Marker processes in survival analysis.
Marker processes in survival analysis.
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DOI：
10.1007/bf00128468
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发表时间：
1996-01-01
影响因子：
1.3
通讯作者：
Kalbfleisch, J D
中科院分区：
文献类型：
--
作者：
Jewell, N P;Kalbfleisch, J D
在许多疾病的发展过程中，通常存在相关变量，这些变量持续测量个体向疾病最终表达（失败）的进展。这些变量是随机过程，这里称为标记过程，并且在给定的时间点，它们可以提供关于当前危险的信息，随后提供关于剩余失效时间的信息。在这里，我们考虑一个简单的加性模型的风险函数之间的关系在时间t和历史的标记过程，直到时间t。我们开发了一些基于这个模型的基本计算。兴趣是集中在统计学上的应用标志物相关的生存分布的估计失败的时间，包括（i）使用标志物作为替代反应失败的删失数据，及（ii）使用标志物作为预测的时间流逝，因为发病的生存过程中流行的个人。特别注意的是针对潜在的收益所产生的效率使用标记过程的信息。
In the development of many diseases there are often associated variables which continuously measure the progress of an individual towards the final expression of the disease (failure). Such variables are stochastic processes, here called marker processes, and, at a given point in time, they may provide information about the current hazard and subsequently on the remaining time to failure. Here we consider a simple additive model for the relationship between the hazard function at time t and the history of the marker process up until time t. We develop some basic calculations based on this model. Interest is focused on statistical applications for markers related to estimation of the survival distribution of time to failure, including (i) the use of markers as surrogate responses for failure with censored data, and (ii) the use of markers as predictors of the time elapsed since onset of a survival process in prevalent individuals. Particular attention is directed to potential gains in efficiency incurred by using marker process information.