PreprintCC BY 4.0arXiv
Extended One-Liners for the Gamma, Poisson, and Binomial Distributions
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≥ 1, 0≤ p ≤ 1 laws using only elementary operations.
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BibTeX
@misc{greaves2026extended,
title = {{Extended One-Liners for the Gamma, Poisson, and Binomial Distributions}},
author = {Dylan Greaves},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.11539},
eprint = {2609.11539},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.11539},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Extended One-Liners for the Gamma, Poisson, and Binomial Distributions
AU - Dylan Greaves
PY - 2026
DA - 2026/09/10
PB - arXiv
DO - 10.48550/arxiv.2609.11539
UR - https://arxiv.org/abs/2609.11539
AB - We demonstrate explicit transformations of three independent uniforms with exact Gamma(a,1), a>0, Poisson(λ), λ>0, and Binomial(N,p), N≥ 1, 0≤ p ≤ 1 laws using only elementary operations.
ER -