C*-algebraic generalization of relative entropy and entropy
Canonical distributions and phase transitions
Entropy maximization subject to known expected values is extended to the case where the random variables involved may take on positive infinite values. As a result, an arbitrary probability distribution on a finite set may be realized as a canonical distribution. The Rényi entropy of the distribution arises as a natural by-product of this realization. Starting with the uniform distributionon a proper subset of a set, the canonical distribution of equilibriumstatistical mechanics may be used to exhibit...
Cascaded Channels and the Equivocation Inequality.
Characterization of a density by minimizing the logarithmic information of degree
Characterization of a quantitative-qualitative measure of inaccuracy
Characterization of -entropy with preference
Characterizations of sum form information measures on open domains.
Coding theorems on generalized cost measure.
Conditional entropy and Rokhlin metric
Continued fractions and the fundamental equation of information.
Continuity and quantization of channels with infinite alphabets
Convexity inequalities for estimating generalized conditional entropies from below
Generalized entropic functionals are in an active area of research. Hence lower and upper bounds on these functionals are of interest. Lower bounds for estimating Rényi conditional -entropy and two kinds of non-extensive conditional -entropy are obtained. These bounds are expressed in terms of error probability of the standard decision and extend the inequalities known for the regular conditional entropy. The presented inequalities are mainly based on the convexity of some functions. In a certain...
Correction to “Extensions of the Shannon entropy to semimetrized measure spaces”