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Biometrika 1980 67(2):351-357; doi:10.1093/biomet/67.2.351
© 1980 by Biometrika Trust
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Asymptotic expansions to improve large sample confidence intervals for system reliability

ALAN WINTERBOTTOM

Mathematics Department, The City University London

Asymptotic expansions are used to provide first- and second-order adjustments to large sample approximations for system reliability confidence intervals obtained from component test data. The effectiveness of the adjustments for sample sizes of practical interest is demonstrated by numerical comparisons with results obtained using exact methods and also by a Monte Carlo study for systems with known reliabilities.

Key Words: Asymptotic expansion • Confidence limit • Cumulant • Nuisance parameter • System reliability function


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