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A tail bound for read‐k families of functions

Published Web Location

https://arxiv.org/pdf/1205.1478v1.pdf
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Abstract

We prove a Chernoff-like large deviation bound on the sum of non-independent random variables that have the following dependence structure. The variables Y1,...,Yr are arbitrary [0,1]-valued functions of independent random variables X1,...,Xm, modulo a restriction that every Xi influences at most k of the variables Y1,...,Yr.

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