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

被引：0

作者：

Chen, Yongshuai ^{[1
,2
]}

Cui, Hengjian ^{[1
]}

机构：

[1] Capital Normal Univ, Sch Math Sci, Beijing, Peoples R China

[2] Capital Univ Econ & Business, Sch Stat, Beijing, Peoples R China

来源：

STATISTICAL THEORY AND RELATED FIELDS | 2020年 / 4卷 / 02期

基金：

中国国家自然科学基金;

关键词：

High-dimensional test; independence test; distance correlation; power enhancement; association test; U-statistic; nonparametric variable screening; additive model; INDEPENDENCE;

D O I：

10.1080/24754269.2020.1829390

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

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.

引用

页码：228 / 229

页数：2

共 24 条

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