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The computation of standard normal distribution integral in any required precision based on reliability method

机译：基于可靠性方法以任何要求的精度计算标准正态分布积分

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摘要

Based on reliability theory, the value of the standard normal distribution integral can be obtained by calculating the probability of the failure domain of the linear performance function. After the sample space is divided into some sub-sample spaces, a number of sub-failure domains are obtained. In the paper, the methods of computing the probabilities of sub-failure domains are discussed. All the formulae and the steps of computing the standard normal distribution integral which meet any required precision are given in the paper. Examples show that it is easy for the method to compute the standard normal distribution integral.
机译：根据可靠性理论，可以通过计算线性性能函数失效域的概率来获得标准正态分布积分的值。将样本空间划分为一些子样本空间后，将获得多个子故障域。本文讨论了计算次失效域概率的方法。本文给出了满足标准精度的所有公式和计算标准正态分布积分的步骤。实例表明，该方法很容易计算标准正态分布积分。

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