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arXiv · 2604.10395

A remark on the comparison of the sum and the maximum of positive random variables

Kazuki Okamura
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Abstract

We disprove a conjecture stated in a recent paper by Arnold and Villasenor concerning the sum and the maximum of independent and identically distributed half-normal random variables. Our method is applicable to generalized gamma distributions.

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Kazuki Okamura. 2026-04-12. A remark on the comparison of the sum and the maximum of positive random variables. https://arxiv.org/abs/2604.10395

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