Analysis of Panel Count Data with Time-dependent Covariates and Informative Observation Process

doi:10.1007/s10255-017-0645-6

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	Analysis of Panel Count Data with Time-dependent Covariates and Informative Observation Process
	Fang, Sha 1; Zhang, Hai-xiang 2; Sun, Liu-quan3 ; Wang, De-hui 4
	2017-02-01
发表期刊	ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES
ISSN	0168-9673
卷号	33 期号:1 页码:147-156
摘要	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.
关键词	estimating equation informative observation process joint modeling model checking panel count data
DOI	10.1007/s10255-017-0645-6
语种	英语
资助项目	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研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000397252300015
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/25027
专题	应用数学研究所
通讯作者	Zhang, Hai-xiang
作者单位	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
推荐引用方式 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.