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Johnson, N.L. Kotz, S. and Balakrishnan, N (1994) Continuous Univariate Distributions, Volume 1. 2nd Edition, John Wiley & Sons, Inc.

has been cited by the following article:

• TITLE: On Finding Geodesic Equation of Normal Distribution and Gaussian Curvature

  AUTHORS: William W. S. Chen

  KEYWORDS: Darboux Theory, Differential Geometry, Geodesic Equation, Partial Differential Equation, Normal Distribution

  JOURNAL NAME: Applied Mathematics, Vol.8 No.9, September 27, 2017

  ABSTRACT: In this paper, we apply two different algorithms to find the geodesic equation of the normal distribution. The first algorithm consists of solving a triply partial differential equation where these equations originated from the normal distribution. While the second algorithm applies the well-known Darboux Theory. These two algorithms draw the same geodesic equation. Finally, we applied Baltzer R.’s finding to compute the Gaussian Curvature.