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Uncertainty analysis of correlated non-normal geotechnical parameters using Gaussian copula 被引量:10

Uncertainty analysis of correlated non-normal geotechnical parameters using Gaussian copula
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摘要 Determining the joint probability distribution of correlated non-normal geotechnical parameters based on incomplete statistical data is a challenging problem.This paper proposes a Gaussian copula-based method for modelling the joint probability distribution of bivariate uncertain data.First,the concepts of Pearson and Kendall correlation coefficients are presented,and the copula theory is briefly introduced.Thereafter,a Pearson method and a Kendall method are developed to determine the copula parameter underlying Gaussian copula.Second,these two methods are compared in computational efficiency,applicability,and capability of fitting data.Finally,four load-test datasets of load-displacement curves of piles are used to illustrate the proposed method.The results indicate that the proposed Gaussian copula-based method can not only characterize the correlation between geotechnical parameters,but also construct the joint probability distribution function of correlated non-normal geotechnical parameters in a more general way.It can serve as a general tool to construct the joint probability distribution of correlated geotechnical parameters based on incomplete data.The Gaussian copula using the Kendall method is superior to that using the Pearson method,which should be recommended for modelling and simulating the joint probability distribution of correlated geotechnical parameters.There exists a strong negative correlation between the two parameters underlying load-displacement curves.Neglecting such correlation will not capture the scatter in the measured load-displacement curves.These results substantially extend the application of the copula theory to multivariate simulation in geotechnical engineering.
出处 《Science China(Technological Sciences)》 SCIE EI CAS 2012年第11期3081-3089,共9页 中国科学(技术科学英文版)
基金 supported by the National Basic Research Program of China ("973" Program) (Grant No. 2011CB013506) the National Natural Science Foundation of China (Grant Nos. 51028901 and 50839004)
关键词 geotechnical parameters uncertainty analysis joint probability distribution function Gaussian copula Pearson corre-lation coefficient Kendall correlation coefficient load-displacement curve Copula 岩土参数 不确定性分析 高斯 联合概率分布 位移曲线 概率分布函数 a函数
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  • 1Huang B Q,,Du X P.Probabilistic uncertainty analysis by mean-value first order saddlepoint approximation. Reliab Eng Syst Safe . 2008
  • 2Gillespie C S,Renshaw E.An improved saddlepoint approximation. Mathematical Biosciences . 2007
  • 3Li H S.Research on probabilistic uncertainty analysis and design op- timization methods. . 2008
  • 4Zhao YG,Ono T.A general procedure for first/second-order reliability method (FORM/SORM). Structural Safety . 1999
  • 5Daniels HE.Saddlepoint approximations in statistics. The Annals of Mathematical Statistics . 1954
  • 6Liu P-L,Der Kiureghian A.Multivariate distribution models with prescribed marginals and covariances. Probabilitic Engineering Mechanics . 1986
  • 7Au S K,Beck J L.A new adaptive importance sampling scheme for reliability calculations. Structural Safety . 1999
  • 8Burlaga L F,Sittler E,Mariani F,et al.Magnetic loop behind an interplanetary shock. Chinese Journal of Geophysics . 1981
  • 9Pradlwarter,H. J.,Pellissetti,M. F.,Schenk,C. A.Realistic and efficient reliability estimation for aerospace structures. Computational Methods in Applied Mathematics . 2005
  • 10Ditlevsen O.Narrow Reliability Bounds For Structural System. Journal of Structural Mechanics . 1979

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