KMS Of Academy of mathematics and systems sciences, CAS
| Analysis of Panel Count Data with Time-dependent Covariates and Informative Observation Process | |
Fang, Sha1; Zhang, Hai-xiang2; Sun, Liu-quan3 ; Wang, De-hui4
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| 2017-02-01 | |
| Source Publication | ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES
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| ISSN | 0168-9673 |
| Volume | 33Issue:1Pages:147-156 |
| Abstract | Panel count data occur in many clinical and observational studies and in some situations the observation process is informative. In this article, we propose a new joint model for the analysis of panel count data with time-dependent covariates and possibly in the presence of informative observation process via two latent variables. For the inference on the proposed model, a class of estimating equations is developed and the resulting estimators are shown to be consistent and asymptotically normal. In addition, a lack-of-fit test is provided for assessing the adequacy of the model. The finite-sample behavior of the proposed methods is examined through Monte Carlo simulation studies which suggest that the proposed approach works well for practical situations. Also an illustrative example is provided. |
| Keyword | estimating equation informative observation process joint modeling model checking panel count data |
| DOI | 10.1007/s10255-017-0645-6 |
| Language | 英语 |
| Funding Project | National Natural Science Foundation of China[11671267] ; National Natural Science Foundation of China[11301212] ; National Natural Science Foundation of China[11401146] ; National Natural Science Foundation of China[11231010] ; National Natural Science Foundation of China[11171330] ; National Natural Science Foundation of China[11021161] ; National Natural Science Foundation of China[11271155] ; Capital University of Economics and Business[00591654490336] ; Key Laboratory of RCSDS, CAS[2008DP173182] ; Specialized Research Fund for the Doctoral Program of Higher Education (Natural Science Foundation)[20101596] |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied |
| WOS ID | WOS:000397252300015 |
| Publisher | SPRINGER HEIDELBERG |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/25027 |
| Collection | 应用数学研究所 |
| Corresponding Author | Zhang, Hai-xiang |
| Affiliation | 1.Capital Univ Econ & Business, Sch Stat, Beijing 100070, Peoples R China 2.Tianjin Univ, Ctr Appl Math, Tianjin 300072, Peoples R China 3.Chinese Acad Sci, Inst Appl Math, Beijing 100190, Peoples R China 4.Jilin Univ, Sch Math, Changchun 130012, Peoples R China |
| Recommended Citation GB/T 7714 | Fang, Sha,Zhang, Hai-xiang,Sun, Liu-quan,et al. Analysis of Panel Count Data with Time-dependent Covariates and Informative Observation Process[J]. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,2017,33(1):147-156. |
| APA | Fang, Sha,Zhang, Hai-xiang,Sun, Liu-quan,&Wang, De-hui.(2017).Analysis of Panel Count Data with Time-dependent Covariates and Informative Observation Process.ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,33(1),147-156. |
| MLA | Fang, Sha,et al."Analysis of Panel Count Data with Time-dependent Covariates and Informative Observation Process".ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES 33.1(2017):147-156. |
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