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Investigation of polynomial normal transform
6 references·11 citing·32 second hop
Investigation of polynomial normal transform (2003)Investigation of polynomial normal transf…Third-Moment Standardization for Structural Reliability Analysis (2000)Third-Moment Standardization …Directional methods for structural reliability analysis (2000)Directional methods for struc…Probabilistic Structural Mechanics Handbook: Theory and Industrial Applications (1995)Probabilistic Structural Mech…First-order third-moment reliability method (1994)First-order third-moment reli…Simulating Multivariate Nonnormal Distributions (1983)Simulating Multivariate Nonno…Non-Normal Dependent Vectors in Structural Safety (1981)Non-Normal Dependent Vectors …Reliability analysis with correlated random variables based on a novel transformation, adaptive dimension-reduction and maximum entropy method (2022)Reliability analysis with cor…Hermite polynomial normal transformation for structural reliability analysis (2021)Hermite polynomial normal tra…An adaptive polynomial skewed-normal transformation model for distribution reconstruction and reliability evaluation with rare events (2021)An adaptive polynomial skewed…Acceptance sampling inspection plan for the Lindley and power Lindley distributed quality characteristics (2021)Acceptance sampling inspectio…Monotonic Expression of Polynomial Normal Transformation Based on the First Four L-Moments (2020)Monotonic Expression of Polyn…Normalization of correlated random variables in structural reliability analysis using fourth-moment transformation (2019)Normalization of correlated r…Structural Reliability Analysis Including Correlated Random Variables Based on Third-Moment Transformation (2017)Structural Reliability Analys…Complete monotonic expression of the fourth-moment normal transformation for structural reliability (2017)Complete monotonic expression…Improved probabilistic point estimation schemes for uncertainty analysis (2008)Improved probabilistic point …Application of maximum entropy principle for reliability-based design optimization (2008)Application of maximum entrop…First passage times of stationary non-Gaussian structural responses (2006)First passage times of statio…Exact and Invariant Second-Moment Code Format (1974)Probability Concepts in Engineering Planning and Design (1975)Methods of structural safety (2006)Extended Monte Carlo Simulation for Parametric Global Sensitivity Analysis and Optimization (2014)Structural reliability under combined random load sequences (1978)Moment methods for structural reliability (2001)A Quantile-Based SORA Method Using Maximum Entropy Method With Fractional Moments (2020)A novel maximum entropy method based on the B-spline theory and the low-discrepancy sequence for complex probability distribution reconstruction (2023)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)Structural Reliability Methods (1996)Structural reliability software and calculation tools: a review (2020)Small failure probability: principles, progress and perspectives (2022)Statistical Size Distributions in Economics and Actuarial Sciences (2003)Maximum entropy distribution with fractional moments for reliability analysis (2019)Unified Hermite Polynomial Model and Its Application in Estimating Non-Gaussian Processes (2019)Structural Reliability Analysis and Prediction (2017)Probabilistic method for time-varying reliability analysis of structure via variational bayesian neural network (2021)Adaptive subset simulation for time-dependent small failure probability incorporating first failure time and single-loop surrogate model (2023)First-order concepts in system reliability (1982)Second‐Order Reliability Approximations (1987)The stochastic finite element method in structural reliability (1988)A Heuristic for Moment-Matching Scenario Generation (2003)Detecting Mixtures From Structural Model Differences Using Latent Variable Mixture Modeling: A Comparison of Relative Model Fit Statistics (2007)Self-concept and academic achievement: A meta-analysis of longitudinal relations (2011)POINT-ESTIMATE MOMENT-BASED RELIABILITY ANALYSIS (1996)A hierarchical genetic algorithm for reliability based design of geometrically non-linear composite structures (2001)DYNAMIC STIFFNESS METHOD FOR CIRCULAR STOCHASTIC TIMOSHENKO BEAMS: RESPONSE VARIABILITY AND RELIABILITY ANALYSES (2002)Global sensitivity analysis through polynomial chaos expansion of a basin-scale geochemical compaction model (2012)An active learning method using deep adversarial autoencoder-based sufficient dimension reduction neural network for high-dimensional reliability analysis (2024)
this work references cited by second hop

References

  • 1981Non-Normal Dependent Vectors in Structural Safety577 cited
  • 1983Simulating Multivariate Nonnormal Distributions447 cited
  • 2000Directional methods for structural reliability analysis278 cited
  • 1994First-order third-moment reliability method92 cited
  • 2000Third-Moment Standardization for Structural Reliability Analysis91 cited
  • 1995Probabilistic Structural Mechanics Handbook: Theory and Industrial Applications89 cited

Cited by

  • 2017Complete monotonic expression of the fourth-moment normal transformation for structural reliability71 cited
  • 2017Structural Reliability Analysis Including Correlated Random Variables Based on Third-Moment Transformation47 cited
  • 2019Normalization of correlated random variables in structural reliability analysis using fourth-moment transformation46 cited
  • 2008Application of maximum entropy principle for reliability-based design optimization38 cited
  • 2020Monotonic Expression of Polynomial Normal Transformation Based on the First Four L-Moments28 cited
  • 2022Reliability analysis with correlated random variables based on a novel transformation, adaptive dimension-reduction and maximum entropy method21 cited
  • 2006First passage times of stationary non-Gaussian structural responses21 cited
  • 2021Hermite polynomial normal transformation for structural reliability analysis

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15 cited
  • 2008Improved probabilistic point estimation schemes for uncertainty analysis14 cited
  • 2021Acceptance sampling inspection plan for the Lindley and power Lindley distributed quality characteristics13 cited
  • 2021An adaptive polynomial skewed-normal transformation model for distribution reconstruction and reliability evaluation with rare events10 cited