par Patra, Manas Kumar ;Braunstein, Samuel S.L.
Référence IMA journal of mathematical control and information, 30, 2, page (205-238)
Publication Publié, 2013-06
Article révisé par les pairs
Résumé : 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. © The authors 2012. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.