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

Dylan Greaves

Source record

Source: arXiv

Published: Sep 10, 2026

arXiv: 2609.11539

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Source abstract

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 using only elementary operations.

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Extended One-Liners for the Gamma, Poisson, and Binomial Distributions — Mathematical Frontier Network