病例-队列设计下长度偏差数据的比例均值剩余寿命模型的统计推断

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病例-队列设计下长度偏差数据的比例均值剩余寿命模型的统计推断徐达¹, 周勇^2,31. 上海财经大学统计与管理学院, 上海 200082;
2. 华东师范大学经管学部交叉科学研究院及统计学院, 上海 200241;
3. 中国科学院数学与系统科学研究院, 北京 100190 Proportional Mean Residual Life Model for Length-biased Data Under the Case-cohort Design XU Da¹, ZHOU Yong^2,31. School of Statistics and Management, Shanghai University of Finance and Economics, Shanghai 200433, China;
2. Institute of Statistics and Interdisciplinary Sciences and School of Staistics, Faculty of Economics and Management, East China Normal University, Shanghai 200241, China;
3. Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China

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摘要在大型队列研究中，病例-队列设计是一种可以有效节约成本的试验设计方法.本文研究了在病例-队列设计下，基于长度偏差数据的比例均值剩余寿命模型的统计推断问题，提出了一种带有时间相依权重的加权混合估计方程方法来估计模型中的回归系数，并证明了在适当条件下，所得到的估计量具有相合性与渐近正态性.模拟结果表明本文所提出的方法在有限样本下的表现不错.最后，我们将所提出的方法应用到了一组实际数据中.

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收稿日期: 2018-10-16

PACS:

O212.1

基金资助:国家自然科学基金委重点项目（71331006），国家自然科学重大研究计划重点项目（91546202）资助.

引用本文:

徐达, 周勇. 病例-队列设计下长度偏差数据的比例均值剩余寿命模型的统计推断[J]. 应用数学学报, 2019, 42(3): 318-333. XU Da, ZHOU Yong. Proportional Mean Residual Life Model for Length-biased Data Under the Case-cohort Design. Acta Mathematicae Applicatae Sinica, 2019, 42(3): 318-333.

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http://123.57.41.99/jweb_yysxxb/CN/或 http://123.57.41.99/jweb_yysxxb/CN/Y2019/V42/I3/318

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