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Bayesian Updating of Time-Dependent Structural Reliability Using the Method of Moment
15 references·4 citing·47 second hop
Bayesian Updating of Time-Dependent Structural Reliability Using the Method of Moment (2021)Bayesian Updating of Time-Dependent Struc…Incorporating prior knowledge with simulation data to estimate PSF multipliers using Bayesian logistic regression (2019)Incorporating prior knowledge…Fast integration algorithms for time-dependent structural reliability analysis considering correlated random variables (2019)Fast integration algorithms f…Efficient Algorithm for Evaluation of Statistical Moments of Performance Functions (2018)Efficient Algorithm for Evalu…A new bivariate dimension reduction method for efficient structural reliability analysis (2018)A new bivariate dimension red…Evaluation of Moments of Performance Functions Based on Efficient Cubature Formulation (2017)Evaluation of Moments of Perf…Time-dependent reliability of ageing structures: an approximate approach (2016)Time-dependent reliability of…Time-dependent reliability of aging structures in the presence of non-stationary loads and degradation (2014)Time-dependent reliability of…A sparse grid stochastic collocation method for structural reliability analysis (2014)A sparse grid stochastic coll…A Sampling Approach to Extreme Value Distribution for Time-Dependent Reliability Analysis (2013)A Sampling Approach to Extrem…Aleatory or epistemic? Does it matter? (2008)Aleatory or epistemic? Does i…A generalized dimension‐reduction method for multidimensional integration in stochastic mechanics (2004)A generalized dimension‐reduc…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…Integration formulas to evaluate functions of random variables (1988)Integration formulas to evalu…Quantile-based sequential optimization and reliability assessment method under random and interval hybrid uncertainty (2024)Quantile-based sequential opt…An adaptive optimal importance sampling method for efficiently calibrating augmented failure probability (2024)An adaptive optimal importanc…An information reuse-based method for reliability updating (2023)An information reuse-based me…Efficient method for fully quantifying the uncertainty of failure probability (2022)Efficient method for fully qu…Introduction to safety and reliability of structures (1997)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (2000)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output From a Computer Code (2000)Principal component analysis and polynomial chaos expansion for time-variant reliability problems (2017)Simulation of non-stationary non-Gaussian random fields from sparse measurements using Bayesian compressive sampling and Karhunen-Loève expansion (2019)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)Structural reliability under combined random load sequences (1978)Structural Reliability Methods (1996)High-Order Collocation Methods for Differential Equations with Random Inputs (2005)Temporal and spatial multi-parameter dynamic reliability and global reliability sensitivity analysis based on the extreme value moments (2017)Time-variant reliability assessment for multiple failure modes and temporal parameters (2018)On reliability analysis method through rotational sparse grid nodes (2020)Exact and Invariant Second-Moment Code Format (1974)Probability Concepts in Engineering Planning and Design (1975)Investigation of polynomial normal transform (2003)Methods of structural safety (2006)Extended Monte Carlo Simulation for Parametric Global Sensitivity Analysis and Optimization (2014)Complete monotonic expression of the fourth-moment normal transformation for structural reliability (2017)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (1979)Reliability of Highway Girder Bridges (1991)Adaptive estimation of statistical moments of the responses of random systems (2015)Adaptive scaled unscented transformation for highly efficient structural reliability analysis by maximum entropy method (2018)Optimal Discretization of Random Fields (1993)The PHI2 method: a way to compute time-variant reliability (2003)Random Vibrations: Analysis of Structural and Mechanical Systems (2011)A Time-Variant Reliability Analysis Method Based on Stochastic Process Discretization (2014)Real-time estimation error-guided active learning Kriging method for time-dependent reliability analysis (2019)The Logic of Scientific Discovery. (1960)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)Stochastic Finite Elements: A Spectral Approach (1991)A comparative study of uncertainty propagation methods for black-box-type problems (2008)A survey on approaches for reliability-based optimization (2010)Structural reliability analysis based on the concepts of entropy, fractional moment and dimensional reduction method (2013)Simulation and the Monte Carlo Method (1981)Estimation of small failure probabilities in high dimensions by subset simulation (2001)AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)A novel fractional moments-based maximum entropy method for high-dimensional reliability analysis (2019)An active failure-pursuing Kriging modeling method for time-dependent reliability analysis (2019)Parallel adaptive Bayesian quadrature for rare event estimation (2022)POINT-ESTIMATE MOMENT-BASED RELIABILITY ANALYSIS (1996)
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References

  • 2008Aleatory or epistemic? Does it matter?2,450 cited
  • 2004A generalized dimension‐reduction method for multidimensional integration in stochastic mechanics441 cited
  • 2000New Point Estimates for Probability Moments274 cited
  • 2014Time-dependent reliability of aging structures in the presence of non-stationary loads and degradation168 cited
  • 2013A Sampling Approach to Extreme Value Distribution for Time-Dependent Reliability Analysis146 cited
  • 2018A new bivariate dimension reduction method for efficient structural reliability analysis115 cited
  • 1988Integration formulas to evaluate functions of random variables109 cited
  • 2014A sparse grid stochastic collocation method for structural reliability analysis93 cited
  • 1994First-order third-moment reliability method92 cited
  • 2000Third-Moment Standardization for Structural Reliability Analysis91 cited
  • 2016Time-dependent reliability of ageing structures: an approximate approach42 cited
  • 2017Evaluation of Moments of Performance Functions Based on Efficient Cubature Formulation42 cited
  • 2019Incorporating prior knowledge with simulation data to estimate PSF multipliers using Bayesian logistic regression30 cited
  • 2018Efficient Algorithm for Evaluation of Statistical Moments of Performance Functions24 cited

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  • 2019Fast integration algorithms for time-dependent structural reliability analysis considering correlated random variables17 cited
  • Cited by

    • 2023An information reuse-based method for reliability updating10 cited
    • 2024Quantile-based sequential optimization and reliability assessment method under random and interval hybrid uncertainty8 cited
    • 2024An adaptive optimal importance sampling method for efficiently calibrating augmented failure probability7 cited
    • 2022Efficient method for fully quantifying the uncertainty of failure probability6 cited