On the geometric structure ofsome statistical manifolds

02/16/2019

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by   Mingao Yuan, et al.

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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 α-Gaussian curvature. Then for any positive integerp, we con-struct ap-dimensional statistical manifold that is α-flat.