带终止事件的特定治疗复发事件均值比例的半参估计

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带终止事件的特定治疗复发事件均值比例的半参估计马燕¹, 孙晓伟²1. 齐鲁师范学院数学学院, 济南 250013;
2. 北京交通大学理学院数学系, 北京 100044 Semiparametric Estimation of Ratios in Treatment-specific Recurrent Event Means with a Terminal Event MA Yan¹, SUN Xiaowei²1. Department of Mathematics, Qilu Normal University, Jinan 250013, China;
2. Department of Mathematics, School of Science, Beijing Jiaotong University, Beijing 100044, China

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摘要复发事件数据在生物医学研究中十分常见，而一个终止事件可能会阻止复发事件的进一步发生.在比较治疗效果的研究中，边际均值常常是人们感兴趣的指标，而且特定治疗事件的均值比例通常不会随着时间推移而保持不变.本文提出了一种半参数方法来比较特定治疗的复发事件均值，该方法结合了针对终止事件的比例风险率模型和针对条件复发事件率的乘性模型.在本文中，治疗效果由特定治疗的复发事件均值比例来衡量.我们给出了该比例的估计过程，并且证明了估计的渐近性质.最后我们通过数值模拟评估了文中所提估计的有限样本性质，并将所提方法应用于膀胱癌数据研究中，从而验证该方法的有效性.

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收稿日期: 2019-11-08

PACS:

O212.7

引用本文:

马燕, 孙晓伟. 带终止事件的特定治疗复发事件均值比例的半参估计[J]. 应用数学学报, 2020, 43(6): 949-965. MA Yan, SUN Xiaowei. Semiparametric Estimation of Ratios in Treatment-specific Recurrent Event Means with a Terminal Event. Acta Mathematicae Applicatae Sinica, 2020, 43(6): 949-965.

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