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On the geometric structure ofsome statistical manifolds
February 16, 2019 Β· Declared Dead Β· π arXiv.org
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Authors
Mingao Yuan
arXiv ID
1902.06144
Category
math.DG
Cross-listed
cs.IT
Citations
1
Venue
arXiv.org
Last Checked
3 months ago
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 Ξ±-Gaussian curvature. Then for any positive integerp, we con-struct ap-dimensional statistical manifold that is Ξ±-flat.
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