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Testing Mutual Independence in High Dimension via Distance Covariance

Testing Mutual Independence in High Dimension via Distance Covariance

Summary We introduce an L2-type test for testing mutual independence and banded dependence structure for high dimensional data. The test is constructed on the basis of the pairwise distance covariance and it accounts for the non-linear and non-monotone dependences among the data, which cannot be fully captured by the existing …