Convexity and symmetry of the generalized J-divergence. (Spanish. English summary) Zbl 0717.62004

Summary: The symmetry of the generalized J-divergence is characterized by its parameter and function. The convexity and symmetrization are studied as a function of the parameter, according to the shape of the function \(\phi\) (t) that determines this generalized J-divergence. Finally, the convexity as a function of the variables, according to the convexity of the functions \(\phi\) (t) and \(1/\phi ''(t)\) is revised.


62B10 Statistical aspects of information-theoretic topics
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