On Finding Geodesic Equation of Two Parameters Inverse Gaussian Distribution
William W. S. Chen *
Department of Statistics, The George Washington University, Washington D.C. 20013, USA.
*Author to whom correspondence should be addressed.
Abstract
The class of Inverse Gaussian distributions is quite commonly used as a life-time model in reliability studies. The books by Chhikara and Folks [1] and Seshadri [2] present extensive discussions on classical inference for the parameters of Inverse Gaussian distribution.
However, in this paper, we switch our attention to find its geodesic equation. We applied two different algorithms to solve some partial differential equations, where these equations originated from the Inverse Gaussian distribution. As expected, the two algorithms yield the same result.
Keywords: Darboux theory, differential geometry, geodesic equation, inverse Gaussian distribution, triply partial differential equation