摘要
随着医学的发展,某些无法治愈的疾病能够被治愈,并且在一段时间内不复发,从而导致在复发事件数据中出现治愈个体。本文针对复发事件数据基于含治愈个体的半参数比率模型提出一种经验似然方法,建立经验对数似然比函数,并证明Wilk’s定理。通过数值模拟将所提出的经验似然方法与正态逼近方法进行比较,得到在样本量较小时,所提出的经验似然方法解决了正态逼近方法覆盖率不足的问题。最后将本文方法应用于一组膀胱癌数据的分析,得到的结果与实际相符。
With the continuous development of medical science,recently some diseases that have been considered impossible to be cured before,are found to be possibly cured and will not recur after a certain period.This paper proposes an empirical likelihood method based on semiparametric rate model for recurrent event data with cure rate.An empirical likelihood ratio statistic is introduced for the regression parameters and the Wilk’s theorem is established.By comparing the proposed empirical likelihood method with normal approximation method when the sample size is small,simulation studies are given.Finally,this method is applied to a bladder cancer dataset.
作者
刘宇
周稳
李霓
LIU Yu;ZHOU Wen;LI Ni(School of Mathematics and Statistics,Hainan Normal University,Haikou Hainan 571158,China)
出处
《广西师范大学学报（自然科学版）》
CAS
北大核心
2022年第1期139-149,共11页
Journal of Guangxi Normal University:Natural Science Edition
基金
国家自然科学基金(11861030)
海南省自然科学基金高层次人才项目(2019RC176)。
