Stirling's formula via the chi-square distribution

Autores/as

  • Kevin Allan Sales-Rodrigues University of S˜ao Paulo Brasil

DOI:

https://doi.org/10.24310/recta.19.2.2018.19909

Palabras clave:

Central limit theorem, factorial approximation, Gamma function, normal distribution

Resumen

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.

Descargas

Publicado

2018-12-31

Cómo citar

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