On a Functional Equation Arising in Information Theory.
On a functional equation connected to sum form nonadditive information measures on an open domain (III).
This is a part of a recent program by a number of authors to study information measures on open domain. In this series, this paper is devoted to the study of the functional equation (2) on an open domain. This functional equation is connected to the weighted entropy and weighted entropy of degree a.
On a functional equation connected to sum form nonadditive information measures on an open domain. I.
On a functional equation in connection with information theory.
On a functional equation related to income inequality measures.
On a generalization of Shannon's random cipher result
On a generalization of sum form functional equation (I).
The Shannon entropy has the sum form ∑f(pi) with f(x) = -x logx (x belonging to [0,1]). This together with the property of additivity leads to the 'sum' functional equation...
On a generalization of sum form functional equation - V.
On a generalization of the sum form functional equation. VI
On a multiplace functional equation related to information measures and functions
On a sum form functional equation.
On a symmetric divergence measure and information inequalities.
On additive and non-additive measures of directed divergence
On an axiomatic characterization of entropy of order (theoretic measure)
On axiomatic characterization of entropy of type
On axiomatic characterization of information-theoretic measure type
On characterization of directed divergence of type through information equation
On characterization of useful information-theoretic measures
On dimensions of semimetrized measure spaces
On dispersion measures.
In this paper a new framework for the study of measures of dispersion for a class of n-dimensional lists is proposed. The concept of monotonicity with respect to a sharpened-type order is introduced. This type of monotonicity, together with other well known conditions, allows to create a reasonable and general ambit where the notion of dispersion measure can be studied. Some properties are analized and relations with other approaches carried out by different authors on this subject are established....