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arXiv · 0903.2012

$\kappa$-exponential models from the geometrical viewpoint

Giovanni Pistone
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Abstract

We discuss the use of Kaniadakis' $\kappa$-exponential in the construction of a statistical manifold modelled on Lebesgue spaces of real random variables. Some algebraic features of the deformed exponential models are considered. A chart is defined for each strictly positive densities; every other strictly positive density in a suitable neighborhood of the reference probability is represented by the centered $\Kln$ likelihood

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Giovanni Pistone. 2009-03-11. $\kappa$-exponential models from the geometrical viewpoint. https://doi.org/10.1140/epjb/e2009-00154-y

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