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

Abstract

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.

Keywords:

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

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Notes on contributors

Yongshuai Chen

Yongshuai Chen is a young teacher of Capital University of Economics and Business.

Hengjian Cui

Hengjian Cui is a Professor of Capital Normal University.