广义正规变化函数及其逆函数

Generalized Regular Variation Function and Its Inverse Function

讨论了广义正规变化函数的逆函数Γ(γ ,b) ,将Π变化函数及其逆———Γ变化函数的性质推广到广义正规变化函数及其逆函数Γ(γ ,b)上 ,导出Γ(γ ,b)的基本性质及表示定理和等价条件 ,利用所得结果讨论了极值分布的吸引场及VonMises条件的收敛速度问题。

The behavior of the generalized regular variation functions is studied.The properties of the Π and Γ variation functions are generalized to the generalized regular variation functions and their inverse functions\| Γ( γ,b ) functions.Γ (γ,b) functions' basic properties,expression theorem and equivalent conditions are proved.The domains of the extreme value distributions and rates of the convergence of the Von.Mises' condition are discussed.