Marginal Polytope of a Deformed Exponential Family

Published 21 Dec 2011 in math.ST and stat.TH | (1112.5123v1)

Abstract: 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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Giovanni Pistone

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