左截取及右設限存活資料之半參數分析

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題名:	左截取及右設限存活資料之半參數分析
其他題名:	Semiparametric Analysis of Survival Data with Left Truncation and Right Censoring
作者:	沈葆聖 Shen, Pao-Sheng
貢獻者:	行政院國家科學委員會東海大學統計系
關鍵詞:	Left truncation;Right censoring;Conditional Likelihood
日期:	2006
上傳時間:	2011-06-15T08:58:24Z (UTC)
摘要:	Let T, C and V* denote the lifetime, censoring and truncation variables, respectively. Assume that (C, V) is independent of T* and P(C>=V) = 1. Let F, Q and G denote the common distribution function of T, C and V, respectively. For left-truncated and right-censored (LTRC) data, one can observe nothing if T<V* and observe (X, .delta.), with X= min(T, C) and .delta. = I╱sub╱[T<=C], if T>=V. For LTRC data, the truncation productlimit estimate Fn is the maximum likelihood estimate (MLE) for nonparametric models. If the distribution of V* is parameterized as G(x; .theta.) and the distributions of T* and C* are left unspecified, the product-limit estimate Fn is not the MLE for this semiparametric model. For left-truncated data, Wang (1989) derived the MLE of F for the semiparametric model and established its weak convergence properties. In this note, for LTRC data, two semiparametric estimates, Fn(x; .theta.n) and Fu(x; .theta.), are proposed for the semiparametric model. A simulation study is conducted to compare the performances of the two semiparametric estimators against that of Fn(x).
關聯:	研究編號：NSC95-2118-M029-002 研究期間：2006-08 ~ 2007-07
顯示於類別:	[統計學系所] 國科會研究報告

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