论文标题

球和垃圾箱 - 简单的浓度边界

Balls and Bins -- Simple Concentration Bounds

论文作者

Schulte-Geers, Ernst, Waggoner, Bo

论文摘要

根据分销$ p $将球扔进垃圾箱的浓度范围。 $ m $球后,$ρ_{m,k}在两侧的控制后,$ k $载的垃圾箱的概率:= m \ | p \ | _k / k $。这给出了最大负载以及等待时间的集中度不平等,直到$ k $的垃圾箱为止。

Concentration bounds are given for throwing balls into bins independently according to a distribution $p$. The probability of a $k$-loaded bin after $m$ balls is shown to be controlled on both sides by $ρ_{m,k} := m \|p\|_k / k$. This gives concentration inequalities for the maximum load as well as for the waiting time until a $k$-loaded bin.

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