Published May 1998 | public
Book Section - Chapter

Asymptotic Approximation of Probability Integrals with Applications to Reliability of Uncertain Dynamical Systems

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Abstract

New asymptotic approximations of reliability integrals are developed in both the spaces of original and transformed (independently, normally distributed) variables. In the transformed variables, the approximation yields a very simple formula for approximating the value of SORM integrals. Examples are presented illustrating the accuracy of the approximations and results are compared with some existing approximations of reliability integrals.

Additional Information

©ASCE, Reston, VA, 1998. This paper is based upon work partly supported by the National Science Foundation under grant BCS-9796135 and under subcontract to CMS-9503370. This support is gratefully acknowledged.

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Created:
August 19, 2023
Modified:
October 19, 2023