论文标题
正常分布的统计歧管上α连接的表征
A characterization of the alpha-connections on the statistical manifold of normal distributions
论文作者
论文摘要
我们表明，正常分布的统计歧管是同质的。特别是，它承认$ 2 $维的可解决的谎言组结构。此外，我们给出了Lie组上Amari-Chentsov $α$连接的几何表征。
We show that the statistical manifold of normal distributions is homogeneous. In particular, it admits a $2$-dimensional solvable Lie group structure. In addition, we give a geometric characterization of the Amari-Chentsov $α$-connections on the Lie group.
