The abstract of doctoral dissertation‘Some research on hypothesis testing and nonparametric variable screening problems for high dimensional data’  

作　　者：Yongshuai Chen Hengjian Cui 

机构地区：[1]School of Mathematical Sciences,Capital Normal University,Beijing,People’s Republic of China [2]School of Statistics,Capital University of Economics and Business,Beijing,People’s Republic of China

出　　处：《Statistical Theory and Related Fields》2020年第2期228-229,共2页统计理论及其应用（英文）

摘　　要：In this thesis,we construct test statistic for association test and independence test in high dimension,respectively,and study the corresponding theoretical properties under some regularity conditions.Meanwhile,we propose a nonparametric variable screening procedure for sparse additive model with multivariate response in untra-high dimension and established some screening properties.

关 键 词：High-dimensional test independence test distance correlation power enhancement association test U-STATISTIC nonparametric variable screening additive model 

分 类 号：O17[理学—数学]