治癒設限資料在變係數線性轉換模型的研究

淡江大學機構典藏 > 商管學院 > 統計學系暨研究所 > 研究報告 > Item 987654321/101281

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题名:	治癒設限資料在變係數線性轉換模型的研究
其它题名:	Varying Coefficient Transformation Cure Models with Censored Data
作者:	陳蔓樺
贡献者:	淡江大學統計學系
关键词:	曲線估計;最大概似估計法;平滑曲面;治癒模型 Curve estimation;Maximum likelihood estimation;Spline smoothing;Cure Rate;Transformation Models
日期:	2013-08
上传时间:	2015-04-21 13:53:58 (UTC+8)
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.
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