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A note on the mean residual life function of a coherent system with exchangeable or nonidentical components. (English) Zbl 1216.62158

Summary: This article investigates some properties of the mean residual life function of \((n-k+1)\)-out-of-\(n\) systems, when the lifetimes of the system components are independent random variables but not necessarily identically distributed and when the joint distribution of the component life times is exchangeable, extending results of M. Asadi and S. Goliforushani [On the mean residual life function of coherent systems. IEEE Transact. Reliab. 57, No. 4, 574–580 (2008)] for the case of independent and identically distributed components. The extension to a coherent system with exchangeable components is also given.

MSC:

62N05 Reliability and life testing
60K10 Applications of renewal theory (reliability, demand theory, etc.)
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