000004551 001__ 4551
000004551 005__ 20141118192705.0
000004551 0177_ $$2doi$$a10.3850/978-981-07-2219-7_P291

000004551 0247_ $$210.3850/978-981-07-2219-7_P291
$$adoi
000004551 04107 $$aeng
000004551 046__ $$k2012-05-23
000004551 100__ $$aLi, Dian-Qing
000004551 24500 $$aStatistical Modeling of Joint Probability Distribution using Copula: Application to Probabilistic Pile Settlement Analysis

000004551 24630 $$n5.$$pProceedings of the 5th Asian-Pacific Symposium on Structural Reliability and its Applications
000004551 260__ $$bResearch Publishing, No:83 Genting Lane, #08-01, Genting Building, 349568 SINGAPORE
000004551 506__ $$arestricted
000004551 520__ $$2eng$$aA procedure for modelling the joint probability distribution of bivariate uncertain data with a nonlinear dependence structure is formulated in the copula theory framework. The dependence measures and copula theory are briefly introduced first. Thereafter, the measure of dependence is represented by the Kendall rank correlation coefficient. Then, the best-fit copula is identified by the Akaike information criterion. Finally, the load-test dataset of load-displacement curve of Augered Cast-In-Place (ACIP) piles is used to illustrate the proposed procedure. The results indicate that the proposed copula-based procedure can accurately model and simulate the bivariate probability distribution of two curve-fitting parameters associated with a hyperbolic load-displacement model. The Gaussian copula, often adopted out of expedience, may result in inaccurate modeling of the two hyperbolic curve-fitting parameters. The copula should be selected carefully to obtain realistic modeling of the joint probability distribution. The simulated load-displacement curves using the proposed procedure are found to be in good agreement with the measured results. A strong negative correlation and a nonlinear dependence between the two parameters can be observed. If such correlation is ignored, the scatter in the measured load-displacement curves cannot be simulated properly.

000004551 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000004551 653__ $$aBivariate distribution, Copula theory, Pearson correlation coefficient, Kendall rank correlation coefficient, Load-displacement curve, Piles.

000004551 7112_ $$a5th Asian-Pacific Symposium on Structural Reliability and its Applications$$cSingapore (SG)$$d2012-05-23 / 2012-05-25$$gAPSSRA2012
000004551 720__ $$aLi, Dian-Qing$$iTang, Xiao-Song$$iZhou, Chuang-Bing
000004551 8560_ $$ffischerc@itam.cas.cz
000004551 8564_ $$s187298$$uhttps://invenio.itam.cas.cz/record/4551/files/P291.pdf$$yOriginal version of the author's contribution as presented on CD, .
000004551 962__ $$r4180
000004551 980__ $$aPAPER