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

doi:10.1007/s10255-017-0645-6

	Analysis of Panel Count Data with Time-dependent Covariates and Informative Observation Process
	Fang, Sha 1; Zhang, Hai-xiang 2; Sun, Liu-quan 3; Wang, De-hui 4
刊名	ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES
	2017-02-01
卷号	33 期号:1 页码:147-156
关键词	estimating equation informative observation process joint modeling model checking panel count data
ISSN号	0168-9673
DOI	10.1007/s10255-017-0645-6
英文摘要	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.
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
语种	英语
出版者	SPRINGER HEIDELBERG
WOS记录号	WOS:000397252300015
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/25026]
专题	中国科学院数学与系统科学研究院
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.