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研究生:蔡承芳
研究生(外文):TSAI, CHENG-FANG
論文名稱(外文):Dependence Model Selection for Semi-competing Risks Data.
指導教授:謝進見
指導教授(外文):HSIEH, JIN-JIAN
口試委員:沈仲維潘宏裕
口試委員(外文):SHEN,CHUNG-WEIPAN,HUNG-YU
口試日期:2018-06-21
學位類別:碩士
校院名稱:國立中正大學
系所名稱:數學系統計科學研究所
學門:數學及統計學門
學類:統計學類
論文種類:學術論文
論文出版年:2018
畢業學年度:106
語文別:英文
論文頁數:26
中文關鍵詞:模型選取半競爭風險資料
外文關鍵詞:Model selectionSemi-competing risks data
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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 the
terminal event and the non-terminal event under semi-competing
risks data. We construct the likelihood function and use AIC formula to determine the fittable model. From simulation studies, it
shows the performance of the proposed approach is well. Finally,
we apply our method to a bone marrow transplant data set.
Contents
1 Introduction
2 Data and models
2.1 Semi-competing risks data
2.2 Copula models
3 Literature review
3.1 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 methods
5 Simulation studies
6 Application to a real data
7 Conclusion
[1]Fine, J. P., H. Jiang, and R. Chappell (2001). On semi-competing
risks 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. Discussion
paper 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 analysis
based on semicompeting risks data. Journal of the Royal Statistical
Society: Series B, 70, 3–20.
[5]Klein and Moeschberger (1997). Survival Analysis Techniques for
Censored and truncated data. New York: Springer.
[6]Lakhal, L., L.-P. Rivest, and B. Abdous (2008). Estimating survival
and 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 copula
models under dependent censoring. Journal of the Royal Statistical
Society: Series B, 65, 257–273.
[10]Zheng, M. and J. Klein (1995). Estimates of marginal survival
for dependent competing risks based on an assumed copula.
Biometrika, 82, 127–138.
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