Hyperbolic Concentration, Anti-Concentration, and Discrepancy
Therefore, 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 ... MA 581 Notes: Mathematics of Data ScienceIn this section we discuss the Chernoff-Cramér method, which gives exponential tail inequalities?provided the moment-generating function is ... Moments and tailsAgain, a lower tail bound also holds after replacing ?max(·) replacing ?min(·). These bounds of [Tro12] and [KS18] that we call Chernoff-like ...
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