KMS Of Academy of mathematics and systems sciences, CAS
A k-sample test with interval censored data | |
Yuen, Kam-Chuen; Shi, Jian; Zhu, Lixing | |
2006-06-01 | |
发表期刊 | BIOMETRIKA |
ISSN | 0006-3444 |
卷号 | 93期号:2页码:315-328 |
摘要 | The problem of testing for the equality of k distribution functions under Case 2 interval censoring is studied and a supremum-type test statistic is proposed based on the differences between the nonparametric maximum likelihood estimator and the so-called leveraged bootstrap estimator of the k underlying distributions. The proposed test is distributionfree and consistent against all alternatives. As the main results hold for a wide range of resampling sizes, a data-driven method is suggested for determining the size of each leveraged bootstrap sample. Another advantage of the test is that it can detect different distributions with equal means or heavy crossover. Simulation studies indicate that the test performs quite well with a moderate sample size. Finally, a slightly modified version of the test is applied to breast cosmesis data. |
关键词 | goodness of fit interval censoring iterative convex minorant algorithm leveraged bootstrap nonparametric maximum likelihood |
语种 | 英语 |
WOS研究方向 | Life Sciences & Biomedicine - Other Topics ; Mathematical & Computational Biology ; Mathematics |
WOS类目 | Biology ; Mathematical & Computational Biology ; Statistics & Probability |
WOS记录号 | WOS:000238760600007 |
出版者 | OXFORD UNIV PRESS |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/2400 |
专题 | 系统科学研究所 |
通讯作者 | Yuen, Kam-Chuen |
作者单位 | 1.Univ Hong Kong, Dept Stat & Actuarial Sci, Hong Kong, Hong Kong, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China 3.Hong Kong Baptist Univ, Dept Math, Hong Kong, Hong Kong, Peoples R China |
推荐引用方式 GB/T 7714 | Yuen, Kam-Chuen,Shi, Jian,Zhu, Lixing. A k-sample test with interval censored data[J]. BIOMETRIKA,2006,93(2):315-328. |
APA | Yuen, Kam-Chuen,Shi, Jian,&Zhu, Lixing.(2006).A k-sample test with interval censored data.BIOMETRIKA,93(2),315-328. |
MLA | Yuen, Kam-Chuen,et al."A k-sample test with interval censored data".BIOMETRIKA 93.2(2006):315-328. |
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