Sharp bounds on $p$-norms for sums of independent uniform random variables, $0<p<1$

Giorgos Chasapis, Keerthana Gurushankar, Tomasz Tkocz

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 $p$-…