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A Decoupling Algorithm for Efficient Estimation of Failure Probability Function Based on Statistical Moment Functions
16 references·0 citing·44 second hopsampled
A Decoupling Algorithm for Efficient Estimation of Failure Probability Function Based on Statistical Moment Functions (2024)A Decoupling Algorithm for Efficient Esti…An advanced mixed-degree cubature formula for reliability analysis (2022)An advanced mixed-degree cuba…Estimation of Failure Probability Function under Imprecise Probabilities by Active Learning–Augmented Probabilistic Integration (2021)Estimation of Failure Probabi…An efficient method based on AK-MCS for estimating failure probability function (2020)An efficient method based on …An innovative estimation of failure probability function based on conditional probability of parameter interval and augmented failure probability (2019)An innovative estimation of f…A reliability analysis method based on analytical expressions of the first four moments of the surrogate model of the performance function (2018)A reliability analysis method…Structural reliability analysis based on the concepts of entropy, fractional moment and dimensional reduction method (2013)Structural reliability analys…Local estimation of failure probability function by weighted approach (2013)Local estimation of failure p…An adaptive decoupling approach for reliability-based design optimization (2013)An adaptive decoupling approa…Reliability–sensitivity analysis using dimension reduction methods and saddlepoint approximations (2012)Reliability–sensitivity analy…A support vector density-based importance sampling for reliability assessment (2012)A support vector density-base…AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)AK-MCS: An active learning re…Local estimation of failure probability function and its confidence interval with maximum entropy principle (2006)Local estimation of failure p…Reliability-based design sensitivity by efficient simulation (2005)Reliability-based design sens…Structural optimization of linear dynamical systems under stochastic excitation: a moving reliability database approach (2004)Structural optimization of li…Moment methods for structural reliability (2001)Moment methods for structural…Reliability-Based Optimization of structural systems (1997)Reliability-Based Optimizatio…Structural Reliability Methods (1996)Survey of sampling-based methods for uncertainty and sensitivity analysis (2006)Post optimization for accurate and efficient reliability‐based design optimization using second‐order reliability method based on importance sampling and its stochastic sensitivity analysis (2015)Evaluation of Moments of Performance Functions Based on Efficient Cubature Formulation (2017)An improved high order moment-based saddlepoint approximation method for reliability analysis (2020)Exact and Invariant Second-Moment Code Format (1974)A fast and efficient response surface approach for structural reliability problems (1990)Methods of structural safety (2006)Efficient Spreadsheet Algorithm for First-Order Reliability Method (2007)Review of uncertainty-based multidisciplinary design optimization methods for aerospace vehicles (2011)Stochastic Finite Elements: A Spectral Approach (1991)Kriging Metamodeling in Simulation: A Review (2007)A combined Importance Sampling and Kriging reliability method for small failure probabilities with time-demanding numerical models (2012)Metamodel-based importance sampling for structural reliability analysis (2013)LIF: A new Kriging based learning function and its application to structural reliability analysis (2016)Importance sampling in structural systems (1989)Estimation of small failure probabilities in high dimensions by subset simulation (2001)Computational methods in optimization considering uncertainties – An overview (2008)Reliability based design optimization with approximate failure probability function in partitioned design space (2017)Reliability-based optimization in structural engineering (1994)A New Study on Reliability-Based Design Optimization (1999)Sequential Optimization and Reliability Assessment Method for Efficient Probabilistic Design (2004)A local adaptive sampling method for reliability-based design optimization using Kriging model (2013)A system active learning Kriging method for system reliability-based design optimization with a multiple response model (2020)New efficient and robust method for structural reliability analysis and its application in reliability-based design optimization (2020)Probability, statistics, and decision for civil engineers (1970)Stochastic Subset Optimization for optimal reliability problems (2008)Reliability-based optimization of stochastic systems using line search (2009)Reliability-based design optimization of structural systems under stochastic excitation: An overview (2021)Safety and the Probability of Structural Failure (1956)Application of Structural Systems Reliability Theory (1986)A critical appraisal of methods to determine failure probabilities (1987)General foundations of high‐dimensional model representations (1999)AKOIS: An adaptive Kriging oriented importance sampling method for structural system reliability analysis (2019)REIF: A novel active-learning function toward adaptive Kriging surrogate models for structural reliability analysis (2019)Recent Advances in Surrogate Modeling Methods for Uncertainty Quantification and Propagation (2022)Probabilistic Theory of Structural Dynamics (1976)Efficient strategies for reliability-based optimization involving non-linear, dynamical structures (2010)Rare event simulation in finite-infinite dimensional space (2015)Subset simulation for structural reliability sensitivity analysis (2008)Reliability engineering (2011)Simulation and the Monte Carlo Method (2016)Structural Reliability Analysis and Prediction (2017)Monte Carlo and variance reduction methods for structural reliability analysis: A comprehensive review (2023)
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References

  • 2011AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation2,048 cited
  • 2001Moment methods for structural reliability633 cited
  • 2005Reliability-based design sensitivity by efficient simulation330 cited
  • 2013Structural reliability analysis based on the concepts of entropy, fractional moment and dimensional reduction method309 cited
  • 1997Reliability-Based Optimization of structural systems182 cited
  • 2013An adaptive decoupling approach for reliability-based design optimization144 cited
  • 2006Local estimation of failure probability function and its confidence interval with maximum entropy principle129 cited
  • 2004Structural optimization of linear dynamical systems under stochastic excitation: a moving reliability database approach107 cited
  • 2012Reliability–sensitivity analysis using dimension reduction methods and saddlepoint approximations66 cited
  • 2013Local estimation of failure probability function by weighted approach64 cited
  • 2022An advanced mixed-degree cubature formula for reliability analysis62 cited
  • 2012A support vector density-based importance sampling for reliability assessment59 cited
  • 2021Estimation of Failure Probability Function under Imprecise Probabilities by Active Learning–Augmented Probabilistic Integration58 cited
  • 2018A reliability analysis method based on analytical expressions of the first four moments of the surrogate model of the performance function

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56 cited
  • 2019An innovative estimation of failure probability function based on conditional probability of parameter interval and augmented failure probability53 cited
  • 2020An efficient method based on AK-MCS for estimating failure probability function51 cited
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