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A Tail Bound for Read-k Families of Functions

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 نشر من قبل Dmitry Gavinsky
 تاريخ النشر 2012
  مجال البحث الهندسة المعلوماتية
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We prove a Chernoff-like large deviation bound on the sum of non-independent random variables that have the following dependence structure. The variables $Y_1,...,Y_r$ are arbitrary Boolean functions of independent random variables $X_1,...,X_m$, modulo a restriction that every $X_i$ influences at most $k$ of the variables $Y_1,...,Y_r$.


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