Reliability–sensitivity analysis using dimension reduction methods and saddlepoint approximations

[1]  Wei Chen,et al.  Analytical Variance-Based Global Sensitivity Analysis in Simulation-Based Design Under Uncertainty , 2005 .

[2]  Y.-T. Wu,et al.  Variable screening and ranking using sampling-based sensitivity measures , 2006, Reliab. Eng. Syst. Saf..

[3]  Robert H. Sues,et al.  System reliability and sensitivity factors via the MPPSS method , 2005 .

[4]  Eric Renshaw,et al.  An improved saddlepoint approximation. , 2007, Mathematical biosciences.

[5]  M. Rosenblatt Remarks on a Multivariate Transformation , 1952 .

[6]  Robert E. Melchers,et al.  A fast approximate method for parameter sensitivity estimation in Monte Carlo structural reliability , 2004 .

[7]  G. I. Schuëller,et al.  On the treatment of uncertainties in structural mechanics and analysis , 2007 .

[8]  Robert E. Melchers,et al.  Gradient and parameter sensitivity estimation for systems evaluated using Monte Carlo analysis , 2006, Reliab. Eng. Syst. Saf..

[9]  A. Kiureghian,et al.  Second-Order Reliability Approximations , 1987 .

[10]  B. Wen,et al.  Reliability sensitivity for rotor-stator systems with rubbing , 2003 .

[11]  Xiaoping Du,et al.  Reliability sensitivity analysis with random and interval variables , 2009 .

[12]  A. Kiureghian,et al.  Parameter sensitivity and importance measures in nonlinear finite element reliability analysis , 2005 .

[13]  Siu-Kui Au,et al.  Reliability-based design sensitivity by efficient simulation , 2005 .

[14]  Kyung K. Choi,et al.  Dimension reduction method for reliability-based robust design optimization , 2006 .

[15]  H. Daniels Saddlepoint Approximations in Statistics , 1954 .

[16]  G. Schuëller,et al.  Uncertainty analysis of complex structural systems , 2009 .

[17]  Xiaoping Du,et al.  Saddlepoint Approximation for Sequential Optimization and Reliability Analysis , 2008 .

[18]  Xiaoping Du,et al.  Uncertainty Analysis by Dimension Reduction Integration and Saddlepoint Approximations , 2005, DAC 2005.

[19]  S. Rahman,et al.  A univariate dimension-reduction method for multi-dimensional integration in stochastic mechanics , 2004 .

[20]  Reliability analysis using a 'Taylor expansion- expected value' saddlepoint approximation , 2011 .

[21]  Yan-Gang Zhao,et al.  Moment methods for structural reliability , 2001 .

[22]  S. Rahman,et al.  A generalized dimension‐reduction method for multidimensional integration in stochastic mechanics , 2004 .

[23]  Jon C. Helton,et al.  Survey of sampling-based methods for uncertainty and sensitivity analysis , 2006, Reliab. Eng. Syst. Saf..

[24]  Rajib Chowdhury,et al.  Enhanced high‐dimensional model representation for reliability analysis , 2009 .

[25]  S. Rahman Stochastic sensitivity analysis by dimensional decomposition and score functions , 2009 .

[26]  Subrata Chakraborty,et al.  Probabilistic safety analysis of structures under hybrid uncertainty , 2007 .

[27]  B. Youn,et al.  Reliability-based robust design optimization using the eigenvector dimension reduction (EDR) method , 2009 .

[28]  K. Choi,et al.  Sensitivity analyses of FORM‐based and DRM‐based performance measure approach (PMA) for reliability‐based design optimization (RBDO) , 2010 .

[29]  B. Youn,et al.  Eigenvector dimension reduction (EDR) method for sensitivity-free probability analysis , 2008 .

[30]  Zhenzhou Lu,et al.  Reliability sensitivity method by line sampling , 2008 .

[31]  Agus Sudjianto,et al.  Relative Entropy Based Method for Probabilistic Sensitivity Analysis in Engineering Design , 2006 .

[32]  C. Cornell,et al.  Sensitivity estimation within first and second order reliability methods , 1992 .

[33]  Shih-Yu Wang General saddlepoint approximations in the bootstrap , 1992 .

[34]  Xiaoping Du System reliability analysis with saddlepoint approximation , 2010 .

[35]  Junho Song,et al.  System reliability and sensitivity under statistical dependence by matrix-based system reliability method , 2009 .

[36]  Y.-T. Wu,et al.  COMPUTATIONAL METHODS FOR EFFICIENT STRUCTURAL RELIABILITY AND RELIABILITY SENSITIVITY ANALYSIS , 1993 .

[37]  Harry R. Millwater,et al.  Universal properties of kernel functions for probabilistic sensitivity analysis , 2009 .

[38]  G. Schuëller,et al.  Chair of Engineering Mechanics Ifm-publication 2-374 a Critical Appraisal of Reliability Estimation Procedures for High Dimensions , 2022 .

[39]  R. Haftka,et al.  Application of bootstrap method in conservative estimation of reliability with limited samples , 2010 .