Nonparametric analysis of recurrent events and death
Nonparametric analysis of recurrent events and death
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DOI：
10.1111/j.0006-341x.2000.00554.x
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发表时间：
2000-06-01
期刊：
影响因子：
1.9
通讯作者：
Lin, DY
中科院分区：
文献类型：
--
作者：
Ghosh, D;Lin, DY
这篇文章关注的是在出现诸如死亡这样的终结性事件的情况下对重复性事件的分析。我们考虑平均频率函数。定义为一段时间内重复发生事件的累积数量的边际平均值。给出了这个量的一个简单的非参数估计。结果表明，该估计器具有较好的估计性能。适当地归一化，弱地收敛到具有容易估计的协方差函数的零均值高斯过程。还发展了用于比较两个平均频率函数以及用于合并复发事件和死亡的数据的非参数统计。得到了这些统计量的渐近零分布，以及相容的方差估计。通过仿真研究，验证了所提出的估计量和检验统计量的小样本性质。给出了该方法在癌症临床试验中的应用。
This article is concerned with the analysis of recurrent events in the presence of a terminal event such as death. We consider the mean frequency function. defined as the marginal mean of the cumulative number of recurrent events over time. A simple nonparametric estimator for this quantity is presented. It is shown that the estimator. properly normalized, converges weakly to a zero-mean Gaussian process with an easily estimable covariance function. Nonparametric statistics for comparing two mean frequency functions and for combining data on recurrent events and death are also developed. The asymptotic null distributions of these statistics, together with consistent variance estimators, are derived. The small-sample properties of the proposed estimators and test statistics are examined through simulation studies. An application to cancer clinical trial is provided.