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Article: An RIHT statistic for testing the equality of several high-dimensional mean vectors under homoskedasticity

TitleAn RIHT statistic for testing the equality of several high-dimensional mean vectors under homoskedasticity
Authors
KeywordsCentral limit theorem
Exact four-moment theorem
High-dimensional data analysis
Mean vector test
Issue Date1-Feb-2024
PublisherElsevier
Citation
Computational Statistics & Data Analysis, 2024, v. 190 How to Cite?
Abstract

In this article, the problem of testing the equality of several mean vectors is considered under the homoskedasticity in a high-dimensional setting. A ridgelized Hotelling's T2 test (RIHT) is developed and the asymptotic distributions are derived. By requiring only the conditions on the first four moments of the underlying distribution, the RIHT test can be used to test the mean vector free of population distributions under both p≥n and p


Persistent Identifierhttp://hdl.handle.net/10722/348485
ISSN
2023 Impact Factor: 1.5
2023 SCImago Journal Rankings: 1.008

 

DC FieldValueLanguage
dc.contributor.authorZhang, Qiuyan-
dc.contributor.authorWang, Chen-
dc.contributor.authorZhang, Baoxue-
dc.contributor.authorYang, Hu-
dc.date.accessioned2024-10-10T00:30:57Z-
dc.date.available2024-10-10T00:30:57Z-
dc.date.issued2024-02-01-
dc.identifier.citationComputational Statistics & Data Analysis, 2024, v. 190-
dc.identifier.issn0167-9473-
dc.identifier.urihttp://hdl.handle.net/10722/348485-
dc.description.abstract<p>In this article, the problem of testing the equality of several mean vectors is considered under the homoskedasticity in a high-dimensional setting. A ridgelized Hotelling's T2 test (RIHT) is developed and the <a href="https://www.sciencedirect.com/topics/biochemistry-genetics-and-molecular-biology/asymptotic-distribution" title="Learn more about asymptotic distributions from ScienceDirect's AI-generated Topic Pages">asymptotic distributions</a> are derived. By requiring only the conditions on the first four moments of the underlying distribution, the RIHT test can be used to test the mean vector free of population distributions under both p≥n and p</p>-
dc.languageeng-
dc.publisherElsevier-
dc.relation.ispartofComputational Statistics & Data Analysis-
dc.subjectCentral limit theorem-
dc.subjectExact four-moment theorem-
dc.subjectHigh-dimensional data analysis-
dc.subjectMean vector test-
dc.titleAn RIHT statistic for testing the equality of several high-dimensional mean vectors under homoskedasticity-
dc.typeArticle-
dc.identifier.doi10.1016/j.csda.2023.107855-
dc.identifier.scopuseid_2-s2.0-85174018058-
dc.identifier.volume190-
dc.identifier.eissn1872-7352-
dc.identifier.issnl0167-9473-

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