Elementary Combinatorial-Probabilistic Proof of the Wallis and Stirling Formulas
Mikhail Kovalyov
Journal of Mathematics and Statistics, Volume 5, Issue 4, pp. 408–410 · doi.org/10.3844/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.
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Kovalyov, M. (2009). Elementary Combinatorial-Probabilistic Proof of the Wallis and Stirling Formulas. Journal of Mathematics and Statistics, 5(4), 408–410. https://doi.org/10.3844/jmssp.2009.408.410
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