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Robust tests of the equality of two high-dimensional covariance matrices

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Abstract It is of great importance in both theory and application to test the equality of two covariance matrices and . This article proposes a new robust test based on… Click to show full abstract

Abstract It is of great importance in both theory and application to test the equality of two covariance matrices and . This article proposes a new robust test based on spatial sign statistic regarding in high-dimensional setting, and shows that the test statistic is asymptotically normal under elliptical distribution. Besides theoretical properties, simulation results also show that the new test significantly outperforms existing methods in terms of size and power for non normal and high-dimensional data. Analysis of colon cancer data set is carried out to demonstrate the application of the testing procedure.

Keywords: robust tests; high dimensional; covariance matrices; tests equality; equality two

Journal Title: Communications in Statistics - Theory and Methods
Year Published: 2020

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