论文标题

尖锐的rosenthal型不平等,用于混合物和对数洞变量

Sharp Rosenthal-type inequalities for mixtures and log-concave variables

论文作者

Chasapis, Giorgos, Eskenazis, Alexandros, Tkocz, Tomasz

论文摘要

对于独立随机变量的总和,这是固定分布的混合物,我们获得了具有尖锐常数的玫瑰植物不平等。当汇总的矩分别受到限制时,我们还会在对数凸口设置中确定极端者。

We obtain Rosenthal-type inequalities with sharp constants for moments of sums of independent random variables which are mixtures of a fixed distribution. We also identify extremisers in log-concave settings when the moments of summands are individually constrained.

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