A qq-exponential statistical Banach manifold

Let μμ be a given probability measure and MμMμ the set of μμ-equivalent strictly positive probability densities. In this paper we construct a Banach manifold on MμMμ, modeled on the space L∞(p⋅μ)L∞(p⋅μ) where pp is a reference density, for the non-parametric qq-exponential statistical models (Tsallis’s deformed exponential), where 0