@article {10.3844/jmssp.2009.408.410, article_type = {journal}, title = {Elementary Combinatorial-Probabilistic Proof of the Wallis and Stirling Formulas}, author = {Kovalyov, Mikhail}, volume = {5}, year = {2009}, month = {Dec}, pages = {408-410}, doi = {10.3844/jmssp.2009.408.410}, url = {https://thescipub.com/abstract/jmssp.2009.408.410}, abstract = {This short note provides a remarkably simple derivation of the Wallis and Stirling formulas based on elementary estimates applied to binomial coefficients. As a byproduct an elementary proof of the central limit theorem for the binomial distribution is also obtained.}, journal = {Journal of Mathematics and Statistics}, publisher = {Science Publications} }