Stirling's formula via the chi-square distribution
DOI:
https://doi.org/10.24310/recta.19.2.2018.19909Keywords:
Central limit theorem, factorial approximation, Gamma function, normal distributionAbstract
In this article Stirling’s formula is proved using the chi-square distribution and the central limit theorem. The purpose of this text is to present a short and simple demonstration of Stirling’s formula from well-known probabilistic facts avoiding a long and tedious demonstration from purely mathematical arguments.
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Published
2018-12-31
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Sales-Rodrigues, K. A. (2018). Stirling’s formula via the chi-square distribution. Revista Electrónica De Comunicaciones Y Trabajos De ASEPUMA, 19(2), 107–110. https://doi.org/10.24310/recta.19.2.2018.19909
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