| Summary: | 碩士 === 國立中正大學 === 數學系統計科學研究所 === 101 === In this thesis, we investigate the linear regression analysis on the non-terminal event for semi-competing risks data.
Because the non-terminal event time is dependently censored by the terminal event time, it is relatively difficult to estimate the linear regression coefficients.
We can not make inference on the non-terminal event time without extra assumptions.
Thus, we use the Archimedean copula assumptions to specify the dependence between the non-terminal event time and the terminal event time.
We use the mean imputation approach and the median imputation approach to impute the unknow non-terminal event time,
and then estimate the linear regression parameters by least square estimation method.
According to the simulation results, the mean imputation approach and the median imputation approach perform well.
Then, we use the mean imputation approach and the median imputation approach to analyze the Bone Marrow Transplant data.
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