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1. κ-exponential models from the geometrical viewpoint

G. Pistone,

We discuss the use of Kaniadakis' κ-exponential in the construction of a statistical manifold modelled on Lebesgue spaces of real random variables. Some algebraic features of the deformed exponential ...

complete description

http://publications.edpsciences.org/10.1140/epjb/e2009-00154-y/pdf

2. κ-generalized statistics in personal income distribution

F. Clementi, M. Gallegati, G. Kaniadakis,

Starting from the generalized exponential function $\exp_{\kappa}(x)=(\sqrt{1+\kappa^{2}x^{2}}+\kappa x)^{1/\kappa}$, with exp 0(x)=exp (x), proposed in reference [G. Kaniadakis, Physica A 296, 405 (2...

complete description

http://publications.edpsciences.org/10.1140/epjb/e2007-00120-9/pdf

1. κ-exponential models from the geometrical viewpoint

2. κ-generalized statistics in personal income distribution

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