A Note on Finding Geodesic Equation of Two Parameters Gamma Distribution

Author(s)
William W. S. Chen

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].

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].

Cite this paper

Chen, W. (2014) A Note on Finding Geodesic Equation of Two Parameters Gamma Distribution.*Applied Mathematics*, **5**, 3511-3517. doi: 10.4236/am.2014.521328.

Chen, W. (2014) A Note on Finding Geodesic Equation of Two Parameters Gamma Distribution.

References

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