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

文献类型：期刊论文

作者Ding XiaoBo1,2; Xu XingZhong2; Zhao ShuRan3
刊名SCIENCE CHINA-MATHEMATICS
出版日期2010-10-01
卷号53期号:10页码:2665-2678
关键词exact coverage goodness of fit kernel smoothing simple confidence bands unbiasedness
ISSN号1674-7283
DOI10.1007/s11425-010-4034-3
英文摘要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
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
语种英语
WOS记录号WOS:000283671200008
出版者SCIENCE CHINA PRESS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/10581]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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