KMS Of Academy of mathematics and systems sciences, CAS
An efficient risk estimator with external information under additive hazards model | |
Wang, Xin1; Xue, Xiao-ming2; Zhou, Jie3; Sun, Liu-quan2 | |
2018 | |
发表期刊 | ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES |
ISSN | 0168-9673 |
卷号 | 34期号:1页码:35-50 |
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. |
关键词 | absolute risk additive hazards model cause-specific hazard cohort data composite hazard rate external information |
DOI | 10.1007/s10255-018-0726-1 |
语种 | 英语 |
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 |
WOS类目 | Mathematics, Applied |
WOS记录号 | WOS:000427057400004 |
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/29795 |
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. |
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