On Finding Geodesic Equation of Two Parameters Logistic Distribution

William W. S. Chen

doi:10.4236/am.2015.612189

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AM> Vol.6 No.12, November 2015

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On Finding Geodesic Equation of Two Parameters Logistic Distribution

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DOI: 10.4236/am.2015.612189 5,221 Downloads 5,607 Views Citations

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William W. S. Chen

Affiliation(s)

Department of Statistics, The George Washington University, Washington DC, USA.

ABSTRACT

In this paper, we used two different algorithms to solve some partial differential equations, where these equations originated from the well-known two parameters of logistic distributions. The first method was the classical one that involved solving a triply of partial differential equations. The second approach was the well-known Darboux Theory. We found that the geodesic equations are a pair of isotropic curves or minimal curves. As expected, the two methods reached the same result.

KEYWORDS

Darboux Theory, Differential Geometry, Geodesic Equation, Isotropic Curves, Logistic Distribution, Minimal Curves, Partial Differential Equation

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

Chen, W. (2015) On Finding Geodesic Equation of Two Parameters Logistic Distribution. Applied Mathematics, 6, 2169-2174. doi: 10.4236/am.2015.612189.

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