經驗貝氏方法對區間設限資料之迴歸半參數模型分析

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 987654321/54289

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题名:	經驗貝氏方法對區間設限資料之迴歸半參數模型分析
其它题名:	A Semiparametric Empirical Bayesian Regression Model for Interval Censored Data
作者:	陳蔓樺
贡献者:	淡江大學統計學系
关键词:	經驗貝氏估計;區間設限資料;半參數模型;Empirical Bayesian estimation;Interval-censoring;Semi-parametric model
日期:	2010
上传时间:	2011-07-05 23:34:40 (UTC+8)
摘要:	有關右設限事件時間資料大多數文獻已探討迴歸參數之先驗分佈的擇優問題以及由後驗分佈得到一些計算方法(例如: Sinha and Dey, 1997; Ibrahim et al., 2001; Kalbfleisch, 1978)。另一方面，針對區間設限資料僅少數研究提及(例如: Sinha et al., 1999; Hanson and Johnson, 2004)。 Chen et al. (2007) 、Tong et al. (2008) 和 Chen et al. (2009) 考慮區間設限資料之半參數迴歸分析，其中假設風險函數屬於線性函數空間。本計畫中，我們聚焦於藉由經驗貝氏方法來處理區間設限資料之未知基線風險函數。我們將藉由存活資料集的分析以及模擬的結果來說明我們所提出方法的優點。 A voluminous literature on right-censored failure time data has been discussed for selecting a prior distribution of regression parameters and obtaining some computational methods to sample from the posterior distribution (Sinha and Dey, 1997; Ibrahim et al., 2001; Kalbfleisch, 1978). On the other hand, for interval-censored data, there exists much less research due to the difficulties introduced by such censoring (Sinha et al., 1999; Hanson and Johnson, 2004). Chen et al. (2007) , Tong et al. (2008), Chen et al. (2009) considered semiparametric regression analysis of the interval-censored data assuming that the hazard function belongs to a linear function space. In this project, we focus at this unknown baseline hazard function by empirical Bayesian approaches for dealing interval-censored data. We are going to illustrate the advantages of our methodology with a reanalysis of a survival dataset and a simulation study.
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