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Do Rosenblatt and Nataf isoprobabilistic transformations really differ?
6 references·16 citing·35 second hop
Do Rosenblatt and Nataf isoprobabilistic transformations really differ? (2009)Do Rosenblatt and Nataf isoprobabilistic …An innovating analysis of the Nataf transformation from the copula viewpoint (2008)An innovating analysis of the…A generalization of the Nataf transformation to distributions with elliptical copula (2008)A generalization of the Nataf…An Introduction to Copulas (1999)An Introduction to CopulasStructural Reliability Methods (1996)Structural Reliability MethodsStructural Reliability under Incomplete Probability Information (1986)Structural Reliability under …Exact and Invariant Second-Moment Code Format (1974)Exact and Invariant Second-Mo…On distribution-based global sensitivity analysis by polynomial chaos expansion (2022)On distribution-based global …Efficient reliability analysis using prediction-oriented active sparse polynomial chaos expansion (2022)Efficient reliability analysi…Polynomial chaos expansion for sensitivity analysis of model output with dependent inputs (2021)Polynomial chaos expansion fo…Structural reliability assessment through surrogate based importance sampling with dimension reduction (2020)Structural reliability assess…Deep reinforcement learning-based sampling method for structural reliability assessment (2020)Deep reinforcement learning-b…Adaptive experiment design for probabilistic integration (2020)Adaptive experiment design fo…Active learning line sampling for rare event analysis (2020)Active learning line sampling…Vine copula-based dependence and portfolio value-at-risk analysis of the cryptocurrency market (2019)Vine copula-based dependence …Reliability-based sensitivity estimators of rare event probability in the presence of distribution parameter uncertainty (2018)Reliability-based sensitivity…A general framework for data-driven uncertainty quantification under complex input dependencies using vine copulas (2018)A general framework for data-…OpenTURNS: An Industrial Software for Uncertainty Quantification in Simulation (2017)OpenTURNS: An Industrial Soft…Multivariate environmental contours using C-vine copulas (2016)Multivariate environmental co…OpenTURNS: An Industrial Software for Uncertainty Quantification in Simulation (2015)OpenTURNS: An Industrial Soft…Environmental contours using copulas (2015)Environmental contours using …A Vine-Copula-Based Reliability Analysis Method for Structures With Multidimensional Correlation (2015)A Vine-Copula-Based Reliabili…Bivariate distribution models using copulas for reliability analysis (2013)Bivariate distribution models…Structural reliability under combined random load sequences (1978)Narrow Reliability Bounds for Structural Systems (1979)Second‐Order Reliability Approximations (1987)Optimal Discretization of Random Fields (1993)Reliability analysis—a review and some perspectives (2001)A NEW MEASURE OF RANK CORRELATION (1938)A general solution framework for time-variant reliability based design optimization (2017)An advanced mixed-degree cubature formula for reliability analysis (2022)Kinematic trajectory accuracy reliability analysis for industrial robots considering intercorrelations among multi-point positioning errors (2022)Probability Concepts in Engineering Planning and Design (1975)Aleatory or epistemic? 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References

  • 1999An Introduction to Copulas7,743 cited
  • 1974Exact and Invariant Second-Moment Code Format3,138 cited
  • 1996Structural Reliability Methods2,192 cited
  • 1986Structural Reliability under Incomplete Probability Information853 cited
  • 2008An innovating analysis of the Nataf transformation from the copula viewpoint286 cited
  • 2008A generalization of the Nataf transformation to distributions with elliptical copula163 cited

Cited by

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  • 2015Environmental contours using copulas101 cited
  • 2015A Vine-Copula-Based Reliability Analysis Method for Structures With Multidimensional Correlation98 cited
  • 2016Multivariate environmental contours using C-vine copulas92 cited
  • 2017OpenTURNS: An Industrial Software for Uncertainty Quantification in Simulation91 cited
  • 2020Active learning line sampling for rare event analysis83 cited
  • 2013Bivariate distribution models using copulas for reliability analysis68 cited
  • 2021Polynomial chaos expansion for sensitivity analysis of model output with dependent inputs

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65 cited
  • 2020Deep reinforcement learning-based sampling method for structural reliability assessment62 cited
  • 2020Adaptive experiment design for probabilistic integration49 cited
  • 2022On distribution-based global sensitivity analysis by polynomial chaos expansion46 cited
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  • 2022Efficient reliability analysis using prediction-oriented active sparse polynomial chaos expansion42 cited
  • 2019Vine copula-based dependence and portfolio value-at-risk analysis of the cryptocurrency market41 cited
  • 2018Reliability-based sensitivity estimators of rare event probability in the presence of distribution parameter uncertainty40 cited