统计流形上α-先验的存在性

α-Prior’s Existence on Statistical Manifold

从微分几何学的角度来讨论Jeffreys先验,并引入了先验分布的单参数族,称其为α-先验.论文给出了α-先验和Jeffreys先验之间的关系,讨论了当α≠0时在统计流形上α-先验的存在性.

In this paper, the Jeffreys prior is generalized from the point of view of differential geometry A one-parameter family of prior distributions are introduced. They are named the a-priors, The a-prior is defined as the parallel volume element with respect to the u-connection, The relation between a-prior and Jeffreys prior is given. The existence of the a-prior with a≠0 on a statistical manifold is considered