The geometric structures of the Weibull distribution manifold and the generalized exponential distribution manifold
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Abstract
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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Cao, L., Sun, H., & Wang, X. (2008). The geometric structures of the Weibull distribution manifold and the generalized exponential distribution manifold. Tamkang Journal of Mathematics, 39(1), 45–51. https://doi.org/10.5556/j.tkjm.39.2008.44
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