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

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 wi...

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Bibliographic Details
Published inStatistical theory and related fields Vol. 4; no. 2; pp. 228 - 229
Main Authors Chen, Yongshuai, Cui, Hengjian
Format Journal Article
LanguageEnglish
Published Taylor & Francis 02.07.2020
Taylor & Francis Group
Subjects
additive model
association test
distance correlation
High-dimensional test
independence test
nonparametric variable screening
power enhancement
U-statistic
Online AccessGet full text
ISSN2475-4269
2475-4277
DOI10.1080/24754269.2020.1829390

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Summary: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.
ISSN:2475-4269
2475-4277
DOI:10.1080/24754269.2020.1829390