Γ分布密度函数的性质  

The Property of Γ Distribution Pensity Function

作　　者：任敏 费时龙[1] 

机构地区：[1]宿州学院数学系,安徽宿州234000

出　　处：《大学数学》2009年第3期41-44,共4页College Mathematics

基　　金：宿州学院硕士科研启动资助项目(2008yss17)

摘　　要：分析了Γ分布密度函数的性质,指出了该密度函数与相应参数之间的关系.主要研究第二个参数对密度的影响,证明了β增大时Γ(α,β)分布密度极大值也增大,还指出了β变化时Γ(α,β)分布密度与另一特定密度曲线交点的变化规律.This paper analysis the properties of Г distribution density function and points out the relations between this density function and its parameter. This paper mainly studies the effects of change of the second parameter to density function, proves that the maximum of Г（α,β） distribution density function becomes more and more big when β is increasing, also points out the varying regularities of intersection points of Г（α,β） distribution density curve and some fixed density curve when β is varying.

关 键 词：Г分布 密度函数 Г函数 

分 类 号：O211.3[理学—概率论与数理统计]