Time-dependent cross ratio estimation for bivariate failure times

Time-dependent cross ratio estimation for bivariate failure times
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DOI:
10.1093/biomet/asr005
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发表时间:
2011-06-01
期刊:
影响因子:
2.7
通讯作者:
Robins, James M.
Robins, James M.
中科院分区:
数学2区
文献类型:
--
作者:
Hu, Tianle;Nan, Bin;Robins, James M.

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在二元相关失效时间数据的分析中,度量相关失效时间之间的关联强度是一个重要的问题。一种常用的测量方法是交叉比。受考克斯的偏似然估计思想的启发,我们提出了一种新的参数交比估计,它是一个灵活的连续函数的两个组成部分的二元生存时间。我们证明了所提出的估计是一致的和渐近正态的。它的有限样本的性能进行了研究,使用模拟研究,它适用于澳大利亚的双胞胎数据。
In the analysis of bivariate correlated failure time data, it is important to measure the strength of association among the correlated failure times. One commonly used measure is the cross ratio. Motivated by Cox's partial likelihood idea, we propose a novel parametric cross ratio estimator that is a flexible continuous function of both components of the bivariate survival times. We show that the proposed estimator is consistent and asymptotically normal. Its finite sample performance is examined using simulation studies, and it is applied to the Australian twin data.