关键词: Burr Ⅻ分布, Copula函数, 屏蔽数据, 串联系统, 偏差校正的百分位bootstrap方法

Abstract: We considered the problem of the reliability analysis of the dependent series system with masked data. Firstly, when the component life followed Burr Ⅻ distribution, 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-Ⅱ censored system 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 data 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.

Key words: Burr Ⅻ distribution, Copula function, masked data, series system, bias-corrected percentile bootstrap method