Proportional Mean Residual Life Model with Varying Coefficients for Length-Biased and Right-Censored Data
文献类型：期刊论文
| 作者 | Xu, Da1,2; Zhou, Yong3,4
|
| 刊名 | ACTA MATHEMATICA SINICA-ENGLISH SERIES
 |
| 出版日期 | 2020-05-01 |
| 卷号 | 36期号:5页码:578-596 |
| 关键词 | Length-biased data proportional hazards model mean residual life varying-coefficient model |
| ISSN号 | 1439-8516 |
| DOI | 10.1007/s10114-020-8079-0 |
| 英文摘要 | Length-biased data are encountered in many fields, including economics, engineering and epidemiological cohort studies. There are two main challenges in the analysis of such data: the assumption of independent censoring is violated and the assumed model for the underlying population is no longer satisfied for the observed data. In this paper, a proportional mean residual life varying-coefficient model for length-biased data is considered and a local pseudo likelihood method is proposed for estimating the coefficient functions in the model. Asymptotic properties are investigated for the proposed estimators. The finite sample performance of the proposed methodology is demonstrated by simulation studies. Finally, the method is applied to a real data set concerning the Academy Awards. |
| 资助项目 | State Key Program of National Natural Science Foundation of China[71931004] ; State Key Program in the Major Research Plan of National Natural Science Foundation of China[91546202] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000529074400005 |
| 出版者 | SPRINGER HEIDELBERG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/51384]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Xu, Da |
| 作者单位 | 1.Northeast Normal Univ, Key Lab Appl Stat, MOE, Changchun 130024, Peoples R China 2.Northeast Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China 3.East China Normal Univ, Acad Stat & Interdisciplinary Sci, Key Lab Adv Theory & Applicat Stat & Data Sci, MOE, Shanghai 200062, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Xu, Da,Zhou, Yong. Proportional Mean Residual Life Model with Varying Coefficients for Length-Biased and Right-Censored Data[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2020,36(5):578-596. |
| APA | Xu, Da,&Zhou, Yong.(2020).Proportional Mean Residual Life Model with Varying Coefficients for Length-Biased and Right-Censored Data.ACTA MATHEMATICA SINICA-ENGLISH SERIES,36(5),578-596. |
| MLA | Xu, Da,et al."Proportional Mean Residual Life Model with Varying Coefficients for Length-Biased and Right-Censored Data".ACTA MATHEMATICA SINICA-ENGLISH SERIES 36.5(2020):578-596. |
入库方式： OAI收割
来源：数学与系统科学研究院
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