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A simultaneous testing of the mean vector and the covariance matrix among two populations for high-dimensional data

Masashi Hyodo () and Takahiro Nishiyama
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Masashi Hyodo: Osaka Prefecture University
Takahiro Nishiyama: Senshu University

TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, 2018, vol. 27, issue 3, 680-699

Abstract: Abstract In this article, we propose an $$L^2$$ L 2 -norm-based test for simultaneous testing of the mean vector and the covariance matrix under high-dimensional non-normal populations. To construct this, we derive an asymptotic distribution of a test statistic based on both differences mean vectors and covariance matrices. We also investigate the asymptotic sizes and powers of the proposed test using this result. Finally, we study the finite sample and dimension performance of this test via Monte Carlo simulations.

Keywords: Simultaneous test; High-dimensional data analysis; Asymptotic distribution; Multivariate analysis; 62H15; 62F03; 62F05 (search for similar items in EconPapers)
Date: 2018
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