KMS Of Academy of mathematics and systems sciences, CAS
| Goodness-of-fit tests for additive mean residual life model under right censoring | |
Zhang, Zhigang1; Zhao, Xingqiu2; Sun, Liuquan3
| |
| 2010-07-01 | |
| Source Publication | LIFETIME DATA ANALYSIS
 |
| ISSN | 1380-7870 |
| Volume | 16Issue:3Pages:385-408 |
| Abstract | 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. |
| Keyword | Additive mean residual life model Right-censored survival data Gaussian process Goodness-of-fit test |
| DOI | 10.1007/s10985-010-9152-2 |
| Language | 英语 |
| Funding Project | 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 Research Area | Mathematics |
| WOS Subject | Mathematics, Interdisciplinary Applications ; Statistics & Probability |
| WOS ID | WOS:000278581600006 |
| Publisher | SPRINGER |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/9261 |
| Collection | 应用数学研究所 |
| Corresponding Author | Zhang, Zhigang |
| Affiliation | 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 |
| Recommended Citation GB/T 7714 | 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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