A unified semi-empirical likelihood ratio confidence interval for treatment effects in the two sample problem with length-biased data
文献类型：期刊论文
| 作者 | Li, Tao1; Wu, Mengyun1; Zhou, Yong1,2
|
| 刊名 | STATISTICS AND ITS INTERFACE
 |
| 出版日期 | 2018 |
| 卷号 | 11期号:3页码:531-540 |
| 关键词 | Empirical likelihood Estimating equation Treatment effect Censored data Length-biased |
| ISSN号 | 1938-7989 |
| 英文摘要 | 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. |
| 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 |
| 语种 | 英语 |
| WOS记录号 | WOS:000444723900014 |
| 出版者 | INT PRESS BOSTON, INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/31215]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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