Marginal Polytope of a Deformed Exponential Family

Mathematics – Statistics Theory

Scientific paper

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Scientific paper

A deformed logarithm function called $q$-logarithm has received considerable
attention by physicist after its introduction by C. Tsallis. J. Naudts has
proposed a generalization called $\phi$-logarithm and he has derived the basic
properties of $\phi$-exponential families. In this paper we study the related
notion of marginal polytope in the case of a finite state space.

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