On the geometric structure ofsome statistical manifolds

Mingao Yuan

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arXiv · 1902.06144

On the geometric structure ofsome statistical manifolds

Mingao Yuan

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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.

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Mingao Yuan. 2019-02-16. On the geometric structure ofsome statistical manifolds. https://arxiv.org/abs/1902.06144

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