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Balanced augmented jackknife empirical likelihood for two sample U-statistics
Cheng, Conghua1; Liu, Yiming2; Liu, Zhi3; Zhou, Wang4
2018-06
Source PublicationSCIENCE CHINA-MATHEMATICS
ISSN1674-7283
Volume61Issue:6Pages:1129-1138
Abstract

In this paper, we investigate the two sample U-statistics by jackknife empirical likelihood (JEL), a versatile nonparametric approach. More precisely, we propose the method of balanced augmented jackknife empirical likelihood (BAJEL) by adding two articial points to the original pseudo-value dataset, and we prove that the log likelihood ratio based on the expanded dataset tends to the chi(2) distribution.

KeywordJackknife Empirical Likelihood U-statistics Roc Curves Balanced Augmented Empirical Likelihood
DOI10.1007/s11425-016-9071-y
URLView the original
Indexed BySCIE
Language英語English
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000432333800010
PublisherSCIENCE PRESS
The Source to ArticleWOS
Scopus ID2-s2.0-85044457764
Fulltext Access
Citation statistics
Document TypeJournal article
CollectionDEPARTMENT OF MATHEMATICS
Affiliation1.Zhaoqing Univ, Sch Math & Stat, Zhaoqing 526061, Peoples R China
2.Nanyang Technol Univ, Sch Phys & Math Sci, Div Math Sci, Singapore 637371, Singapore
3.Univ Macau, Dept Math, Macau 999078, Peoples R China
4.Natl Univ Singapore, Dept Stat & Appl Probabil, Singapore 117546, Singapore
Recommended Citation
GB/T 7714
Cheng, Conghua,Liu, Yiming,Liu, Zhi,et al. Balanced augmented jackknife empirical likelihood for two sample U-statistics[J]. SCIENCE CHINA-MATHEMATICS, 2018, 61(6), 1129-1138.
APA Cheng, Conghua., Liu, Yiming., Liu, Zhi., & Zhou, Wang (2018). Balanced augmented jackknife empirical likelihood for two sample U-statistics. SCIENCE CHINA-MATHEMATICS, 61(6), 1129-1138.
MLA Cheng, Conghua,et al."Balanced augmented jackknife empirical likelihood for two sample U-statistics".SCIENCE CHINA-MATHEMATICS 61.6(2018):1129-1138.
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