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$(\lambda )$, $\lambda >0$, and Binomial$(N,p)$, $N\ge 1$, $0\le p\le 1$ laws using only elementary operations.

arXiv comment18 pages