Abstract: The computation of multivariate integrals is an important mathematical problem in reliability theory. Various approximation methods have been developed for this task. In the so‐called FORM and SORM methods, it is assumed ...

Abstract: The problem of deriving approximations for multinormal integrals is examined using results of asymptotic analysis. The boundary of the integration domain given by

Abstract: The calculation of failure probabilities is one of the basic problems in structural reliability. But to understand the causes of failure, the pure calculation of probabilities is not sufficient. It is attempted to explain ...