Gaussian maximum of entropy and reversed log-Sobolev inequality
Generalised directed divergence without symmetry
Generalization of sum representation functional equations. I.
Generalization of sum representation functional equations. II: Generalized directed divergence
Generalization of the non-additive measures of uncertainty and information and their axiomatic characterizations
Generalized characteristic equation of branching information measures.
Generalized Entropies in Coding Theory.
Generalized fundamental equation of information of multiplicative type.
Generalized information criteria for Bayes decisions
This paper deals with Bayesian models given by statistical experiments and standard loss functions. Bayes probability of error and Bayes risk are estimated by means of classical and generalized information criteria applicable to the experiment. The accuracy of the estimation is studied. Among the information criteria studied in the paper is the class of posterior power entropies which include the Shannon entropy as special case for the power . It is shown that the most accurate estimate is in this...
Generalized Jensen difference based on entropy functions
Generalized minimizers of convex integral functionals, Bregman distance, Pythagorean identities
Integral functionals based on convex normal integrands are minimized subject to finitely many moment constraints. The integrands are finite on the positive and infinite on the negative numbers, strictly convex but not necessarily differentiable. The minimization is viewed as a primal problem and studied together with a dual one in the framework of convex duality. The effective domain of the value function is described by a conic core, a modification of the earlier concept of convex core. Minimizers...
Generalized relative information and information inequalities.