Towards a theory of confidence intervals for system reliability. (English) Zbl 0769.62074
In a binary coherent system of nonrepairable components whose lifelengths have a distribution which is a member of the exponential family of distributions, approximate confidence intervals are obtained for the survivor function and the mean time to system failure. The intervals are obtained through inversion of the likelihood ratio test and are shown to be strongly consistent.
Reviewer: P.W.Jones (Keele)
Keywords:
reliability function; sufficient statistic; chi-square distribution; binary coherent system of nonrepairable components; exponential family; approximate confidence intervals; survivor function; mean time to system failure; inversion of the likelihood ratio testReferences:
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