Exponential inequalities and functional central limit theorems for ...
We show two nearly optimal hyperbolic Chernoff bounds: one for Rademacher sum of arbitrary vectors and another for random vectors in the hyperbolic cone. We ...
a fluctuation result for the displacement in the optimal matching ...We use the Chernoff-Cramér method to derive a few standard bounds. Poisson variables We start with the Poisson case. Let Z ? Poi(?) be ... Hyperbolic Concentration, Anti-Concentration, and DiscrepancyTherefore, for t ? 0, the equality holds. ??. X(t) = sup ??0. {t? ? ?(?)}. We arrive at the Chernoff bound that ... [Sub-exponential tail bound] ... Moments and tailsWe leverage our inequalities to prove several new agreement testing theorems on high dimensional expanders, including a new 99%-regime test for ...
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