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• W2111569007 abstract "This paper deals with the problem of determining statistical tolerance limits for the time-to-failure of a <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>k</i> -out-of- <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>n</i> :F system from component life data. The lifetimes of the components are assumed to be <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>s</i> -independently and identically distributed exponential variates. On the basis of a random sample of components, exact β-content, and β-expectation <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>s</i> -tolerance limits for the system lifetime are provided, which are valid even when certain percentages of the smallest, and the largest component failure times are missing. The proportion of conforming systems in a large batch is assessed by constructing an appropriate <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>s</i> -tolerance limit. The results presented are extended to several distributions, including the Weibull case with an unknown scale parameter. An example concerning a system of water pumps for cooling a reactor is used for illustration. The proposed method of obtaining <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>s</i> -tolerance limits can be readily applied, and requires only minimal computational effort. Our perspective is particularly attractive when system test data are not available, or are very scarce. In many circumstances, component testing is also advantageous in terms of time and cost savings." @default.
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• W2111569007 date "2010-06-01" @default.
• W2111569007 modified "2023-09-26" @default.
• W2111569007 title "Tolerance Limits for $k$-Out-of-$n$ Systems With Exponentially Distributed Component Lifetimes" @default.
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• W2111569007 doi "https://doi.org/10.1109/tr.2010.2048661" @default.
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