| Abstract: | In this discussion, R-reliable intervals for the life-time of a parallel system, based on order statistics, are obtained. The failure distributions for the individual components are assumed to have densities of the form 1/θXif(xiθXi) where Xi, for i = 1, 2, …, n, are the failure times for the components in the parallel system and θXis are the scale parameters for the failure times Xi. A relationship between the confidence of the R-reliable interval for the total lifetime of the parallel system and the confidences of the R-reliable intervals for the lifetimes of the individual components is investigated. A bound for the confidence of the R-reliable interval for the total lifetime of the system is obtained. Examples for n=3 are presented. |
