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A Note on Finding Geodesic Equation of Two Parameters Gamma Distribution
Department of Statistics, The George Washington University, Washington DC, USA
- 1 Department of Statistics, The George Washington University, Washington DC, USA
Applied Mathematics·Volume 05 (2014)·Pages 3511–3517·Published 1 December 2014·DOI10.4236/am.2014.521328
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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].
KeywordsDarboux TheoremGeodesic EquationDifferential EquationGamma Distribution
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