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Asymptotic approximations for probability integrals
11 references·16 citing·28 second hop
Asymptotic approximations for probability integrals (1989)Asymptotic approximations for probability…Methods of structural safety (2006)Methods of structural safetyProbability Integration by Directional Simulation (1988)Probability Integration by Di…Adaptive sampling — an iterative fast Monte Carlo procedure (1988)Adaptive sampling — an iterat…Second‐Order Reliability Approximations (1987)Second‐Order Reliability Appr…Methods of structural safety (1987)Methods of structural safetyA critical appraisal of methods to determine failure probabilities (1987)A critical appraisal of metho…Basic Analysis of Structural Safety (1983)Basic Analysis of Structural …Non-Normal Dependent Vectors in Structural Safety (1981)Non-Normal Dependent Vectors …Quadratic Limit States in Structural Reliability (1979)Quadratic Limit States in Str…Exact and Invariant Second-Moment Code Format (1974)Exact and Invariant Second-Mo…Safety and the Probability of Structural Failure (1956)Safety and the Probability of…Engineering analysis with probability boxes: A review on computational methods (2021)Engineering analysis with pro…UQpy: A general purpose Python package and development environment for uncertainty quantification (2020)UQpy: A general purpose Pytho…AKOIS: An adaptive Kriging oriented importance sampling method for structural system reliability analysis (2019)AKOIS: An adaptive Kriging or…A sampling-based method for high-dimensional time-variant reliability analysis (2019)A sampling-based method for h…Forward and inverse structural uncertainty propagations under stochastic variables with arbitrary probability distributions (2018)Forward and inverse structura…Structural reliability analysis for p-boxes using multi-level meta-models (2017)Structural reliability analys…First and second order approximate reliability analysis methods using evidence theory (2015)First and second order approx…A Vine-Copula-Based Reliability Analysis Method for Structures With Multidimensional Correlation (2015)A Vine-Copula-Based Reliabili…A novel evidence-theory-based reliability analysis method for structures with epistemic uncertainty (2013)A novel evidence-theory-based…A non-probabilistic structural reliability analysis method based on a multidimensional parallelepiped convex model (2013)A non-probabilistic structura…Meta-models for Structural Reliability and Uncertainty Quantification (2012)Meta-models for Structural Re…A new reliability analysis method for uncertain structures with random and interval variables (2012)A new reliability analysis me…Tail order and intermediate tail dependence of multivariate copulas (2011)Tail order and intermediate t…Structural reliability analysis based on random distributions with interval parameters (2011)Structural reliability analys…A robust iterative algorithm for structural reliability analysis (2010)A robust iterative algorithm …Polynomial chaos for the approximation of uncertainties: Chances and limits (2008)Polynomial chaos for the appr…Simulation and the Monte Carlo Method (1981)Monte Carlo techniques in computational stochastic mechanics (1998)A response surface method based on weighted regression for structural reliability analysis (2004)Simulation and the Monte Carlo Method (2016)Monte Carlo and variance reduction methods for structural reliability analysis: A comprehensive review (2023)Small sample sensitivity analysis techniques for computer models.with an application to risk assessment (1980)A benchmark study on importance sampling techniques in structural reliability (1993)Review and application of Artificial Neural Networks models in reliability analysis of steel structures (2014)MCMC algorithms for Subset Simulation (2015)Narrow Reliability Bounds for Structural Systems (1979)Structural Reliability under Incomplete Probability Information (1986)The stochastic finite element method in structural reliability (1987)First-order concepts in system reliability (1982)The stochastic finite element method in structural reliability (1988)Latin hypercube sampling and the propagation of uncertainty in analyses of complex systems (2003)Sequential Optimization and Reliability Assessment Method for Efficient Probabilistic Design (2004)Optimization algorithms for structural reliability (1991)A New Study on Reliability-Based Design Optimization (1999)Reliability analysis—a review and some perspectives (2001)A general procedure for first/second-order reliabilitymethod (FORM/SORM) (1999)The equivalent extreme-value event and evaluation of the structural system reliability (2006)A survey on approaches for reliability-based optimization (2010)A new learning function for Kriging and its applications to solve reliability problems in engineering (2015)New light on first- and second-order reliability methods (1987)Improvement Of Second‐Order Reliability Estimates by Importance Sampling (1988)Multiple design points in first and second-order reliability (1998)Structural reliability analysis for implicit performance functions using artificial neural network (2004)Enriched Performance Measure Approach for Reliability-Based Design Optimization. (2005)
this work references cited by second hop

References

  • 1974Exact and Invariant Second-Moment Code Format3,138 cited
  • 2006Methods of structural safety1,835 cited
  • 1987Second‐Order Reliability Approximations583 cited
  • 1981Non-Normal Dependent Vectors in Structural Safety577 cited
  • 1983Basic Analysis of Structural Safety530 cited
  • 1988Adaptive sampling — an iterative fast Monte Carlo procedure464 cited
  • 1987A critical appraisal of methods to determine failure probabilities436 cited
  • 1987Methods of structural safety390 cited
  • 1979Quadratic Limit States in Structural Reliability388 cited
  • 1988Probability Integration by Directional Simulation339 cited
  • 1956Safety and the Probability of Structural Failure304 cited

Cited by

  • 2012Meta-models for Structural Reliability and Uncertainty Quantification181 cited
  • 2011Structural reliability analysis based on random distributions with interval parameters165 cited
  • 2013A novel evidence-theory-based reliability analysis method for structures with epistemic uncertainty151 cited
  • 2019AKOIS: An adaptive Kriging oriented importance sampling method for structural system reliability analysis148 cited

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  • 2015First and second order approximate reliability analysis methods using evidence theory145 cited
  • 2021Engineering analysis with probability boxes: A review on computational methods142 cited
  • 2011Tail order and intermediate tail dependence of multivariate copulas139 cited
  • 2010A robust iterative algorithm for structural reliability analysis126 cited
  • 2017Structural reliability analysis for p-boxes using multi-level meta-models110 cited
  • 2015A Vine-Copula-Based Reliability Analysis Method for Structures With Multidimensional Correlation98 cited
  • 2018Forward and inverse structural uncertainty propagations under stochastic variables with arbitrary probability distributions95 cited
  • 2013A non-probabilistic structural reliability analysis method based on a multidimensional parallelepiped convex model94 cited
  • 2020UQpy: A general purpose Python package and development environment for uncertainty quantification94 cited
  • 2012A new reliability analysis method for uncertain structures with random and interval variables93 cited
  • 2008Polynomial chaos for the approximation of uncertainties: Chances and limits89 cited
  • 2019A sampling-based method for high-dimensional time-variant reliability analysis87 cited