Mean-Value Second-Order Saddlepoint Approximation for Reliability Analysis

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

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

[3]  Zhonglai Wang,et al.  Unified uncertainty analysis by the mean value first order saddlepoint approximation , 2012 .

[4]  Hong-Zhong Huang,et al.  Mean-value first-order saddlepoint approximation based collaborative optimization for multidisciplinary problems under aleatory uncertainty , 2014 .

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

[6]  Shuxiang Guo,et al.  An efficient third-moment saddlepoint approximation for probabilistic uncertainty analysis and reliability evaluation of structures , 2014 .

[7]  A. Sudjianto,et al.  First-order saddlepoint approximation for reliability analysis , 2004 .

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

[9]  Xiaoping Du,et al.  Probabilistic Sensitivity Analysis in Engineering Design Using Uniform Sampling and Saddlepoint Approximation , 2005 .

[10]  Ka-Veng Yuen,et al.  Application of saddlepoint approximation in reliability analysis of dynamic systems , 2007 .

[11]  Michael Griebel,et al.  Classification with sparse grids using simplicial basis functions , 2002, Intell. Data Anal..

[12]  C. Othmer.  A continuous adjoint formulation for the computation of topological and surface sensitivities of ducted flows , 2008 .

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

[14]  Zhenzhou Lu,et al.  Saddlepoint approximation based structural reliability analysis with non-normal random variables , 2010 .

[15]  A. M. Mathai,et al.  Quadratic forms in random variables : theory and applications , 1992 .

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

[17]  Hans-Joachim Bungartz,et al.  Multivariate Quadrature on Adaptive Sparse Grids , 2003, Computing.

[18]  Xiaoping Du.  Reliability-Based Design Using Saddlepoint Approximation , 2006, DAC 2006.

[19]  George Casella,et al.  Explaining the Saddlepoint Approximation , 1999 .

[20]  M. Hohenbichler,et al.  Improvement Of Second‐Order Reliability Estimates by Importance Sampling , 1988 .

[21]  Xiaoping Du,et al.  Probabilistic uncertainty analysis by mean-value first order Saddlepoint Approximation , 2008, Reliab. Eng. Syst. Saf..