A mark-specific quantile regression model.

IF 2.4 2区 数学 Q2 BIOLOGY
Biometrika Pub Date : 2023-06-20 eCollection Date: 2024-03-01 DOI:10.1093/biomet/asad039
Lianqiang Qu, Liuquan Sun, Yanqing Sun
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引用次数: 0

Abstract

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.

特定于标记的分位数回归模型
分位数回归已成为分析竞争风险数据的一种广泛使用的工具。然而,具有连续标记的竞争风险数据的分位数回归仍然很少。标记变量是经典竞争风险模型中失败原因的扩展,其中失败原因被仅在未经审查的失败时间观察到的连续标记所取代。连续标记变量的一个例子是测量感染病毒和疫苗构建体中所含病毒之间差异的遗传距离。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了标记附近数据的强度,并基于诱导平滑估计方程,这与现有的用于具有离散原因的竞争风险数据的方法非常不同。结果估计量的渐近性质是在标记和分位数连续性上建立的。此外,还提出了一种标记特异性分位数型疫苗的有效性,并开发了其统计推断程序。进行了仿真研究,以评估所提出的估计和假设检验程序的有限样本性能。提供了第一个HIV疫苗疗效试验的应用。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Biometrika
Biometrika 生物-生物学
CiteScore
5.50
自引率
3.70%
发文量
56
审稿时长
6-12 weeks
期刊介绍: Biometrika is primarily a journal of statistics in which emphasis is placed on papers containing original theoretical contributions of direct or potential value in applications. From time to time, papers in bordering fields are also published.
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