Analysis of complex system reliability with correlated random vectors

[1]  W. F. Kibble An extension of a theorem of Mehler's on Hermite polynomials , 1945, Mathematical Proceedings of the Cambridge Philosophical Society.

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

[3]  M. D. Mostafa,et al.  On the problem of estimation for the bivariate lognormal distribution , 1964 .

[4]  Joseph L. Hammond,et al.  Generation of Pseudorandom Numbers with Specified Univariate Distributions and Correlation Coefficients , 1975, IEEE Transactions on Systems, Man, and Cybernetics.

[5]  O. Ditlevsen Narrow Reliability Bounds for Structural Systems , 1979 .

[6]  Robert E. Melchers,et al.  Dominant failure modes in stochastic structural systems , 1984 .

[7]  A. Kiureghian,et al.  Multivariate distribution models with prescribed marginals and covariances , 1986 .

[8]  A. Kiureghian,et al.  STRUCTURAL RELIABILITY UNDER INCOMPLETE PROBABILITY INFORMATION , 1986 .

[9]  Feng Yuan-sheng A method for computing structural system reliability with high accuracy , 1989 .

[10]  Philip M. Lurie,et al.  An Approximate Method for Sampling Correlated Random Variables From Partially-Specified Distributions , 1998 .

[11]  Barry L. Nelson,et al.  Numerical Methods for Fitting and Simulating Autoregressive-to-Anything Processes , 1998, INFORMS J. Comput..

[12]  Yan-Gang Zhao,et al.  New Point Estimates for Probability Moments , 2000 .

[13]  Yao Ji Correlativity of random variables and structural reliability , 2000 .

[14]  Huifen Chen,et al.  Initialization for NORTA: Generation of Random Vectors with Specified Marginals and Correlations , 2001, INFORMS J. Comput..

[15]  Yan-Gang Zhao,et al.  SYSTEM RELIABILITY ASSESSMENT BY METHOD OF MOMENTS , 2003 .

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

[17]  Yan-Gang Zhao,et al.  Fourth-Moment Standardization for Structural Reliability Assessment , 2007 .

[18]  Jianbing Chen,et al.  The Number Theoretical Method in Response Analysis of Nonlinear Stochastic Structures , 2007 .

[19]  Jianbing Chen,et al.  Development-process-of-nonlinearity-based reliability evaluation of structures , 2007 .

[20]  Jianbing Chen,et al.  The equivalent extreme-value event and evaluation of the structural system reliability , 2007 .

[21]  Jianbing Chen,et al.  Strategy for selecting representative points via tangent spheres in the probability density evolution method , 2008 .

[22]  Xiukai Yuan,et al.  Nataf transformation based point estimate method , 2008 .

[23]  B. Abbasi,et al.  Generating correlation matrices for normal random vectors in NORTA algorithm using artificial neural networks , 2008 .

[24]  Dimitris Kugiumtzis,et al.  Normal correlation coefficient of non-normal variables using piece-wise linear approximation , 2010, Comput. Stat..

[25]  Jianbing Chen,et al.  Probability density evolution analysis of engineering structures via cubature points , 2012 .

[26]  Niavarani,et al.  Modeling and generating multi-variate-attribute random vectors using a new simulation method combined with NORTA algorithm , 2013 .

[27]  Qing Xiao Evaluating correlation coefficient for Nataf transformation , 2014 .