A mark-specific quantile regression model
A mark-specific quantile regression model
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DOI：
10.1093/biomet/asad039
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发表时间：
2023-07-31
期刊：
影响因子：
2.7
通讯作者：
Sun，Yanqing
中科院分区：
文献类型：
--
作者：
Qu，Lianqiang;Sun，Liuquan;Sun，Yanqing
分位数回归已成为分析竞争性风险数据的一种广泛使用的工具。然而，分位数回归的竞争风险数据与连续的标志仍然是稀缺的。在经典的竞争风险模型中，失效原因被替换为仅在未删失失效时间观察到的连续标记，标记变量是失效原因的扩展。连续标记变量的一个例子是遗传距离，其测量感染病毒和疫苗构建体中包含的病毒之间的相异性。在这篇文章中，我们提出了一个新的标记特定的分位数回归模型。所提出的估计方法借用强度从附近的一个标记的数据，是基于一个诱导平滑估计方程，这是非常不同的现有方法的竞争风险数据与离散的原因。所得到的估计量的渐近性质，建立跨马克和分位数连续。此外，提出了一种标记特异性分位数型疫苗效力，并开发了其统计推断程序。模拟研究进行评估有限样本性能的估计和假设检验程序。提供了对第一个HIV疫苗效力试验的应用。
Quantile regression has become a widely used tool for analysing competing risk data. However, quantile regression for competing risk data with a continuous mark is still scarce. The mark variable is an extension of cause of failure in a classical competing risk model where cause of failure is replaced by a continuous mark only observed at uncensored failure times. An example of the continuous mark variable is the genetic distance that measures dissimilarity between the infecting virus and the virus contained in the vaccine construct. In this article, we propose a novel mark-specific quantile regression model. The proposed estimation method borrows strength from data in a neighbourhood of a mark and is based on an induced smoothed estimation equation, which is very different from the existing methods for competing risk data with discrete causes. The asymptotic properties of the resulting estimators are established across mark and quantile continuums. In addition, a mark-specific quantile-type vaccine efficacy is proposed and its statistical inference procedures are developed. Simulation studies are conducted to evaluate the finite sample performances of the proposed estimation and hypothesis testing procedures. An application to the first HIV vaccine efficacy trial is provided.