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Asymptotic distributions for downtimes of monotone systems. (English)
J. Appl. Probab. 36, No.3, 814-824 (1999).
The paper investigates a monotone binary system with $n$ independent components, each of which has exponentially distributed uptimes, and downtimes following a distribution $G$. Letting the component failure rate tend to zero, the limit distribution of the length of the $r$th downtime of the system is analysed. It is shown that the obtained limiting distribution is equal to the distribution of the length of downtime after an infinite long operation period.
Reviewer: Elart von Collani (Würzburg)
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