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Simultaneous test of the mean vectors and covariance matrices for high-dimensional data using RMT

Simultaneous test of the mean vectors and covariance matrices for high-dimensional data using RMT

In this paper, we propose a new modified likelihood ratio test (LRT) for simultaneously testing mean vectors and covariance matrices of two-sample populations in high-dimensional settings. By employing tools from Random Matrix Theory (RMT), we derive the limiting null distribution of the modified LRT for generally distributed populations. Furthermore, we …