A unified semi-empirical likelihood ratio confidence interval for treatment effects in the two sample problem with length-biased data

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	A unified semi-empirical likelihood ratio confidence interval for treatment effects in the two sample problem with length-biased data
	Li, Tao 1; Wu, Mengyun 1; Zhou, Yong1,2
	2018
发表期刊	STATISTICS AND ITS INTERFACE
ISSN	1938-7989
卷号	11 期号:3 页码:531-540
摘要	In two sample studies, the treatment effects that we are interested in may have different types, such as mean difference, the difference of probabilities, etc. In this work, we apply semi-parametric empirical likelihood principle to length biased data and derived a unified empirical likelihood ratio confidence interval for treatment effects. The empirical likelihood ratio is shown to be asymptotically distributed as chi-squared. Simulation studies show that the proposed confidence interval has a better performance compared with its counterpart which is based on normal approximation. The severe effect caused by ignoring the length bias is also illustrated by simulation. The proposed method is applied to Oscar data to study the effect of high socio-economic status on lifetime.
关键词	Empirical likelihood Estimating equation Treatment effect Censored data Length-biased
语种	英语
资助项目	State Key Program of NNSF of China[91546202] ; NNSF of China[61402276] ; State Key Program of NNNSF of China[71331006] ; State Key Program in the Major Research Plan of NNSF of China[91546202]
WOS研究方向	Mathematical & Computational Biology ; Mathematics
WOS类目	Mathematical & Computational Biology ; Mathematics, Interdisciplinary Applications
WOS记录号	WOS:000444723900014
出版者	INT PRESS BOSTON, INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/31216
专题	应用数学研究所
通讯作者	Li, Tao
作者单位	1.Shanghai Univ Finance & Econ, Sch Stat & Management, Shanghai 200433, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Li, Tao,Wu, Mengyun,Zhou, Yong. A unified semi-empirical likelihood ratio confidence interval for treatment effects in the two sample problem with length-biased data[J]. STATISTICS AND ITS INTERFACE,2018,11(3):531-540.
APA	Li, Tao,Wu, Mengyun,&Zhou, Yong.(2018).A unified semi-empirical likelihood ratio confidence interval for treatment effects in the two sample problem with length-biased data.STATISTICS AND ITS INTERFACE,11(3),531-540.
MLA	Li, Tao,et al."A unified semi-empirical likelihood ratio confidence interval for treatment effects in the two sample problem with length-biased data".STATISTICS AND ITS INTERFACE 11.3(2018):531-540.