Statistics and Information Theory - Stanford University
The proof is divided in three steps. The first is to obtain moment bounds for the single observables. ?u?(x). With the help of Theorem 2.7 and ...
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] ...
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