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 我們考慮半競爭風險資料下終端事件與非終端事件之間相關模型的選取問題，我們的方法首先構建了概似函數，並使用 AIC 公式作為選取相關模型的標準。從模擬實驗結果看來我們所提出的方法表現不錯。最後，我們將我們所提出的方法應用於骨髓移植資料上。
 We consider model selection problem of the dependency between theterminal event and the non-terminal event under semi-competingrisks data. We construct the likelihood function and use AIC formula to determine the fittable model. From simulation studies, itshows the performance of the proposed approach is well. Finally,we apply our method to a bone marrow transplant data set.
 Contents1 Introduction2 Data and models2.1 Semi-competing risks data2.2 Copula models3 Literature review3.1 Regression analysis based on semicompeting risks data(Hsieh et al., 2008)3.2 Estimating Survival and Association in a Semicompeting Risk Model (Lakhal et al., 2008)4 The proposed methods5 Simulation studies6 Application to a real data7 Conclusion
 [1]Fine, J. P., H. Jiang, and R. Chappell (2001). On semi-competingrisks data. Biometrika, 88, 907–919.[2]Genest, C. and J. MacKay (1986). The joy of copulas: Bivariate distributions with uniform marginals. The American Statistician, 40, 280–283.[3]Heuchenne, C., S. Laurent, C. Legrand, and I. Van Keilegom (2011).Likelihood based inference for semi-competing risks. Discussionpaper DP2011/22 of the Institute of Statistics. To appear in: Communications in Statistics - Simulations and Computations.[4]Hsieh, J.-J., W. Wang, and A. A. Ding (2008). Regression analysisbased on semicompeting risks data. Journal of the Royal StatisticalSociety: Series B, 70, 3–20.[5]Klein and Moeschberger (1997). Survival Analysis Techniques forCensored and truncated data. New York: Springer.[6]Lakhal, L., L.-P. Rivest, and B. Abdous (2008). Estimating survivaland association in a semicompeting risk model. Biometrics, 64,180–188.[7]Lin, D. Y. and Z. Ying (1993). A simple nonparametric estimator of the bivariate survival function under univariate censoring. Biometrika, 80, 573–582.[8]Oakes, D. (1989). Bivariate survival models induced by frailties. Journal of the American Statistical Association, 74, 487–493.[9]Wang, W. (2003). Estimating the association parameter for copulamodels under dependent censoring. Journal of the Royal StatisticalSociety: Series B, 65, 257–273.[10]Zheng, M. and J. Klein (1995). Estimates of marginal survivalfor dependent competing risks based on an assumed copula.Biometrika, 82, 127–138.
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