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This paper is concerned with the number of components that are failed at the time of system failure. We study the corresponding quantity for a coherent structure via the system signature. Furthermore, we study the distribution of the number of failures after a specified time until the system failure. We illustrate the results for well-known general classes of coherent systems such as linear consecutivek-within-m-out-of-n:F, andm-consecutive-k-out-of-n:F.
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Serkan Eryılmaz (2011) studied this question.
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