On Finding Geodesic Equation of Two Parameters Extreme Value and Related Six 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
In this paper we use Darboux’s theory to set up a second order partial differential equation. Later, we will use the variable transformation method to rotate the axis, by 22.8756235 4 degree , in order to remove the interaction terms, which will allow us to find the geodesic equation of two parameter’s extreme value distribution. We also list and prove some useful moments of this distribution. Finally, we apply six transformations that relate this extreme value distribution to other well known distributions, which will extend the value of the results.
Keywords: Darboux theory, differential geometry, geodesic equation, Extreme Value distribution, moments of this distribution, second order partial differential equation, rotate axis, six related models, θ equal 22.8756235 4