Towards a theory of confidence intervals for system reliability (Q1209447)

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scientific article; zbMATH DE number 167952
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Towards a theory of confidence intervals for system reliability
scientific article; zbMATH DE number 167952

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    Towards a theory of confidence intervals for system reliability (English)
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    16 May 1993
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    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.
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    reliability function
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    sufficient statistic
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    chi-square distribution
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    binary coherent system of nonrepairable components
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    exponential family
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    approximate confidence intervals
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    survivor function
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    mean time to system failure
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    inversion of the likelihood ratio test
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