On the Different Extensions of the Ergodic Theorem of Information Theory

Valerie Girardin ()
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Valerie Girardin: Université de Caen, Mathématiques, Campus II

A chapter in Recent Advances in Applied Probability, 2005, pp 163-179 from Springer

Abstract: Abstract The purpose of this paper is to review the different generalizations and extensions of the ergodic theorem of information theory in terms of reference measure, state space, index set and required properties (ergodicity, stationarity, etc.) of the process, from the original Shannon-McMillan-Breiman version to its latest developments.

Keywords: entropy; ergodic processes; semi-Markov processes; Markov processes; Asymptotic Equirepartition Property; ergodic theorem of information theory (search for similar items in EconPapers)
Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-0-387-23394-9_7

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DOI: 10.1007/0-387-23394-6_7

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