Dylan Greaves

activity

20192026

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stat.CO2026

Extended One-Liners for the Gamma, Poisson, and Binomial Distributions

Dylan Greaves

We demonstrate explicit transformations of three independent uniforms with exact Gamma $(a, 1)$ , $a > 0$ , Poisson $(λ)$ , $λ > 0$ , and Binomial $(N, p)$ , $N \geq 1$ , $0 \leq p \leq 1$ laws usi…

math.PR2026

A proof of the strong Gaussian product inequality conjecture

Frédéric Ouimet, Dylan Greaves

Let $X = (X_{1}, \dots, X_{n})$ be a centered Gaussian vector, not necessarily nondegenerate. It is proved that, for every $α_{1}, \dots, α_{n} > 0$ , \[ \mathsf{E}\left[\prod_{i…