Loading... Mathematical Foundations of Information Theory (1953)by A. Ya. Khinchin
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Amazon.com Product Description (ISBN 0486604349, Paperback)The first comprehensive introduction to information theory, this text explores the work begun by Shannon and continued by McMillan, Feinstein, and Khinchin. Its rigorous treatment addresses the entropy concept in probability theory and fundamental theorems as well as ergodic sources, the martingale concept, anticipation and memory, and other subjects. 1957 edition. (retrieved from Amazon Thu, 12 Mar 2015 18:13:21 -0400) The first comprehensive introduction to information theory, this text explores the work begun by Shannon and continued by McMillan, Feinstein, and Khinchin. Its rigorous treatment addresses the entropy concept in probability theory and fundamental theorems as well as ergodic sources, the martingale concept, anticipation and memory, and other subjects. 1957 edition.… (more) |
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"The Entropy Concept in Probability Theory" handler om ???
" 1. Entropy of Finite Schemes" handler om ???
" 2. The Uniqueness Theorem" handler om ???
" 3. Entropy of Markov chains" handler om ???
" 4. Fundamental Theorems" handler om ???
" 5. Application to Coding Theory" handler om ???
"On the Fundamental Theorems of Information Theory" handler om ???
" Introduction" handler om ???
" Chapter I. Elementary Inequalities" handler om ???
" 1. Two generalizations of Shannon's inequality" handler om ???
" 2. Three inequalities of Feinstein" handler om ???
" Chapter II. Ergodic Sources" handler om ???
" 3. Concept of a source. Stationarity. Entropy" handler om ???
" 4. Ergodic Sources" handler om ???
" 5. The E property. McMillan's theorem" handler om ???
" 6. The martingale concept. Doob's theorem" handler om ???
" 7. Auxiliary proposisions" handler om ???
" 8. Proof of McMillan's theorem" handler om ???
" Chapter III. Channels and the sources driving them" handler om ???
" 9. Concept of channel. Noise. Stationarity. Anticipation and memory" handler om ???
" 10. Connection of the channel to the source" handler om ???
" 11. The ergodic case" handler om ???
" Chapter IV. Feinstein's Fundamental Lemma" handler om ???
" 12. Formulation of the problem" handler om ???
" 13. Proof of the lemma" handler om ???
" Chapter V. Shannon's Theorems" handler om ???
" 14. Coding" handler om ???
" 15. The first Shannon theorem" handler om ???
" 16. The second Shannon theorem." handler om ???
"Conclusion" handler om ???
"References" handler om ???
Informationsteori som matematisk disciplin. Doob, Feinstein og Shannon. ( )