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Author:

Xia, Liqi (Xia, Liqi.) | Cao, Ruiyuan (Cao, Ruiyuan.) | Du, Jiang (Du, Jiang.) | Dai, Jun (Dai, Jun.)

Indexed by:

Scopus SCIE

Abstract:

In this article, we consider the complete independence test of high-dimensional data. Based on Chatterjee coefficient, we pioneer the development of quadratic test and extreme value test which possess good testing performance for oscillatory data, and establish the corresponding large sample properties under both null hypotheses and alternative hypotheses. In order to overcome the shortcomings of quadratic statistic and extreme value statistic, we propose a testing method termed as power enhancement test by adding a screening statistic to the quadratic statistic. The proposed method do not reduce the testing power under dense alternative hypotheses, but can enhance the power significantly under sparse alternative hypotheses. Three synthetic data examples and two real data examples are further used to illustrate the performance of our proposed methods.

Keyword:

Independence test Chatterjee coefficient Rank correlation High-dimensional data Distribution-free

Author Community:

  • [ 1 ] [Xia, Liqi]Beijing Univ Technol, Sch Math Stat & Mech, Beijing 100124, Peoples R China
  • [ 2 ] [Cao, Ruiyuan]Beijing Univ Technol, Sch Math Stat & Mech, Beijing 100124, Peoples R China
  • [ 3 ] [Du, Jiang]Beijing Univ Technol, Sch Math Stat & Mech, Beijing 100124, Peoples R China
  • [ 4 ] [Dai, Jun]Beijing Univ Technol, Sch Math Stat & Mech, Beijing 100124, Peoples R China
  • [ 5 ] [Du, Jiang]Beijing Inst Sci & Engn Comp, Beijing 100124, Peoples R China

Reprint Author's Address:

  • [Du, Jiang]Beijing Univ Technol, Sch Math Stat & Mech, Beijing 100124, Peoples R China;;[Du, Jiang]Beijing Inst Sci & Engn Comp, Beijing 100124, Peoples R China

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Source :

STATISTICAL PAPERS

ISSN: 0932-5026

Year: 2025

Issue: 1

Volume: 66

1 . 3 0 0

JCR@2022

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 8

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