治癒設限資料在變係數線性轉換模型的研究
學年 102
學期 1
出版（發表）日期 2013-08-01
作品名稱 治癒設限資料在變係數線性轉換模型的研究
作品名稱（其他語言） Varying Coefficient Transformation Cure Models with Censored Data
著者 陳蔓樺
單位 淡江大學統計學系
描述 計畫編號：NSC102-2118-M032-004
 研究期間：201308~201407
 研究經費：580,000
委託單位 行政院國家科學委員會
摘要 一般所有存活分析中都是假設事件時間是易感受性，也就是假設每事件必然發生。 在臨床試驗中，這樣的假設對長期存活資料並不適當。在本計畫中，我們將針對事件未 必發生（不易感受性）及存在變係數問題研究探討，更進一步建立線性轉換治癒模型。我 們提出平滑曲面下的最大概似估計量，並證明其一致性與收斂性。期模擬研究結果能與 理論相對應。 Varying Coefficient Transformation Cure Models with Censored Data The phenomenon of disease may be completely eliminated, that is a significant fraction of patients can be cured; also, the phenomenon of covariates may be time-varying. The method considered in this present paper applies to covariates measured to time-varying covariates is also possible as long as the covariates are ancillary or external with transformation cure models. A maximum likelihood method with spline smoothing is proposed and the estimators, under some regularity conditions, are proved to be consistent and asymptotically normal. A simulation study is presented to show that the proposed method performs well with finite sample and is easy to use in practice.
關鍵字 Curve estimation; Maximum likelihood estimation; Spline smoothing; Cure Rate; Transformation Models 曲線估計; 最大概似估計法; 平滑曲面; 治癒模型
語言 zh_TW
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