KMS Of Academy of mathematics and systems sciences, CAS
| Proportional Mean Residual Life Model with Varying Coefficients for Length-Biased and Right-Censored Data | |
Xu, Da1,2; Zhou, Yong3,4
| |
| 2020-05-01 | |
| Source Publication | ACTA MATHEMATICA SINICA-ENGLISH SERIES
 |
| ISSN | 1439-8516 |
| Volume | 36Issue:5Pages:578-596 |
| Abstract | 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. |
| Keyword | Length-biased data proportional hazards model mean residual life varying-coefficient model |
| DOI | 10.1007/s10114-020-8079-0 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | 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 Research Area | Mathematics |
| WOS Subject | Mathematics, Applied ; Mathematics |
| WOS ID | WOS:000529074400005 |
| Publisher | SPRINGER HEIDELBERG |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/51385 |
| Collection | 应用数学研究所 |
| Corresponding Author | Xu, Da |
| Affiliation | 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 |
| Recommended Citation 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. |
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