An algebraic framework for information theory: classical information

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This work proposes a complete algebraic model for classical information theory. As a precursor the essential probabilistic concepts have been defined and analysed in the algebraic setting. Examples from probability and information theory demonstrate that in addition to theoretical insights provided by the algebraic model one obtains new computational and analytical tools. Several important theorems of classical probability and information theory are formulated and proved in the algebraic framework.
Original languageEnglish
Pages (from-to)205-238
Number of pages34
JournalIMA Journal of Mathematical Control and Information
Issue number2
Publication statusPublished - Jun 2013

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