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Goodness-of-fit tests for additive mean residual life model under right censoring
Zhang, Zhigang1; Zhao, Xingqiu2; Sun, Liuquan3
2010-07-01
发表期刊LIFETIME DATA ANALYSIS
ISSN1380-7870
卷号16期号:3页码:385-408
摘要The mean residual life (MRL) measures the remaining life expectancy and is useful in actuarial studies, biological experiments and clinical trials. To assess the covariate effect, an additive MRL regression model has been proposed in the literature. In this paper, we focus on the topic of model checking. Specifically, we develop two goodness-of-fit tests to test the additive MRL model assumption. We explore the large sample properties of the test statistics and show that both of them are based on asymptotic Gaussian processes so that resampling approaches can be applied to find the rejection regions. Simulation studies indicate that our methods work reasonably well for sample sizes ranging from 50 to 200. Two empirical data sets are analyzed to illustrate the approaches.
关键词Additive mean residual life model Right-censored survival data Gaussian process Goodness-of-fit test
DOI10.1007/s10985-010-9152-2
语种英语
资助项目National Cancer Institute Core[CA008748] ; Research Grants Council of Hong Kong ; National Natural Science Foundation of China[10731010] ; National Natural Science Foundation of China[10971015] ; National Natural Science Foundation of China[10721101] ; National Basic Research Program of China (973 Program)[2007CB814902]
WOS研究方向Mathematics
WOS类目Mathematics, Interdisciplinary Applications ; Statistics & Probability
WOS记录号WOS:000278581600006
出版者SPRINGER
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/9261
专题应用数学研究所
通讯作者Zhang, Zhigang
作者单位1.Mem Sloan Kettering Canc Ctr, Dept Epidemiol & Biostat, New York, NY 10065 USA
2.Hong Kong Polytech Univ, Dept Appl Math, Kowloon, Hong Kong, Peoples R China
3.Chinese Acad Sci, Inst Appl Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China
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Zhang, Zhigang,Zhao, Xingqiu,Sun, Liuquan. Goodness-of-fit tests for additive mean residual life model under right censoring[J]. LIFETIME DATA ANALYSIS,2010,16(3):385-408.
APA Zhang, Zhigang,Zhao, Xingqiu,&Sun, Liuquan.(2010).Goodness-of-fit tests for additive mean residual life model under right censoring.LIFETIME DATA ANALYSIS,16(3),385-408.
MLA Zhang, Zhigang,et al."Goodness-of-fit tests for additive mean residual life model under right censoring".LIFETIME DATA ANALYSIS 16.3(2010):385-408.
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