TY  - JOUR
AU  - Kovalyov, Mikhail 
PY  - 2009
TI  - Elementary Combinatorial-Probabilistic Proof of the Wallis and Stirling Formulas
JF  - Journal of Mathematics and Statistics
VL  - 5
IS  - 4
DO  - 10.3844/jmssp.2009.408.410
UR  - https://thescipub.com/abstract/jmssp.2009.408.410
AB  - 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.