摘要
在统计流形上引入主丛的概念.首先介绍流形上主丛的一些基础知识,然后研究统计流形上标架丛的α结构.最后利用给出的方法对二元正态分布流形进行具体的计算.
The concept of principal bundles was introduced on statistical manifolds.First,some basic knowledge of principal bundles on manifold was presented.Then theαstructure of frame bundles was studied.Finally,the presented methods were used to calculate the manifold of bivariate normal distributions.
作者
孙华飞
张通
韩希武
李帝东
SUN Hua-fei;ZHANG Tong;HAN Xi-wu;LI Di-dong(School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, China;Department of Mathematics, Duke University, Durham, North Carolina 27708, USA)
出处
《北京理工大学学报》
EI
CAS
CSCD
北大核心
2018年第4期437-440,共4页
Transactions of Beijing Institute of Technology
基金
国家自然科学基金资助项目(61179031)
关键词
主丛
信息几何
统计流形
principal bundles
information geometry
statistical manifolds
