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The goal of this paper is to prove a result conjectured in F¨ollmer and Schachermayer [FS07], even in slightly more general form. Suppose that Sis a continuous semimartingale and satisfies a large dev...
The failure probability of a system at an uncertain state can be estimated within a precise confidence interval using the Monte-Carlo sampling technique. Using this approach, the number of system para...
This paper presents a new and alternative method based on High Dimensional Model Representation (HDMR) and Fast Fourier Transform (FFT) to estimate the structural failure probability of structural sys...
In order to overcome the weakness in traditional high arch dam safety evaluation without considering the randomness, failure mode and risk analysis, it is proposed to apply three indexes namely failur...

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