Information Geometry on the κ-Thermostatistics
نویسندگان
چکیده
We explore the information geometric structure of the statistical manifold generated by the κ-deformed exponential family. The dually-flat manifold is obtained as a dualistic Hessian structure by introducing suitable generalization of the Fisher metric and affine connections. As a byproduct, we obtain the fluctuation-response relations in the κ-formalism based on the κ-generalized exponential family.
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عنوان ژورنال:
- Entropy
دوره 17 شماره
صفحات -
تاریخ انتشار 2015