Mark A. Pinsky. Stirling's Formula via the Poisson Distribution. The American Mathematical Monthly, 114(3):256-258, 2007. [doi]
@article{Pinsky07,
title = {Stirling's Formula via the Poisson Distribution},
author = {Mark A. Pinsky},
year = {2007},
url = {http://www.jstor.org/stable/27642172},
researchr = {https://researchr.org/publication/Pinsky07},
cites = {0},
citedby = {0},
journal = {The American Mathematical Monthly},
volume = {114},
number = {3},
pages = {256-258},
}