Nonparametric Estimation and Testing for Panel Count Data with Informative Terminal Event

IF 1.5 3区 数学 Q2 STATISTICS & PROBABILITY Statistica Sinica Pub Date : 2024-01-01 DOI:10.5705/ss.202021.0213
Xiangbin Hu, Li Liu, Ying Zhang, Xingqiu Zhao
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具有信息终端事件的面板计数数据的非参数估计和检验
信息性终末事件经常发生在长期复发事件随访研究中。为了明确反映此类事件对反复事件过程的影响,我们提出了面板计数数据的反向非参数平均模型,其中终端事件受到右审查。该模型对应用有意义的解释,对统计推断具有鲁棒性。将右截尾终端事件时间的分布作为一个累加函数参数,结合Kaplan-Meier估计和非参数筛估计技术,提出了一种两阶段估计方法。我们建立了所提出的非参数估计量的相合性、收敛率和渐近正态性,并构造了一类新的双样本检验统计量。我们还建立了新测试的渐近性质,并通过广泛的模拟研究评估了它们的性能。最后,我们将该方法应用于中国纵向健康寿命研究的面板计数数据来验证。1.中国统计:预印本doi:10.5705/ss.202021.0213
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来源期刊
Statistica Sinica
Statistica Sinica 数学-统计学与概率论
CiteScore
2.10
自引率
0.00%
发文量
82
审稿时长
10.5 months
期刊介绍: Statistica Sinica aims to meet the needs of statisticians in a rapidly changing world. It provides a forum for the publication of innovative work of high quality in all areas of statistics, including theory, methodology and applications. The journal encourages the development and principled use of statistical methodology that is relevant for society, science and technology.
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