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Efficient method for fully quantifying the uncertainty of failure probability
16 references·0 citing·48 second hop
Efficient method for fully quantifying the uncertainty of failure probability (2022)Efficient method for fully quantifying th…A compatible probabilistic framework for quantification of simultaneous aleatory and epistemic uncertainty of basic parameters of structures by synthesizing the change of measure and change of random variables (2019)A compatible probabilistic fr…Extended Monte Carlo Simulation for Parametric Global Sensitivity Analysis and Optimization (2014)Extended Monte Carlo Simulati…Advanced Line Sampling for efficient robust reliability analysis (2014)Advanced Line Sampling for ef…Subset simulation for structural reliability sensitivity analysis (2008)Subset simulation for structu…Aleatory or epistemic? Does it matter? (2008)Aleatory or epistemic? Does i…Reliability-based Structural Design (2006)Reliability-based Structural …Local estimation of failure probability function and its confidence interval with maximum entropy principle (2006)Local estimation of failure p…Modeling and analysis of uncertainties for risk-informed decisions in infrastructures engineering (2004)Modeling and analysis of unce…A generalized dimension‐reduction method for multidimensional integration in stochastic mechanics (2004)A generalized dimension‐reduc…Reliability-based structural optimization using neural networks and Monte Carlo simulation (2002)Reliability-based structural …Moment methods for structural reliability (2001)Moment methods for structural…Estimation of small failure probabilities in high dimensions by subset simulation (2001)Estimation of small failure p…Third-Moment Standardization for Structural Reliability Analysis (2000)Third-Moment Standardization …New Point Estimates for Probability Moments (2000)New Point Estimates for Proba…First-order third-moment reliability method (1994)First-order third-moment reli…Measures of Structural Safety Under Imperfect States of Knowledge (1989)Measures of Structural Safety…Non-Normal Dependent Vectors in Structural Safety (1981)Structural Dynamics with Parameter Uncertainties (1987)System Reliability Assessment by Method of Moments (2003)Analytical robustness assessment for robust design (2006)Nataf transformation based point estimate method (2008)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)Structural reliability analysis based on the concepts of entropy, fractional moment and dimensional reduction method (2013)Probability Concepts in Engineering Planning and Design (1975)Structural Reliability under Incomplete Probability Information (1986)On computation methods for structural reliability analysis (1990)Multi-attribute utility analysis in set-based conceptual design (2008)Separating the contributions of variability and parameter uncertainty in probability distributions (2012)Computational methods for efficient structural reliability and reliability sensitivity analysis (1994)Reliability of structures in high dimensions, part I: algorithms and applications (2004)Global sensitivity analysis-enhanced surrogate (GSAS) modeling for reliability analysis (2015)Adaptive surrogate model with active refinement combining Kriging and a trust region method (2017)Monte Carlo and variance reduction methods for structural reliability analysis: A comprehensive review (2023)Simulation and the Monte Carlo Method (1981)The stochastic finite element method: Past, present and future (2008)A combined Importance Sampling and Kriging reliability method for small failure probabilities with time-demanding numerical models (2012)The generalization of Latin hypercube sampling (2015)Simulation and the Monte Carlo Method (2016)Fuzzy sets (1965)Fuzzy sets (1996)An Introduction to Copulas (1999)AKOIS: An adaptive Kriging oriented importance sampling method for structural system reliability analysis (2019)Surrogate-assisted reliability-based design optimization: a survey and a unified modular framework (2019)Engineering analysis with probability boxes: A review on computational methods (2021)The Logic of Scientific Discovery. (1960)Structural Reliability Methods (1996)Logic of Scientific Discovery, The (2010)Imprecise probabilities in engineering analyses (2013)Sensitivity analysis: A review of recent advances (2015)Variable importance analysis: A comprehensive review (2015)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (1979)Stochastic Finite Elements: A Spectral Approach (1991)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (2000)A comparative study of uncertainty propagation methods for black-box-type problems (2008)A survey on approaches for reliability-based optimization (2010)System reliability analysis by enhanced Monte Carlo simulation (2009)An efficient response surface method using moving least squares approximation for structural reliability analysis (2010)Time-dependent reliability analysis with joint upcrossing rates (2013)Reliability-based design optimization using kriging surrogates and subset simulation (2011)A new learning function for Kriging and its applications to solve reliability problems in engineering (2015)
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References

  • 2008Aleatory or epistemic? Does it matter?2,450 cited
  • 2001Estimation of small failure probabilities in high dimensions by subset simulation2,419 cited
  • 2001Moment methods for structural reliability633 cited
  • 2006Reliability-based Structural Design588 cited
  • 2002Reliability-based structural optimization using neural networks and Monte Carlo simulation516 cited
  • 2004A generalized dimension‐reduction method for multidimensional integration in stochastic mechanics441 cited
  • 2008Subset simulation for structural reliability sensitivity analysis284 cited
  • 2000New Point Estimates for Probability Moments274 cited
  • 2014Advanced Line Sampling for efficient robust reliability analysis212 cited
  • 1989Measures of Structural Safety Under Imperfect States of Knowledge181 cited
  • 2004Modeling and analysis of uncertainties for risk-informed decisions in infrastructures engineering138 cited
  • 2006Local estimation of failure probability function and its confidence interval with maximum entropy principle129 cited
  • 1994First-order third-moment reliability method92 cited
  • 2000Third-Moment Standardization for Structural Reliability Analysis91 cited
  • 2019A compatible probabilistic framework for quantification of simultaneous aleatory and epistemic uncertainty of basic parameters of structures by synthesizing the change of measure and change of random variables

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75 cited
  • 2014Extended Monte Carlo Simulation for Parametric Global Sensitivity Analysis and Optimization68 cited
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