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STOR Colloquium: Kai Zhang, UNC-Chapel Hill

February 19 @ 3:30 pm - 4:30 pm

Kai Zhang University of North Carolina, Chapel Hill BET on Independence   We study the problem of nonparametric dependence detection. Many existing methods suffer severe power loss due to non-uniform consistency, which we illustrate with a paradox. To avoid such power loss, we approach the nonparametric test of independence through the new framework of binary expansion statistics (BEStat) and binary expansion testing (BET), which examine dependence through a novel binary expansion filtration approximation of the copula. Through a Hadamard transform,…

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