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A novel approach to uncertainty analysis using methods of hybrid dimension reduction and improved maximum entropy
16 references·0 citing·43 second hop
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References

  • 1999General foundations of high‐dimensional model representations905 cited
  • 2001Reliability analysis—a review and some perspectives775 cited
  • 1990The Concept of Probability in Safety Assessments of Technological Systems629 cited
  • 2004A univariate dimension-reduction method for multi-dimensional integration in stochastic mechanics568 cited
  • 2003Theorems and examples on high dimensional model representation450 cited
  • 2004A generalized dimension‐reduction method for multidimensional integration in stochastic mechanics441 cited
  • 2008A comparative study of uncertainty propagation methods for black-box-type problems331 cited
  • 2016Rare Event Estimation Using Polynomial-Chaos Kriging279 cited
  • 2000New Point Estimates for Probability Moments274 cited
  • 2004An Integrated Framework for Optimization Under Uncertainty Using Inverse Reliability Strategy272 cited
  • 2007Probabilistic uncertainty analysis by mean-value first order Saddlepoint Approximation185 cited
  • 2008Eigenvector dimension reduction (EDR) method for sensitivity-free probability analysis179 cited
  • 2002Efficient statistical tolerance analysis for general distributions using three-point information165 cited
  • 2005Uncertainty Analysis by Dimension Reduction Integration and Saddlepoint Approximations161 cited

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  • 2017A hybrid relaxed first-order reliability method for efficient structural reliability analysis153 cited
  • 2015First and second order approximate reliability analysis methods using evidence theory145 cited
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