On Finding Geodesic Equation of Two Parameters Binomial Distribution

Authors

  • William W.S. Chen Department of Statistics The George Washington University Washington D.C. 20013

DOI:

https://doi.org/10.14738/tmlai.73.6696

Keywords:

Bernoulli Trial, binomial distribution, Darboux Theory, differential geometry, geodesic equation, digamma function, Rotation axis, second order partial differential equation, trigamma function.

Abstract

 The purpose of this paper is to find a general form of the geodesic equation of the binomial distribution. Using Darboux’s theory we will set up a second order partial differential equation. Then we will apply the chain rule to transform the variable and rotate the axis to remove the interaction term, which will lead us to find the geodesic equation of binomial distribution. To illustrate how we can find such a geodesic equation in practice, we demonstrate by an example.

Downloads

Published

2019-07-01

How to Cite

Chen, W. W. (2019). On Finding Geodesic Equation of Two Parameters Binomial Distribution. Transactions on Engineering and Computing Sciences, 7(3), 28–34. https://doi.org/10.14738/tmlai.73.6696

Issue

Vol. 7 No. 3 (2019): Vol. 7 No. 3 (2019)

Section

Articles