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This œuvre, New metric and connections in statistical manifolds, by Charles Cavalcante is licensed under a Creative Commons Attribution-ShareAlike 4.0 International license.

New metric and connections in statistical manifolds

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New metric and connections in statistical manifolds
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We define a metric and a family of α-connections in statistical manifolds, based on ϕ-divergence, which emerges in the framework of ϕ-families of probability distributions. This metric and α-connections generalize the Fisher information metric and Amari’s α-connections. We also investigate the parallel transport associated with the α-connection for α = 1.
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New metric and connections in statistical manifolds
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