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首页> 外文期刊>IEEE Transactions on Reliability >Bounding the times to failure of 2-component systems
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Bounding the times to failure of 2-component systems

机译：限制2组件系统故障的时间

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摘要

Characterizing the distribution of times to failure in 2-component systems is an important special case of a more general problem, finding the distribution of a function of random variables. Advances in this area are relevant to reliability as well as other fields, and influential papers on the topic have appeared in the reliability field over a span of many years. Using failure times of 2-component systems as a vehicle, this report begins by reviewing a technique for characterizing distributions of functions of random variables when the dependency relationship between the random variables used as inputs to the function is unknown. The technique addressed is called Distribution Envelope determination (DEnv). Using this review as a foundation, an extension to DEnv is described which applies to cases where means and variances of the input distributions are known, and partial information about dependency is available in the form of a value for correlation. Pearson correlation is used because it is the most commonly encountered correlation measure. This reason is important because the assumption of independence, while common, is frequently problematic. Yet the opposite extreme of no assumption about dependency may mean ignoring available information which could affect the analysis.
机译：表征2分量系统中失效时间的分布是一个更为普遍的问题的重要特殊情况，它找到了随机变量函数的分布。该领域的进展与可靠性以及其他领域有关，多年来，有关此主题的有影响力的论文已出现在可靠性领域。本报告以2组件系统的故障时间为工具，首先回顾了一种当用于函数输入的随机变量之间的依存关系未知时表征随机变量函数分布的技术。解决的技术称为分布包络确定（DEnv）。以本综述为基础，描述了对DEnv的扩展，该扩展适用于已知输入分布的均值和方差，并且有关依存关系的部分信息以相关值的形式可用的情况。使用Pearson相关，因为它是最常遇到的相关度量。这个原因很重要，因为独立性的假设虽然很普遍，但却经常出现问题。然而，没有关于依赖的假设的相反极端可能意味着忽略可能影响分析的可用信息。

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