The computation of exact confidence limits on the reliability of systems using sample data on components turns out to be a very involved process or one requiring very extensive Monte Carlo runs on computers. We suggest here a simple, straight-forward procedure for approximating the fiducial probability bounds on the true system reliability which may be used as approximations to confidence bounds for the reliability of a series system for which each component has an exponential time-to-fail distribution.
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Frank E. Grubbs (1971) studied this question.
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