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Sharp bounds on $p$-norms for sums of independent uniform random variables, $0 < p < 1$ (2105.14079v3)
Published 28 May 2021 in math.PR
Abstract: We provide a sharp lower bound on the $p$-norm of a sum of independent uniform random variables in terms of its variance when $0 < p < 1$. We address an analogous question for $p$-R\'enyi entropy for $p$ in the same range.
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