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- W1998472048 abstract "A failure distribution represents an attempt to describe mathematically the length of life of a device.Most often the possibility remains that the analysts may be hesitant or unwilling to entertain any well known theoretical failure distribution. Therefore, one must rely on actual observations of the time to failure to construct an empirical cumulative failure distribution function. We present some useful results in constructing statistical confidence regions for the entire failure cumulative distribution function (cdf), F(x) from which a random sample has been drawn. The bandwidth of these regions becomes narrower in some parts of the distribution where we may want to have more precise information about failure cdf than is afforded by the ordinary Kolmogorov-Smirnov (K−S) confidence region. The problem of constructing the best, having minimum risk, confidence region from a decision theoretic approach is also considered.Illustrative numerical examples are presented." @default.
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- W1998472048 date "1996-10-01" @default.
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- W1998472048 title "Confidence regions having different shapes for the failure distribution function" @default.
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- W1998472048 doi "https://doi.org/10.1016/0026-2714(95)00206-5" @default.
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