The concept of residual lifetime has attracted considerable research interest in reliability theory.\r\nIt is useful for evaluating the dynamic behavior of a system. In this paper, we study the extreme\r\nresidual lives, that is, the minimum and maximum residual lives of the remaining components\r\nafter the failure of the system. The system is assumed to have an arbitrary structure. We obtain\r\nsignature-based distributional and ordering results for the extreme residual lives.
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