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Is Normal Distribution due to Karl Gauss? Euler, his Family of Gamma Functions, and Place in History of Statistics

Abstract

While Gauss (1777–1855) has primacy in explicating properties of the normal distribution, it is Euler (1707–1783) who is predominant with respect to analytical formulation of this function. This case is discussed within the context of uniform rendering of computer algorithms for higher transcendental functions.

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References

  • Euler, L. (1748). Introductio in analysin infinitorum. Lausanne: Switzerland: M. M. Bosquet.

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  • Gauss, K. F. (1809). Theoria motus corporum coelestium. Hamburg: Germany.

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Kruss, D.J. Is Normal Distribution due to Karl Gauss? Euler, his Family of Gamma Functions, and Place in History of Statistics. Quality & Quantity 35, 445–446 (2001). https://doi.org/10.1023/A:1012226622613

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  • DOI: https://doi.org/10.1023/A:1012226622613

Keywords

  • Normal Distribution
  • Analytical Formulation
  • Gamma Function
  • Computer Algorithm
  • Transcendental Function