BurrⅫ部件相依屏蔽数据系统的可靠性分析

Reliability Analysis of Dependent MaskedData Systems with BurrⅫComponents

考虑相依串联屏蔽数据系统的可靠性分析问题.首先,在部件寿命服从BurrⅫ分布的情形下,通过引入Copula函数建立部件寿命变量之间的相依结构,以及相依串联屏蔽数据系统的可靠性模型,并推导出串联系统的一些概率结果;其次,基于逐步Ⅱ型截尾的系统失效数据,得到模型参数的极大似然估计,并基于渐近正态性理论和bootstrap抽样算法,构造模型参数的渐近置信区间及偏差校正的百分位bootstrap置信区间;最后,进行仿真模拟和真实数据分析,结果表明,该模型方法对相依屏蔽数据系统的可靠性分析可行且有效.

We considered the problem of the reliability analysis of the dependent series system with masked data.Firstly,when t he component life followed BurrⅫdistribution,the dependent structure of component life variables and the reliability model of dependent series system with masked data were established by introducing Copula function,and some probability results for the series system were derived.Secondly,Based on the progressively Type-Ⅱcensored syste m failure data,we obtained the maximum likelihood estimation of model parameters,and the asymptotic confidence intervals and bias-corrected percentile bootstrap confidence intervals of model parameters were constructed based on asymptotic normality theory and bootstrap sampling algorithm.Finally,simulation and real d ata analysis were carried out.The results show that the proposed model methods are feasible and effective for the reliability analysis of dependent masked data systems.