三参数burr分布的几何结构  

Geometric structures of the three-parameter burr distribution manifold

作　　者：罗洁 万文龙 许皓 LUO Jie;WAN Wenlong;XU Hao(School of Mathematics and Information,China West Normal University,Nanchong Sichuan 637009,China)

机构地区：[1]西华师范大学数学与信息学院,四川南充637009

出　　处：《内江师范学院学报》2023年第12期30-35,共6页Journal of Neijiang Normal University

基　　金：国家自然科学基金项目(12001439)。

摘　　要：从信息几何的理论出发,建立了三参数burr分布流形,并得出了三参数burr分布流形的Fisher信息矩阵、逆矩阵、张量、α-联络和黎曼曲率一系列几何性质,同时还给出了三参数burr分布流形的两个子流形并计算了相关的几何性质.利用计算结果和相关结论,可以进一步了解三参数burr分布的几何结构.Based on the theory of information geometry,the three-parameter burr distribution manifold is established,and a series of geometric properties of Fisher information matrix,inverse matrix,tensor,α-connection and Riemannian curvature are calculated.At the same time,we also give two submanifolds of three-parameter burr distribution manifoldsand calculate the related geometric properties.The geometric structure of three-parameter burr distribution can be further understood to solve related problems by using the calculation and relevant conclusions.

关 键 词：信息几何 三参数burr分布 Fisher信息矩阵 α-联络 

分 类 号：O186[理学—数学]