On exactness and unbiasedness of confidence bands for a continuous distribution function

doi:10.1007/s11425-010-4034-3

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	On exactness and unbiasedness of confidence bands for a continuous distribution function
	Ding XiaoBo 1,2; Xu XingZhong 2; Zhao ShuRan 3
	2010-10-01
发表期刊	SCIENCE CHINA-MATHEMATICS
ISSN	1674-7283
卷号	53 期号:10 页码:2665-2678
摘要	We define a class of confidence bands for distribution functions, named simple confidence bands The class of hands includes the common step bands and continuous bands, some of which may perform better than the smoothed bands not belonging to the class, e.g., the kernel smoothed bands It is shown that under some mild assumptions, the simple bands with exact coverage for continuous distribution functions are all step bands The unbiasedness problem of the step bands is also investigated It is proved that most of two-sided step bands are biased and one-sided step bands are unbiased
关键词	exact coverage goodness of fit kernel smoothing simple confidence bands unbiasedness
DOI	10.1007/s11425-010-4034-3
语种	英语
资助项目	National Science Foundation for Post-doctoral Scientists of China[20090450603] ; National Natural Science Foundation of China[10771015]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000283671200008
出版者	SCIENCE CHINA 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/10582
专题	中国科学院数学与系统科学研究院
通讯作者	Ding XiaoBo
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100190, Peoples R China 2.Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China 3.Ocean Univ China, Sch Econ, Qingdao 266071, Peoples R China
推荐引用方式 GB/T 7714	Ding XiaoBo,Xu XingZhong,Zhao ShuRan. On exactness and unbiasedness of confidence bands for a continuous distribution function[J]. SCIENCE CHINA-MATHEMATICS,2010,53(10):2665-2678.
APA	Ding XiaoBo,Xu XingZhong,&Zhao ShuRan.(2010).On exactness and unbiasedness of confidence bands for a continuous distribution function.SCIENCE CHINA-MATHEMATICS,53(10),2665-2678.
MLA	Ding XiaoBo,et al."On exactness and unbiasedness of confidence bands for a continuous distribution function".SCIENCE CHINA-MATHEMATICS 53.10(2010):2665-2678.