Reliability-sensitivity analysis using dimension reduction methods and saddlepoint approximations

DOI10.1002/nme.4412zbMath1352.74091OpenAlexW1957113944MaRDI QIDQ2952193

Xianzhen Huang, Yi-Min Zhang

Publication date: 30 December 2016

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.4412

zbMATH Keywords

saddlepoint approximationfailure probabilitydimension reduction methodreliability-sensitivity

Mathematics Subject Classification ID

Applications of statistics in engineering and industry; control charts (62P30) Random structure in solid mechanics (74E35) Reliability and life testing (62N05)

Related Items (7)

An improved high order moment-based saddlepoint approximation method for reliability analysis ⋮ Enhanced modified reliability index approach for efficient and robust reliability‐based design optimization ⋮ Forward and inverse structural uncertainty propagations under stochastic variables with arbitrary probability distributions ⋮ A hybrid conjugate finite-step length method for robust and efficient reliability analysis ⋮ A new direct second-order reliability analysis method ⋮ A new point estimation method for statistical moments based on dimension-reduction method and direct numerical integration ⋮ Novel algorithm for reconstruction of a distribution by fitting its first-four statistical moments

Cites Work

• Unnamed Item
• Eigenvector dimension reduction (EDR) method for sensitivity-free probability analysis
• Application of bootstrap method in conservative estimation of reliability with limited samples
• System reliability analysis with saddlepoint approximation
• Buckling analysis of cylindrical shells with cutouts including random boundary and geometric imperfections
• An improved saddlepoint approximation
• Reliability sensitivity analysis with random and interval variables
• Probabilistic safety analysis of structures under hybrid uncertainty
• Saddlepoint Approximations with Applications
• Enhanced high-dimensional model representation for reliability analysis
• Uncertainty analysis of complex structural systems
• Computational methods for efficient structural reliability and reliability sensitivity analysis
• Sensitivity analyses of FORM-based and DRM-based performance measure approach (PMA) for reliability-based design optimization (RBDO)
• A generalized dimension‐reduction method for multidimensional integration in stochastic mechanics
• Remarks on a Multivariate Transformation
• Saddlepoint Approximations in Statistics

This page was built for publication: Reliability-sensitivity analysis using dimension reduction methods and saddlepoint approximations