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A comparative study of probability estimation methods for reliability analysis
16 references·16 citing·27 second hopsampled
A comparative study of probability estimation methods for reliability analysis (2011)A comparative study of probability estima…Simulation and the Monte Carlo Method (2016)Simulation and the Monte Carl…Eigenvector dimension reduction (EDR) method for sensitivity-free probability analysis (2008)Eigenvector dimension reducti…Simulation and the Monte Carlo Method (2007)Simulation and the Monte Carl…Model validation and predictive capability for the thermal challenge problem (2007)Model validation and predicti…Uncertainty Analysis by Dimension Reduction Integration and Saddlepoint Approximations (2005)Uncertainty Analysis by Dimen…Sequential Optimization and Reliability Assessment Method for Efficient Probabilistic Design (2004)Sequential Optimization and R…First Order Saddlepoint Approximation for Reliability Analysis (2004)First Order Saddlepoint Appro…A univariate dimension-reduction method for multi-dimensional integration in stochastic mechanics (2004)A univariate dimension-reduct…A generalized dimension‐reduction method for multidimensional integration in stochastic mechanics (2004)A generalized dimension‐reduc…The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)The Wiener--Askey Polynomial …Maximum entropy approach for modeling random uncertainties in transient elastodynamics (2001)Maximum entropy approach for …General foundations of high‐dimensional model representations (1999)General foundations of high‐d…Efficient input—output model representations (1999)Efficient input—output model …Stochastic Finite Elements: A Spectral Approach (1991)Stochastic Finite Elements: A…Simulation and the Monte Carlo Method (1981)Simulation and the Monte Carl…Exact and Invariant Second-Moment Code Format (1974)Exact and Invariant Second-Mo…Relaxation-based importance sampling for structural reliability analysis (2023)Relaxation-based importance s…A novel maximum entropy method based on the B-spline theory and the low-discrepancy sequence for complex probability distribution reconstruction (2023)A novel maximum entropy metho…An adaptive polynomial chaos expansion for high-dimensional reliability analysis (2020)An adaptive polynomial chaos …Adaptive Bayesian quadrature based statistical moments estimation for structural reliability analysis (2020)Adaptive Bayesian quadrature …Active learning and active subspace enhancement for PDEM-based high-dimensional reliability analysis (2020)Active learning and active su…A novel approach for reliability analysis with correlated variables based on the concepts of entropy and polynomial chaos expansion (2020)A novel approach for reliabil…Time-Dependent Concurrent Reliability-Based Design Optimization Integrating the Time-Variant B-Distance Index (2019)Time-Dependent Concurrent Rel…A novel structural reliability analysis method via improved maximum entropy method based on nonlinear mapping and sparse grid numerical integration (2019)A novel structural reliabilit…Special issue: a comprehensive study on enhanced optimization-based model calibration using gradient information (2018)Special issue: a comprehensiv…Moment-Constrained Maximum Entropy Method for Expanded Uncertainty Evaluation (2018)Moment-Constrained Maximum En…Model-Based Reliability Analysis With Both Model Uncertainty and Parameter Uncertainty (2018)Model-Based Reliability Analy…Moments and maximum entropy method for expanded uncertainty estimation in measurements (2017)Moments and maximum entropy m…Model uncertainty approximation using a copula-based approach for reliability based design optimization (2016)Model uncertainty approximati…Polynomial chaos expansion method in estimating probability distribution of rotor-shaft dynamic responses (2015)Polynomial chaos expansion me…A framework of model validation and virtual product qualification with limited experimental data based on statistical inference (2014)A framework of model validati…Model Bias Characterization in the Design Space under Uncertainty (2013)Model Bias Characterization i…A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (1979)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (2000)A survey on approaches for reliability-based optimization (2010)Review of uncertainty-based multidisciplinary design optimization methods for aerospace vehicles (2011)Sensitivity measures,anova-like Techniques and the use of bootstrap (1997)High Dimensional Model Representations (2001)Theorems and examples on high dimensional model representation (2003)Efficient computation of global sensitivity indices using sparse polynomial chaos expansions (2010)Quality Engineering Using Robust Design (1991)Computational methods in optimization considering uncertainties – An overview (2008)DAKOTA : a multilevel parallel object-oriented framework for design optimization, parameter estimation, uncertainty quantification, and sensitivity analysis. Version 5.0, user's manual. (2010)Structural Reliability Analysis and Prediction (2017)Importance measures in global sensitivity analysis of nonlinear models (1996)Sensitivity Analysis for Chemical Models (2005)A new uncertainty importance measure (2006)Global sensitivity analysis using polynomial chaos expansions (2007)AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)Narrow Reliability Bounds for Structural Systems (1979)Latin hypercube sampling and the propagation of uncertainty in analyses of complex systems (2003)High-Order Collocation Methods for Differential Equations with Random Inputs (2005)Adaptive sparse polynomial chaos expansion based on least angle regression (2010)Automobile Prices in Market Equilibrium (1995)Estimation of small failure probabilities in high dimensions by subset simulation (2001)Econometric Tools for Analyzing Market Outcomes (2007)Metamodel-based importance sampling for structural reliability analysis (2013)Everything you need to know about agent-based modelling and simulation (2016)A New Study on Reliability-Based Design Optimization (1999)
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References

  • 1991Stochastic Finite Elements: A Spectral Approach5,753 cited
  • 2002The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations4,821 cited
  • 2016Simulation and the Monte Carlo Method3,356 cited
  • 1974Exact and Invariant Second-Moment Code Format3,138 cited
  • 2007Simulation and the Monte Carlo Method2,454 cited
  • 1981Simulation and the Monte Carlo Method2,402 cited
  • 2004Sequential Optimization and Reliability Assessment Method for Efficient Probabilistic Design1,106 cited
  • 1999General foundations of high‐dimensional model representations905 cited
  • 2004A univariate dimension-reduction method for multi-dimensional integration in stochastic mechanics568 cited
  • 1999Efficient input—output model representations462 cited
  • 2004A generalized dimension‐reduction method for multidimensional integration in stochastic mechanics441 cited
  • 2001Maximum entropy approach for modeling random uncertainties in transient elastodynamics324 cited
  • 2007Model validation and predictive capability for the thermal challenge problem322 cited
  • 2004First Order Saddlepoint Approximation for Reliability Analysis186 cited
  • 2008Eigenvector dimension reduction (EDR) method for sensitivity-free probability analysis

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179 cited
  • 2005Uncertainty Analysis by Dimension Reduction Integration and Saddlepoint Approximations161 cited
  • Cited by

    • 2020An adaptive polynomial chaos expansion for high-dimensional reliability analysis59 cited
    • 2018Model-Based Reliability Analysis With Both Model Uncertainty and Parameter Uncertainty50 cited
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    • 2020Active learning and active subspace enhancement for PDEM-based high-dimensional reliability analysis47 cited
    • 2019A novel structural reliability analysis method via improved maximum entropy method based on nonlinear mapping and sparse grid numerical integration41 cited
    • 2018Moment-Constrained Maximum Entropy Method for Expanded Uncertainty Evaluation39 cited
    • 2014A framework of model validation and virtual product qualification with limited experimental data based on statistical inference37 cited
    • 2015Polynomial chaos expansion method in estimating probability distribution of rotor-shaft dynamic responses28 cited
    • 2016Model uncertainty approximation using a copula-based approach for reliability based design optimization28 cited
    • 2023Relaxation-based importance sampling for structural reliability analysis27 cited
    • 2020A novel approach for reliability analysis with correlated variables based on the concepts of entropy and polynomial chaos expansion27 cited
    • 2023A novel maximum entropy method based on the B-spline theory and the low-discrepancy sequence for complex probability distribution reconstruction22 cited
    • 2013Model Bias Characterization in the Design Space under Uncertainty22 cited
    • 2018Special issue: a comprehensive study on enhanced optimization-based model calibration using gradient information19 cited
    • 2017Moments and maximum entropy method for expanded uncertainty estimation in measurements15 cited
    • 2019Time-Dependent Concurrent Reliability-Based Design Optimization Integrating the Time-Variant B-Distance Index15 cited