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Adaptive estimation for statistical moments of response based on the exact dimension reduction method in terms of vector
15 references·6 citing·38 second hop
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References

  • 2004A univariate dimension-reduction method for multi-dimensional integration in stochastic mechanics568 cited
  • 2004A generalized dimension‐reduction method for multidimensional integration in stochastic mechanics441 cited
  • 2000New Point Estimates for Probability Moments274 cited
  • 1989Probabilistic estimates for multivariate analyses227 cited
  • 2008Nataf transformation based point estimate method184 cited
  • 2017Bayesian sparse polynomial chaos expansion for global sensitivity analysis140 cited
  • 1992Point‐Estimate Method for Calculating Statistical Moments110 cited
  • 1988Integration formulas to evaluate functions of random variables109 cited
  • 2014A sparse grid stochastic collocation method for structural reliability analysis93 cited
  • 2017Sparse polynomial chaos expansion based on D-MORPH regression74 cited
  • 2015Adaptive estimation of statistical moments of the responses of random systems73 cited
  • 2017Uncertainty propagation of p-boxes using sparse polynomial chaos expansions72 cited
  • 2012Reliability–sensitivity analysis using dimension reduction methods and saddlepoint approximations66 cited
  • 1995Evaluation of probability point estimate methods66 cited
  • 1997Uncertainty Analysis by Point Estimate Methods Incorporating Marginal Distributions

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43 cited

Cited by

  • 2021Structural Reliability Assessment Based on Enhanced Conjugate Unscented Transformation and Improved Maximum Entropy Method23 cited
  • 2022Bayesian probabilistic propagation of hybrid uncertainties: Estimation of response expectation function, its variable importance and bounds18 cited
  • 2024Refined dimension-reduction integration method for uncertainty propagation in stochastic systems: Estimation of statistical moments16 cited
  • 2025Structural reliability analysis based on fractional moments-based iterative maximum entropy method and multiplicative exact dimension reduction integration method14 cited
  • 2021A multi-fidelity integration rule for statistical moments and failure probability evaluations12 cited
  • 2022An Adaptive Mixture of Normal-Inverse Gaussian Distributions for Structural Reliability Analysis12 cited