An efficient risk estimator with external information under additive hazards model

doi:10.1007/s10255-018-0726-1

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 应用数学研究所

	An efficient risk estimator with external information under additive hazards model
	Wang, Xin 1; Xue, Xiao-ming 2; Zhou, Jie 3; Sun, Liu-quan2
刊名	ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES
	2018
卷号	34 期号:1 页码:35-50
关键词	absolute risk additive hazards model cause-specific hazard cohort data composite hazard rate external information
ISSN号	0168-9673
DOI	10.1007/s10255-018-0726-1
英文摘要	Rare event data is encountered when the events of interest occur with low frequency, and the estimators based on the cohort data only may be inefficient. However, when external information is available for the estimation, the estimators utilizing external information can be more efficient. In this paper, we propose a method to incorporate external information into the estimation of the baseline hazard function and improve efficiency for estimating the absolute risk under the additive hazards model. The resulting estimators are shown to be uniformly consistent and converge weakly to Gaussian processes. Simulation studies demonstrate that the proposed method is much more efficient. An application to a bone marrow transplant data set is provided.
资助项目	Key Laboratory of RCSDS, CAS[2008DP173182] ; Beijing Information Science & Technology University ; Qin Xin Talents Cultivation Program[QXTCP B201705] ; National Natural Science Foundation of China[11301355] ; National Natural Science Foundation of China[11771431] ; National Natural Science Foundation of China[71501016] ; National Natural Science Foundation of China[11690015] ; National Natural Science Foundation of China[11671275]
WOS研究方向	Mathematics
语种	英语
出版者	SPRINGER HEIDELBERG
WOS记录号	WOS:000427057400004
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/29794]
专题	应用数学研究所
通讯作者	Sun, Liu-quan
作者单位	1.Beijing Informat Sci & Technol Univ, Sch Sci, Beijing 100192, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China
推荐引用方式 GB/T 7714	Wang, Xin,Xue, Xiao-ming,Zhou, Jie,et al. An efficient risk estimator with external information under additive hazards model[J]. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,2018,34(1):35-50.
APA	Wang, Xin,Xue, Xiao-ming,Zhou, Jie,&Sun, Liu-quan.(2018).An efficient risk estimator with external information under additive hazards model.ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,34(1),35-50.
MLA	Wang, Xin,et al."An efficient risk estimator with external information under additive hazards model".ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES 34.1(2018):35-50.