臺灣博碩士論文加值系統

本篇論文研究的主題為半競爭風險資料之餘命分量迴歸分析。因為非終端事件會被終端事件相關設限，我們無法在沒有假設的情況下對非終端事件做推論。因此我們假設非終端事件與終端事件之間符合 Archimedean Copula 模型。然後我們利用反機率權重方法去建構餘命分量迴歸的參數估計方程式，但此方程式可能不連續，因此我們利用一般化求解法去克服。之後，由於變異數的估計是有困難的，因此我們利用 Bootstrap 的方法去估計。模擬實驗的結果顯示我們的方法表現的不錯。最後，我們將我們所提出的方法應用於骨髓移植資料。

This paper investigates the quantile residual life regression based on semi-competing risk data. Because the non-terminal event time is dependently censored by the terminal event time, we can't make inference on the non-terminal event time without extra assumption. Therefore, we assume that the non-terminal event time and the terminal event time follow an Archimedean copula. Then, we apply to the inverse probability weight technique to constructing an estimating equation of quantile residual life regression coefficients. But, the estimating equation may not be continuous in coefficients. Thus, we apply the generalized solution approach to overcoming this problem. Since the variance of the proposed estimator is too difficult to estimate, we use the bootstrap resampling method to estimate it. From the simulation studies, it shows that the performance of the proposed method is well. Finally, we analyze the Bone Marrow Transplant data for illustrations.

1.INTRODUCTION

2.DATA and MODELS
2.1Semi-Competing Risks Data
2.2Quantile Residual Life Regression Model
2.3Copula Model

3.LITERATURE REVIEW
3.1Regression on Quantile Residual Life (Jung, Jeong and Bandos, 2009)
3.2Estimating Survival and Association in a Semi-Competing Risks Model (Lakhal, Rivest and Abdous, 2008)

4.THE PROPOSED INFERENCE PROCEDURE

5.SIMULATION STUDIES

6.DATA ANALYSIS

7.CONCLUDING REMARKS

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