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Given a probability measure μ, on the space of strictly positive densities Mμ, we construct a topological manifold on which the elements are connected by κ-exponential models in the form q=expκ(u⊖κKp,κ(u))p, where expκ(x)=(1+κ2x2+κx)1/κ, x⊖κy=x1+κ2y2−y1+κ2x2, p,q∈Mμ, and their local representations are elements of an Orlicz space, i.e. the manifold is modeled on Orlicz spaces. Parameter k is the...
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