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An adaptive hybrid dimension-reduction model and its application for statistical moments estimation of stochastic systems and reliability analysis of structures
16 references·0 citing·37 second hop
An adaptive hybrid dimension-reduction model and its application for statistical moments estimation of stochastic systems and reliability analysis of structures (2022)An adaptive hybrid dimension-reduction mo…Simulation and the Monte Carlo Method (2016)Simulation and the Monte Carl…Adaptive estimation of statistical moments of the responses of random systems (2015)Adaptive estimation of statis…A sparse grid stochastic collocation method for structural reliability analysis (2014)A sparse grid stochastic coll…Structural reliability analysis based on the concepts of entropy, fractional moment and dimensional reduction method (2013)Structural reliability analys…Reliability–sensitivity analysis using dimension reduction methods and saddlepoint approximations (2012)Reliability–sensitivity analy…Stochastic Dynamics of Structures (2009)Stochastic Dynamics of Struct…Solution of generalized density evolution equation via a family of δ sequences (2008)Solution of generalized densi…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…System Reliability Assessment by Method of Moments (2003)System Reliability Assessment…CQ2RS: a new statistical approach to the response surface method for reliability analysis (2002)CQ2RS: a new statistical appr…Moment methods for structural reliability (2001)Moment methods for structural…High Dimensional Model Representations (2001)High Dimensional Model Repres…Directional methods for structural reliability analysis (2000)Directional methods for struc…General foundations of high‐dimensional model representations (1999)General foundations of high‐d…Multiple design points in first and second-order reliability (1998)Multiple design points in fir…Methods of structural safety (1987)Structural Reliability Methods (1996)First excursion probabilities for linear systems by very efficient importance sampling (2001)Important sampling in high dimensions (2002)Methods of structural safety (2006)Review and application of Artificial Neural Networks models in reliability analysis of steel structures (2014)Exact and Invariant Second-Moment Code Format (1974)A fast and efficient response surface approach for structural reliability problems (1990)Efficient Spreadsheet Algorithm for First-Order Reliability Method (2007)Review of uncertainty-based multidisciplinary design optimization methods for aerospace vehicles (2011)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 survey on approaches for reliability-based optimization (2010)Probability Concepts in Engineering Planning and Design (1975)Narrow Reliability Bounds for Structural Systems (1979)The Number Theoretical Method in Response Analysis of Nonlinear Stochastic Structures (2006)Adaptive radial-based importance sampling method for structural reliability (2007)Monte Carlo and variance reduction methods for structural reliability analysis: A comprehensive review (2023)Efficient input—output model representations (1999)GUI–HDMR – A software tool for global sensitivity analysis of complex models (2008)An adaptive high-dimensional stochastic model representation technique for the solution of stochastic partial differential equations (2010)Global Sensitivity Analysis for Systems with Independent and/or Correlated Inputs (2010)Importance measures in global sensitivity analysis of nonlinear models (1996)Sensitivity Analysis for Chemical Models (2005)A new uncertainty importance measure (2006)Sensitivity analysis: A review of recent advances (2015)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)A comparative study of uncertainty propagation methods for black-box-type problems (2008)Automobile Prices in Market Equilibrium (1995)Estimation of small failure probabilities in high dimensions by subset simulation (2001)Latin hypercube sampling and the propagation of uncertainty in analyses of complex systems (2003)Advances of the probability density evolution method for nonlinear stochastic systems (2011)A GF-discrepancy for point selection in stochastic seismic response analysis of structures with uncertain parameters (2015)Random function based spectral representation of stationary and non-stationary stochastic processes (2016)
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References

  • 2016Simulation and the Monte Carlo Method3,424 cited
  • 2009Stochastic Dynamics of Structures923 cited
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  • 2001Moment methods for structural reliability633 cited
  • 2004A univariate dimension-reduction method for multi-dimensional integration in stochastic mechanics568 cited
  • 2001High Dimensional Model Representations497 cited
  • 2004A generalized dimension‐reduction method for multidimensional integration in stochastic mechanics441 cited
  • 1998Multiple design points in first and second-order reliability385 cited
  • 2013Structural reliability analysis based on the concepts of entropy, fractional moment and dimensional reduction method309 cited
  • 2000Directional methods for structural reliability analysis278 cited
  • 2002CQ2RS: a new statistical approach to the response surface method for reliability analysis208 cited
  • 2003System Reliability Assessment by Method of Moments127 cited
  • 2014A sparse grid stochastic collocation method for structural reliability analysis93 cited
  • 2015Adaptive estimation of statistical moments of the responses of random systems73 cited
  • 2012Reliability–sensitivity analysis using dimension reduction methods and saddlepoint approximations

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66 cited
  • 2008Solution of generalized density evolution equation via a family of δ sequences45 cited
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