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Differentiation of probability functions: The transformation method

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References

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2014Gradient Formulae for Nonlinear Probabilistic Constraints with Gaussian and Gaussian-Like Distributions92 cited
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2012A Gradient Formula for Linear Chance Constraints Under Gaussian Distribution51 cited
2017Properties of Chance Constraints in Infinite Dimensions with an Application to PDE Constrained Optimization43 cited
2018Eventual convexity of probability constraints with elliptical distributions36 cited
2003Stochastic optimization methods in optimal engineering design under stochastic uncertainty27 cited
2013

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On the use of a class of interior point algorithms in stochastic structural optimization

22 cited

2011Reliability sensitivity estimation of linear systems under stochastic excitation21 cited

1997Approximation and derivatives of probabilities of survival in structural analysis and design16 cited

2019Probability sensitivity estimation of linear stochastic finite element models applying Line Sampling14 cited

2021Sensitivity estimation of first excursion probabilities of linear structures subject to stochastic Gaussian loading13 cited