On semi-competing risks data

On semi-competing risks data
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DOI:
10.1093/biomet/88.4.907
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发表时间:
2001-12-01
期刊:
影响因子:
2.7
通讯作者:
Chappell, R
Chappell, R
中科院分区:
数学2区
文献类型:
--
作者:
Fine, JP;Jiang, H;Chappell, R

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我们考虑一个变化的竞争风险的问题,其中一个终端事件审查一个非终端事件,但不是反之亦然。事件的联合分布通过数据可观察的上部楔形中的伽马脆弱性模型来公式化(Day等人,1997年),与边际分布不明。关联参数的估计量是从一致性估计函数获得的。一种新的插件估计的非终端事件的边缘分布是一致一致的,弱收敛到高斯过程。对上楔外联合分布的假设比竞争风险分析中通常所做的假设要弱。仿真结果表明,该方法与实际的样本量工作良好。这些建议以白血病患者的发病率和死亡率数据为例。
We consider a variation of the competing risks problem in which a terminal event censors a non-terminal event, but not vice versa. The joint distribution of the events is formulated via a gamma frailty model in the upper wedge where data are observable (Day et al., 1997), with the marginal distributions unspecified. An estimator for the association parameter is obtained from a concordance estimating function. A novel plug-in estimator for the marginal distribution of the non-terminal event is shown to be uniformly consistent and to converge weakly to a Gaussian process. The assumptions on the joint distribution outside the upper wedge are weaker than those usually made in competing risks analyses. Simulations demonstrate that the methods work well with practical sample sizes. The proposals are illustrated with data on morbidity and mortality in leukaemia patients.