On the geometric structure ofsome statistical manifolds
Differential Geometry
2019-04-05 v2 Information Theory
math.IT
Abstract
In information geometry, one of the basic problem is to study the geomet-ric properties of statistical manifold. In this paper, we study the geometricstructure of the generalized normal distribution manifold and show that it has constant {\alpha}-Gaussian curvature. Then for any positive integerp, we con-struct ap-dimensional statistical manifold that is {\alpha}-flat.
Cite
@article{arxiv.1902.06144,
title = {On the geometric structure ofsome statistical manifolds},
author = {Mingao Yuan},
journal= {arXiv preprint arXiv:1902.06144},
year = {2019}
}
Comments
This is a second version with some modification