Lauritzen, S.L. (1987) Chapter 4: Statistical Manifolds. Differential Geometry in Statistical Inference. Vol. 10, Institute of Mathematical Statistics, Lecture Notes Monograph Series, Hayward, 163-216.

has been cited by the following article:

• TITLE: A Note on Finding Geodesic Equation of Two Parameters Gamma Distribution

  AUTHORS: William W. S. Chen

  KEYWORDS: Darboux Theorem, Geodesic Equation, Differential Equation, Gamma Distribution

  JOURNAL NAME: Applied Mathematics, Vol.5 No.21, December 24, 2014

  ABSTRACT: Engineers commonly use the gamma distribution to describe the life span or metal fatigue of a manufactured item. In this paper, we focus on finding a geodesic equation of the two parameters gamma distribution. To find this equation, we applied both the well-known Darboux Theorem and a pair of differential equations taken from Struik [1]. The solution proposed in this note could be used as a general solution of the geodesic equation of gamma distribution. It would be interesting if we compare our results with Lauritzen’s [2].