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Lower Confidence Bounds for System Reliability from Binary Failure Data Using Bootstrapping

Lawrence M. Leemis ()
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Lawrence M. Leemis: The College of William and Mary

Chapter 15 in Computational Probability Applications, 2017, pp 217-237 from Springer

Abstract: Abstract Binary failure data are collected for each of the independent components in a coherent system. Bootstrapping is used to determine a (1 −α)100 % lower confidence bound on the system reliability. When a component with perfect test results is encountered, a beta prior distribution is used to avoid an overly optimistic lower bound.

Keywords: Beta distribution; Binomial confidence interval; Coherent system; Computer algebra system (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:spr:isochp:978-3-319-43317-2_15

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DOI: 10.1007/978-3-319-43317-2_15

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