Abstract
A test statistic for homogeneity of two or more covariance matrices of large dimensions is presented when the data are multivariate normal. The statistic is location-invariant and defined as a function of U-statistics of non-degenerate kernels so that the corresponding asymptotic theory is employed to derive the limiting normal distribution of the test under a few mild and practical assumptions. Accuracy of the test is shown through simulations with different parameter settings.
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The author is thankful to the editor, the associate editor, and two anonymous referees for their comments, which helped improve the original version of the article.
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Ahmad, M.R. Location-invariant tests of homogeneity of large-dimensional covariance matrices. J Stat Theory Pract 11, 731–745 (2017). https://doi.org/10.1080/15598608.2017.1308895
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DOI: https://doi.org/10.1080/15598608.2017.1308895