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A very short proof of the subgaussian convex-order comparison theorem

Antoine Song, Michel Talagrand

Source record

Source: arXiv

Published: Oct 6, 2026

arXiv: 2610.07876

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Source abstract

We provide a very short proof of the following comparison theorem, which has recently played an important role: every centered subgaussian random vector is dominated in convex order, up to a universal constant, by a standard Gaussian random vector.

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A very short proof of the subgaussian convex-order comparison theorem — Mathematical Frontier Network