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math.ST2026
Sharp upper and lower bounds on the variance of U-statistics
Kiarash Nikoo, Liqian Zhang, Dennis Leung
For a U-statistic with a symmetric kernel of any rank, we offer new upper and lower bounds on its variance, which are uniformly sharper than those established in the classical pape…
math.ST2026
Interpolation and coherence in multiple testing
Ninh Tran, Dennis Leung, Jesse Hemerik
In the literature on multiple testing methods that control the familywise error rate, a fundamental concept is "coherence". A procedure is coherent if it is "logically consistent"…