统计模拟在工程诊断中的一些应用

Some Applications of the Bootstrap to Diagnosis of Problems in Engineering

讨论了 Bootstrap方法在工程诊断中的一些应用。该方法综合了数字模拟和经典的统计方法 ,着重于去除统计工具在工程领域的应用障碍。本文回顾了该方法的基本原理 ,尝试将之用于解决工程诊断中的一些诸如诊断不一致性、诊断特征和伪距离的定量评估等问题并取得了较好的效果。文中举例展示了该方法的优点并探讨了其进一步应用的潜力。

This paper deals with some applications of the bootstrap technique to engineering diagnosis. It is well known that the bootstrap is the integration of numerical simulation with classical statistical methods to remove the obstacles to the application of statistical tools to engineering. This paper reviews its basic principle and attempts to apply it to solve some diagnostic problems in engineering, such as the quantitative evaluation of diagnostic inconsistency, the diagnostic features and the pseudo distances. Examples cited in the paper reveal the advantages of the method, and the potential of its further applications is also discussed.