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基于右删失宽相依数据的Kaplan-Meier估计和风险率估计的渐近性质

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基于右删失宽相依数据的Kaplan-Meier估计和风险率估计的渐近性质 李永明1,2, 周勇31 上海财经大学统计与管理学院, 上海 200433;
2 上饶师范学院数学与计算机科学学院, 上饶 334001;
3 华东师范大学经济与管理学部, 上海 200062 Asymptotic Properties of the Kaplan-Meier Estimator and Hazard Rate Estimator for Right Censored and Widely Orthant Dependent Data LI Yongming1,2, ZHOU Yong31 School of Statistics and Management, Shanghai University of Finance and Economics, Shanghai, China 200433, China;
2 School of Mathematics and Computer Science, Shangrao Normal University, Shangrao 334001, China;
3 Faculty of Economics and management, East China Normal University, Shanghai 200062, China
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摘要本文在生存时间和删失时间均为宽相依数据下,建立了生存函数的Kaplan-Meier估计和风险率估计的强逼近和强表示,获得的强逼近和强表示误差项的收敛速度达到On-1/2 log1/2 n).所得结果推广了负相协和负超可加相依数据情形下的相关结果.
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收稿日期: 2018-10-16
PACS:O212.7
基金资助:国家自然科学基金项目(11461057,11561010),国家自然科学基金重点项目(71331006),国家自然科学重大研究计划重点项目(91546202)资助.

引用本文:
李永明, 周勇. 基于右删失宽相依数据的Kaplan-Meier估计和风险率估计的渐近性质[J]. 应用数学学报, 2019, 42(1): 71-84. LI Yongming, ZHOU Yong. Asymptotic Properties of the Kaplan-Meier Estimator and Hazard Rate Estimator for Right Censored and Widely Orthant Dependent Data. Acta Mathematicae Applicatae Sinica, 2019, 42(1): 71-84.
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