Composite Estimating Equation Method for the Accelerated Failure Time Model with Length-biased Sampling Data
文献类型：期刊论文
| 作者 | Qiu, Zhiping1,2; Qin, Jing3; Zhou, Yong4
|
| 刊名 | SCANDINAVIAN JOURNAL OF STATISTICS
 |
| 出版日期 | 2016-06-01 |
| 卷号 | 43期号:2页码:396-415 |
| 关键词 | accelerated failure time model composite estimating equation kernel smoothing length-biased sampling data rank estimator |
| ISSN号 | 0303-6898 |
| DOI | 10.1111/sjos.12182 |
| 英文摘要 | Length-biased sampling data are often encountered in the studies of economics, industrial reliability, epidemiology, genetics and cancer screening. The complication of this type of data is due to the fact that the observed lifetimes suffer from left truncation and right censoring, where the left truncation variable has a uniform distribution. In the Cox proportional hazards model, Huang & Qin (Journal of the American Statistical Association, 107, 2012, p. 107) proposed a composite partial likelihood method which not only has the simplicity of the popular partial likelihood estimator, but also can be easily performed by the standard statistical software. The accelerated failure time model has become a useful alternative to the Cox proportional hazards model. In this paper, by using the composite partial likelihood technique, we study this model with length-biased sampling data. The proposed method has a very simple form and is robust when the assumption that the censoring time is independent of the covariate is violated. To ease the difficulty of calculations when solving the non-smooth estimating equation, we use a kernel smoothed estimation method (Heller; Journal of the American Statistical Association, 102, 2007, p. 552). Large sample results and a re-sampling method for the variance estimation are discussed. Some simulation studies are conducted to compare the performance of the proposed method with other existing methods. A real data set is used for illustration. |
| 资助项目 | National Natural Science Foundation of China (NSFC)[71271128] ; National Natural Science Foundation of China[71331006] ; NCMIS, Key Laboratory of RCSDS, AMSS, CAS[2008DP173182] ; Shanghai First-class Discipline A ; IRTSHUFE, PCSIRT[IRT13077] ; Natural Science Foundation of Fujian Province, China[2015J01583] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000382553500011 |
| 出版者 | WILEY-BLACKWELL |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/23498]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Zhou, Yong |
| 作者单位 | 1.Huaqiao Univ, Sch Math Sci, Quanzhou, Peoples R China 2.Shanghai Univ Finance & Econ, Sch Stat & Management, Shanghai, Peoples R China 3.NIAID, Biostat Res Branch, Bethesda, MD USA 4.Chinese Acad Sci, Inst Appl Math, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Qiu, Zhiping,Qin, Jing,Zhou, Yong. Composite Estimating Equation Method for the Accelerated Failure Time Model with Length-biased Sampling Data[J]. SCANDINAVIAN JOURNAL OF STATISTICS,2016,43(2):396-415. |
| APA | Qiu, Zhiping,Qin, Jing,&Zhou, Yong.(2016).Composite Estimating Equation Method for the Accelerated Failure Time Model with Length-biased Sampling Data.SCANDINAVIAN JOURNAL OF STATISTICS,43(2),396-415. |
| MLA | Qiu, Zhiping,et al."Composite Estimating Equation Method for the Accelerated Failure Time Model with Length-biased Sampling Data".SCANDINAVIAN JOURNAL OF STATISTICS 43.2(2016):396-415. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。