差无偏估计量和贝叶斯估计量。得到的区间估计是近似的、精确的、bootstrap-p和bootstrap-t置信区间和贝叶斯可信区间。通过蒙特卡罗模拟，比较了不同的方法和相应的置信区间。
ABSTRACT 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 distributed random variables. Different point estimations and interval estimations are proposed. The point estimators obtained are maximum likelihood, uniformly minimum variance unbiased and Bayesian estimators. The interval estimations obtained are approximate, exact, bootstrap-p and bootstrap-t confidence intervals and Bayesian credible interval. Different methods and the corresponding confidence intervals are compared using Monte-carlo simulations.