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Reliability-based design optimization of problems with correlated input variables using a Gaussian Copula
8 references·16 citing·39 second hop
Reliability-based design optimization of problems with correlated input variables using a Gaussian Copula (2008)Reliability-based design optimization of …Structural Reliability Analysis and Prediction (2017)Structural Reliability Analys…Dimension reduction method for reliability-based robust design optimization (2007)Dimension reduction method fo…Methods of structural safety (2006)Methods of structural safetyEnriched Performance Measure Approach for Reliability-Based Design Optimization. (2005)Enriched Performance Measure …Adaptive probability analysis using an enhanced hybrid mean value method (2004)Adaptive probability analysis…An Introduction to Copulas (1999)An Introduction to CopulasStructural Reliability Methods (1996)Structural Reliability MethodsNon-Normal Dependent Vectors in Structural Safety (1981)Non-Normal Dependent Vectors …Improved dynamic design method of ballasted high-speed railway bridges using surrogate-assisted reliability-based design optimization of dependent variables (2023)Improved dynamic design metho…Modeling, analysis, and optimization under uncertainties: a review (2021)Modeling, analysis, and optim…Reliability-based design optimization of a pick-up device of a manganese nodule pilot mining robot using the Coandă effect (2019)Reliability-based design opti…Uncertainty quantification in multiscale simulation of woven fiber composites (2018)Uncertainty quantification in…Generalized Reliability Importance Measure (GRIM) using Gaussian mixture (2018)Generalized Reliability Impor…An efficient method for moment-independent global sensitivity analysis by dimensional reduction technique and principle of maximum entropy (2018)An efficient method for momen…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…Weighted stochastic response surface method considering sample weights (2011)Weighted stochastic response …Sampling-Based Stochastic Sensitivity Analysis Using Score Functions for RBDO Problems With Correlated Random Variables (2011)Sampling-Based Stochastic Sen…Sampling-based RBDO using the stochastic sensitivity analysis and Dynamic Kriging method (2011)Sampling-based RBDO using the…Computational uncertainty analysis in multiresolution materials via stochastic constitutive theory (2010)Computational uncertainty ana…Adaptive-sparse polynomial chaos expansion for reliability analysis and design of complex engineering systems (2010)Adaptive-sparse polynomial ch…System reliability-based design optimization using the MPP-based dimension reduction method (2009)System reliability-based desi…Sensitivity analyses of FORM‐based and DRM‐based performance measure approach (PMA) for reliability‐based design optimization (RBDO) (2009)Sensitivity analyses of FORM‐…Identification of marginal and joint CDFs using Bayesian method for RBDO (2009)Identification of marginal an…Structural Reliability Theory and Its Applications (1982)Probability, reliability and statistical methods in engineering design (1999)Inverse analysis method using MPP-based dimension reduction for reliability-based design optimization of nonlinear and multi-dimensional systems (2008)Simulation and the Monte Carlo Method (2016)A Critical Review of Surrogate Assisted Robust Design Optimization (2017)Exact and Invariant Second-Moment Code Format (1974)Structural reliability under combined random load sequences (1978)Simulation and the Monte Carlo Method (1981)A hybrid chaos control approach of the performance measure functions for reliability-based design optimization (2014)A Comparative Study of Metaheuristic Algorithms for Reliability-Based Design Optimization Problems (2020)Response Surface Methodology (1996)Selecting Probabilistic Approaches for Reliability-Based Design Optimization (2004)A Nested Extreme Response Surface Approach for Time-Dependent Reliability-Based Design Optimization (2012)Surrogate-assisted reliability-based design optimization: a survey and a unified modular framework (2019)Stochastic Finite Elements: A Spectral Approach (1991)The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)Time-variant reliability assessment through equivalent stochastic process transformation (2016)Bayesian sparse polynomial chaos expansion for global sensitivity analysis (2017)Probability Concepts in Engineering Planning and Design (1975)Global sensitivity analysis using polynomial chaos expansions (2007)Aleatory or epistemic? 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(2008)AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)Risk, Uncertainty and Profit (1921)Fuzzy sets (1965)Fuzzy sets (1996)A state-of-the-art review on uncertainty analysis of rotor systems (2022)Recent Advances in Surrogate Modeling Methods for Uncertainty Quantification and Propagation (2022)Dimensional decomposition-aided metamodels for uncertainty quantification and optimization in engineering: A review (2024)Uncertainties in risk analysis: Six levels of treatment (1996)Reliability analysis—a review and some perspectives (2001)Sequential Optimization and Reliability Assessment Method for Efficient Probabilistic Design (2004)First-order concepts in system reliability (1982)Second‐Order Reliability Approximations (1987)The stochastic finite element method in structural reliability (1988)Optimization algorithms for structural reliability (1991)A New Study on Reliability-Based Design Optimization (1999)Quantitative Risk Management: Concepts, Techniques, and Tools (2005)MODELLING ASYMMETRIC EXCHANGE RATE DEPENDENCE* (2006)Introductory Econometrics for Finance (2008)
this work references cited by second hop

References

  • 1999An Introduction to Copulas7,743 cited
  • 2017Structural Reliability Analysis and Prediction3,780 cited
  • 1996Structural Reliability Methods2,192 cited
  • 2006Methods of structural safety1,835 cited
  • 1981Non-Normal Dependent Vectors in Structural Safety577 cited
  • 2005Enriched Performance Measure Approach for Reliability-Based Design Optimization.321 cited
  • 2004Adaptive probability analysis using an enhanced hybrid mean value method208 cited
  • 2007Dimension reduction method for reliability-based robust design optimization196 cited

Cited by

  • 2010Adaptive-sparse polynomial chaos expansion for reliability analysis and design of complex engineering systems183 cited
  • 2021Modeling, analysis, and optimization under uncertainties: a review166 cited
  • 2011Sampling-based RBDO using the stochastic sensitivity analysis and Dynamic Kriging method158 cited
  • 2018Uncertainty quantification in multiscale simulation of woven fiber composites131 cited
  • 2015A Vine-Copula-Based Reliability Analysis Method for Structures With Multidimensional Correlation98 cited
  • 2011Sampling-Based Stochastic Sensitivity Analysis Using Score Functions for RBDO Problems With Correlated Random Variables83 cited

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2009
Identification of marginal and joint CDFs using Bayesian method for RBDO
78 cited
  • 2018An efficient method for moment-independent global sensitivity analysis by dimensional reduction technique and principle of maximum entropy76 cited
  • 2010Computational uncertainty analysis in multiresolution materials via stochastic constitutive theory68 cited
  • 2013Bivariate distribution models using copulas for reliability analysis68 cited
  • 2009Sensitivity analyses of FORM‐based and DRM‐based performance measure approach (PMA) for reliability‐based design optimization (RBDO)65 cited
  • 2009System reliability-based design optimization using the MPP-based dimension reduction method59 cited
  • 2019Reliability-based design optimization of a pick-up device of a manganese nodule pilot mining robot using the Coandă effect53 cited
  • 2018Generalized Reliability Importance Measure (GRIM) using Gaussian mixture48 cited
  • 2011Weighted stochastic response surface method considering sample weights45 cited
  • 2023Improved dynamic design method of ballasted high-speed railway bridges using surrogate-assisted reliability-based design optimization of dependent variables41 cited