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A goodness-of-fit test for Archimedean copula models in the presence of right censoring
Authors:Takeshi Emura
Affiliation:Institute of Statistics, National Chiao-Tung University, Hsin-Chu, Taiwan, ROC
Abstract:A goodness-of-fit testing procedure for Archimedean copula (AC) models is developed based on right-censored data. The proposed approach extends an existing method, which is suitable for the Clayton model, to general AC models. Asymptotic properties of the proposed test statistics under the true model assumption are derived. Simulation analysis shows that the proposed test has reasonable performance. Finally, two real data examples are analyzed for illustrative purposes.
Keywords:Archimedean copulas  Bivariate failure times  Clayton model  Concordance estimator  Goodness of fit test  _method=retrieve&  _eid=1-s2  0-S0167947310001155&  _mathId=si74  gif&  _pii=S0167947310001155&  _issn=01679473&  _acct=C000069490&  _version=1&  _userid=6211566&  md5=423c421769963d030d389bc3e18b763f')" style="cursor:pointer  U-statistics" target="_blank">" alt="Click to view the MathML source" title="Click to view the MathML source">U-statistics
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