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Empirical likelihood hypothesis test on mean with inequality constraints

文献类型：期刊论文

作者Chen Li1,2; Shi Jian1
刊名SCIENCE CHINA-MATHEMATICS
出版日期2011-09-01
卷号54期号:9页码:1847-1857
关键词empirical likelihood hypothesis test inequality constraint chi-bar square least favorable point
ISSN号1674-7283
DOI10.1007/s11425-011-4274-x
英文摘要Hypothesis test on the population mean with various inequality constraints is studied in this paper. The empirical likelihood method is applied to construct test statistics. Limiting distributions of the empirical likelihood ratio test statistics are proven to be a weighted mixture of chi-square distributions. Numerical results are presented to show the validity of the proposed method.
资助项目National Nature Science Foundation of China[10731010] ; National Nature Science Fund for Creative Research Groups[10721101] ; Key Fund of Yunnan Province[2010CC003]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000294223000003
出版者SCIENCE PRESS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/11451]  
专题系统科学研究所
通讯作者Shi Jian
作者单位1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
2.Yunnan Univ, Sch Math & Stat, Kunming 650091, Peoples R China
推荐引用方式
GB/T 7714		 Chen Li,Shi Jian. Empirical likelihood hypothesis test on mean with inequality constraints[J]. SCIENCE CHINA-MATHEMATICS,2011,54(9):1847-1857.
APA Chen Li,&Shi Jian.(2011).Empirical likelihood hypothesis test on mean with inequality constraints.SCIENCE CHINA-MATHEMATICS,54(9),1847-1857.
MLA Chen Li,et al."Empirical likelihood hypothesis test on mean with inequality constraints".SCIENCE CHINA-MATHEMATICS 54.9(2011):1847-1857.

入库方式： OAI收割

来源：数学与系统科学研究院

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