Comprehensive evaluation of mean residual life of complex system

The mean residual life of complex system is an important reliability index which is focused on very much in engineering, but it is rarely studied so far. The confidence distribution of single equipment's reliability, such as exponential distribution, Weibull distribution and log-normal distribution, is derived by fiducial distribution. Based on lest information of components composed the complex system, the confidence distribution of the system reliability is obtained via the structure of the system. The comprehensive evaluation model of the mean residual life of complex system is established from the relationship between reliability and mean residual life, and the evaluation algorithm is given in detail. For incomplete data like censored data which is often occurred during component test, one pseudo-complete sample technique is given. In the end, the good performances of the methods discussed in the paper are shown by simulation and a real example.