On the branching property of entropy
On axiomatic characterization of entropy of type
On generalized measures of relative information and inaccuracy
Kullback's relative information and Kerridge's inaccuracy are two information-theoretic measures associated with a pair of probability distributions of a discrete random variable. The authors study a generalized measure which in particular contains a parametric generalization of relative information and inaccuracy. Some important properties of this generalized measure along with an inversion theorem are also studied.
On weighted entropy of type and its generalizations
Belis and Guiasu studied a generalization of Shannon entropy as weighted or useful entropy. In this paper, the weighted entropy of type is defined and characterized and some if its properties are studied. Further generalizations involving more parameters of weighted entropy are also specified.
An algorithm for calculating the channel capacity of degree
On axiomatic characterization of information-theoretic measure type
On generalized information and divergence measures and their applications: a brief review.
The aim of this review is to give different two-parametric generalizations of the following measures: directed divergence (Kullback and Leibler, 1951), Jensen difference divergence (Burbea and Rao 1982 a,b; Rao, 1982) and Jeffreys invariant divergence (Jeffreys, 1946). These generalizations are put in the unified expression and their properties are studied. The applications of generalized information and divergence measures to comparison of experiments and the connections with Fisher information...
Some statistical inferences regarding population diversity in terms of the hypoentropy measure.
We consider a measure of the diversity of a population based on the λ-measure of hypoentropy introduced by Ferreri (1980). Our purpose is to study its asymptotic distribution for testing hypotheses. A numerical example based on real data is given.
-information radius of type and comparison of experiments
Various information, divergence and distance measures have been used by researchers to compare experiments using classical approaches such as those of Blackwell, Bayesian ets. Blackwell's [1] idea of comparing two statistical experiments is based on the existence of stochastic transformations. Using this idea of Blackwell, as well as the classical bayesian approach, we have compared statistical experiments by considering unified scalar parametric generalizations of Jensen difference divergence measure....
On -dimensional unified -Jensen difference divergence measures and their applications
-measures of hypoentropy and comparison of experiments: Blackwell and Lehmann approach
Generalized relative information and information inequalities.
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