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The Geometric Structures of the Weibull Distribution Manifold and the Generalized Exponential Distribution Manifold

並列摘要


Investigating the geometric structures of the distribution manifolds is a basic task in information geometry. However, by so far, most works are on the distribution manifolds of exponential family. In this paper, we investigate two non-exponential distribution manifolds-the Weibull distribution manifold and the generalized exponential distribution manifold. Then we obtain their geometric structures.

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