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discrete maximal functions 1hardy-littlewood maximal operator 1harmonic analysis 1higher order derivatives 1l^p bounds 1

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math.PR2026

Convex order, log-convexity and moments of averages of random variables

Felipe Gonçalves, José Madrid, Antonio Pedro Ramos

We establish a convex order comparison for products of averages of exchangeable nonnegative random variables. As a consequence, we solve a conjecture of Lamkin and Tkocz (2022) on…