A Note on Finding Geodesic Equation of Two Parameters Gamma Distribution

• 作者: William W. S. Chen
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: DARBOUX THEOREM GEODESIC EQUATION Differential EQUATION GAMMA Distribution
• 年，卷（期）: 2014,（21）
• 页码范围: 3511-3517
• 页数: 7页
• 分类号: O1

摘要

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].