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Sharp bounds on $p$-norms for sums of independent uniform random variables, $0 < p < 1$
Giorgos Chasapis, Keerthana Gurushankar, Tomasz Tkocz · 2021-05-29 · via math.PR updates on arXiv.org

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 $p$-Rényi entropy for $p$ in the same range.

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