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. https://resolver.caltech.edu/CaltechAUTHORS:20120926-093649898
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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.
| Item Type: | Book Section | ||||||
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| 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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| Record Number: | CaltechAUTHORS:20120926-093649898 | ||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20120926-093649898 | ||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
| ID Code: | 34405 | ||||||
| Collection: | CaltechAUTHORS | ||||||
| Deposited By: | Carmen Nemer-Sirois | ||||||
| Deposited On: | 22 Oct 2012 23:50 | ||||||
| Last Modified: | 03 Oct 2019 04:18 |
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