In this paper we consider a coherent system consisting of n components with independent and identically distributed components. We obtain a mixture representation of the reliability function of the residual lifetime o...In this paper we consider a coherent system consisting of n components with independent and identically distributed components. We obtain a mixture representation of the reliability function of the residual lifetime of living components of a coherent system when the system has failed. Based on the concept of s^gnature, stochastic comparisons on the residual life of two systems with stochastically ordered signatures are conducted.展开更多
基金Supported by the National Natural Science Foundation of China(Grant Nos.1116102871361020)
文摘In this paper we consider a coherent system consisting of n components with independent and identically distributed components. We obtain a mixture representation of the reliability function of the residual lifetime of living components of a coherent system when the system has failed. Based on the concept of s^gnature, stochastic comparisons on the residual life of two systems with stochastically ordered signatures are conducted.
