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Marginal Polytope of a Deformed Exponential Family

Statistics Theory 2011-12-22 v1 Statistics Theory

Abstract

A deformed logarithm function called qq-logarithm has received considerable attention by physicist after its introduction by C. Tsallis. J. Naudts has proposed a generalization called ϕ\phi-logarithm and he has derived the basic properties of ϕ\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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@article{arxiv.1112.5123,
  title  = {Marginal Polytope of a Deformed Exponential Family},
  author = {Giovanni Pistone},
  journal= {arXiv preprint arXiv:1112.5123},
  year   = {2011}
}

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