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On capacity regions of discrete asynchronous multiple access channels

Lóránt Farkas, Tamás Kói (2014)

Kybernetika

A general formalization is given for asynchronous multiple access channels which admits different assumptions on delays. This general framework allows the analysis of so far unexplored models leading to new interesting capacity regions. The main result is the single letter characterization of the capacity region in case of 3 senders, 2 synchronous with each other and the third not synchronous with them.

On generalized measures of relative information and inaccuracy

Inder Jeet Taneja, H. C. Gupta (1978)

Aplikace matematiky

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 solution sets of information inequalities

Nihat Ay, Walter Wenzel (2012)

Kybernetika

We investigate solution sets of a special kind of linear inequality systems. In particular, we derive characterizations of these sets in terms of minimal solution sets. The studied inequalities emerge as information inequalities in the context of Bayesian networks. This allows to deduce structural properties of Bayesian networks, which is important within causal inference.

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