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A Two Sample Test based on U-statistic for Functional Data: 《Acta Mathematica Sinica,English Series》2023年第3期533-552,共20页Wen Juan HU Liang WANG Bao Xue ZHANG Guo Chang WANG; Supported by the National Natural Science Foundation of China(Grant Nos.11671268 and 12271370);the Guangdong Basic and Applied Basic Research Foundation(Grant No.2020A1515010821);the Fundamental Research Funds for the Central Universities(Grant No.12619624);Supported by the Research Start-up Fund for new young Teachers of Capital University of Economics and Business(Grant No.00592254417068)。; We propose a two-sample test for the mean functions of functional data when the number of bases is much lager than the sample size.The novel test is based on U-statistics which avoids estimating the covariance operato...; 关键词：Mean test functional data U-STATISTICS two sample

Test for Homogeneity of Odds Ratios Using <i>U</i>-Statistics: 《Open Journal of Statistics》2019年第3期347-360,共14页Qi Wei Dejian Lai; There are a few statistics testing the homogeneity of odds ratios across strata. Asymptotic statistics lose their power in the “sparse-data” setting. Both asymptotic statistics and exact tests have low power when th...; 关键词：HOMOGENEITY TEST Odds Ratio U-STATISTICS

Balanced augmented jackknife empirical likelihood for two sample U-statistics: 《Science China Mathematics》2018年第6期1129-1138,共10页Conghua Cheng Yiming Liu Zhi Liu Wang Zhou; supported by the Natural Science Foundation of Guangdong Province(Grant No.2016A030307019);the Higher Education Colleges and Universities Innovation Strong School Project of Guangdong Province(Grant No.2016KTSCX153);Science and Technology Development Fund of Macao(Grant No.127/2016/A3);National Natural Science Foundation of China(Grant No.11401607);a grant at the National University of Singapore(Grant No.R-155-000-181-114); 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 like...; 关键词：jackknife empirical likelihood U-STATISTICS ROC curves balanced augmented empirical likelihood

A Remark on Strong Law of Large Numbers for Weighted U-Statistics: 《Acta Mathematica Sinica,English Series》2014年第9期1595-1605,共11页Hyung-Tae HA Mei Ling HUANG; The first author is supported by Basic Science Research Program through the National Research Foundationof Korea funded by the Ministry of Education,Science,and Technology(Grant No.2011-0013791);the secondauthor is partially supported by a grant from the Natural Sciences and Engineering Research Council of Canada;the third author is partially supported by a grant from the Natural Sciences and Engineering Research Councilof Canada; Let （X, Xn; n≥ 1} be a sequence of i.i.d, random variables with values in a measurable space （S,8） such that E｜h（X1, X2,..., Xm）｜〈 ∞, where h is a measurable symmetric function from Sm into R = （-∞, ∞）....; 关键词：Strong law of large numbers weighted U-statistics complete convergence

Non-uniform Berry–Esseen Bounds forWeighted U-Statistics and Generalized L-Statistics: 《Communications in Mathematics and Statistics》2013年第3期351-367,共17页Haojun Hu Qi-Man Shao; The research of Q.-M.Shao is partly supported by Hong Kong RGC GRF 603710,2130344.; Weighted U-statistics and generalized L-statistics are commonly used in statistical inference and their asymptotic properties have been well developed.In this paper sharp non-uniform Berry–Esseen bounds for weighted ...; 关键词：Weighted U-statistics Generalized L-statistic L-statistic U-statistic·Non-uniform Berry-Esseen bound Normal approximation

A Note on the ASCLT for Triangular Arrays of Random Variables with an Extension to U-statistics: 《Acta Mathematica Sinica,English Series》2012年第9期1907-1916,共10页Yong ZHANG Xiao Yun YANG; Supported by National Natural Science Foundation of China (Grant Nos. 10971081 and 11101180);Basic Research Foundation of Jilin University (Grant Nos. 201001002 and 201103204); In this paper, we obtain an almost sure central limit theorem for products of independent sums of positive random variables. An extension of the result gives an ASCLT for the U-statistics.; 关键词：Almost sure central limit theorem triangular arrays products of sums U-STATISTICS

Asymptotic Analysis for U-Statistics and Its Application to Von Mises Statistics: 《Open Journal of Statistics》2011年第3期139-144,共6页Timur Zubayraev; Let - be i.i.d. random variables taking values in a measurable space ( Χ, B ). Let φ1: Χ →□ and φ: Χ2→□ be measurable functions. Assume that φ is symmetric, i.e. φ(x,y)=φ(y.x), for any x,y∈Χ . Consider U...; 关键词：U-STATISTICS Von MISES STATISTICS SYMMETRIC STATISTICS

Asymptotic distributions of non-central studentized statistics: 《Science China Mathematics》2009年第6期1262-1284,共23页SHAO QiMan ZHANG RongMao; supported in part by Hong Kong UST (Grant No. DAG05/06.SC);Hong Kong RGC CERG(Grant No. 602206);supported by National Natural Science Foundation (Grant No.10801118);the PhD Programs Foundation of the Ministry of Education of China (Grant No. 200803351094); Let X 1, ..., X n be independent and identically distributed random variables and W n = W n (X 1, ..., X n ) be an estimator of parameter ?. Denote T n = (W n ? ? 0)/s n , where s n 2 is a variance estimator of W n . ...; 关键词：non-central studentized statistics studentized U-statistics studentized L-statistics limiting distributions power of tests 62E20 62F05 60F05

The Berry-Esseen bound for studentized U-statistics: 《Science China Mathematics》2000年第11期1154-1163,共10页林正炎; We establish the Berry-Esseen bound O(n-δ#2) for a studentized U-statistic under the assumption of existence of the (2 + δ)-th moment.; 关键词：studentized U-STATISTICS Berry-Esseen bound.

A Note on the Random Weighting Approximation of U-statistics: 《工程数学学报》1998年第3期41-46,共6页MeiChanglin WangNing; In this paper, the asymptotic accuracy of the random weighting approximation for a studentiznd U-ststistic is investigated basnd on jackknife pseudo-values, Under some condtions, it is shown that the convergence rste ...; 关键词：U统计量随机加权逼近折叠法收敛率

U-STATISTICS