A k-sample test with interval censored data

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	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.