Beck, James L. and Papadimitriou, Costas and Polidori, David C. (1998) Asymptotic Approximation of Probability Integrals with Applications to Reliability of Uncertain Dynamical Systems. In: Proceedings 12th Engineering Mechanics Conference. ASCE , Reston, VA, pp. 1359-1362. http://resolver.caltech.edu/CaltechAUTHORS:20120926-093649898
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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.
|Item Type:||Book Section|
|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.|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Carmen Nemer-Sirois|
|Deposited On:||22 Oct 2012 23:50|
|Last Modified:||23 Aug 2016 10:18|
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