Improvement Of Second‐Order Reliability Estimates by Importance Sampling

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Abstract
The calculation of probability integrals is one of the most important tasks in structural reliability. First-order and asymptotic second-order methods have been proposed. The method of importance sampling is applied to determine the remaining error and to define a correction factor for the asymptotic second-order methods. The method can be made arbitrarily exact at the expense of more numerical effort.

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