L(γ)分布簇函数的收敛指数及其一致收敛性  

The Convergence Index of the Function in the Distribution Class L(γ) and its Uniform Convergence

作　　者：李健祯 陈维 Li Jianzhen;Chen Wei(College of Mathematics and Statistics,Yili Normal University,Yining,Xinjiang 835000,China;Institute of Applied Mathematics,Yili Normal University,Yining,Xinjiang 835000,China)

机构地区：[1]伊犁师范大学数学与统计学院,新疆伊宁835000 [2]伊犁师范大学应用数学研究所,新疆伊宁835000

出　　处：《伊犁师范大学学报（自然科学版）》2024年第2期26-30,共5页Journal of Yili Normal University：Natural Science Edition

摘　　要：受Pólya、Widder和Foss等思想方法的启发,提出并证明L(γ)分布簇函数的收敛指数,用Kallenberg方法证明其一致收敛性.Motivated by Pólya,Widder and Foss,et al'sideas,this paper presents and proves the convergence index of the function in the distribution class L(γ),and proves its uniform convergence using the Kallenberg's method.

关 键 词：L(γ)分布 收敛指数 一致收敛 

分 类 号：O211.3[理学—概率论与数理统计]