| 统计流形在切丛上提升的等积仿射结构 |
| |
| 引用本文： | 秦华军,舒级.统计流形在切丛上提升的等积仿射结构[J].四川师范大学学报(自然科学版),2011,34(1):10-12. |
| |
| 作者姓名： | 秦华军 舒级 |
| |
| 作者单位： | 四川师范大学数学与软件科学学院,四川,成都,610066 |
| |
| 基金项目： | 国家自然科学基金(10926034和10771151)资助项目 |
| |
| 摘 要： | 具有等积仿射结构的统计流形在贝叶斯统计理论中有着重要应用,主要讨论统计流形及其切丛上的等积仿射结构,得到了统计流形的无挠仿射联络和其在切丛上提升的仿射联络的等积仿射性是一致的.
|
| 关 键 词： | 统计流形 对偶联络 等积仿射结构 完全提升 切丛 |
Complete Lifts Equiaffine Structure on Tangent Bundle over Statistical Manifolds |
| |
| QIN Hua-jun,SHU Ji.Complete Lifts Equiaffine Structure on Tangent Bundle over Statistical Manifolds[J].Journal of Sichuan Normal University(Natural Science),2011,34(1):10-12. |
| |
| Authors: | QIN Hua-jun SHU Ji |
| |
| Institution: | QIN Hua-jun,SHU Ji(College of Mathematics and Software Science,Sichuan Normal University,Chengdu 610066,Sichuan) |
| |
| Abstract: | The statistical manifolds with equiaffine structures have important applications to Bayesian statistics.This paper proves that the torsion-free affine connection on statistical manifolds is equiaffine if and only if its complete lifts connection is an equiaffine connection. |
| |
| Keywords: | dual connection equiaffine structure statistical manifolds complete lifts tangent bundle |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
