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Mathematical Foundations of Information Theory: The entropy concept in probability theory. 2. On the fundamental theorems of information theory 🔍
Aleksandr Yakovlevich Khinchin Dover Publications, Incorporated, Dover Books on Mathematics, 1st, 1957
英语 [en] · DJVU · 1.8MB · 1957 · 📘 非小说类图书 · 🚀/lgli/lgrs/nexusstc/zlib · Save
描述
The first comprehensive introduction to information theory, this book places the work begun by Shannon and continued by McMillan, Feinstein, and Khinchin on a rigorous mathematical basis. For the first time, mathematicians, statisticians, physicists, cyberneticists, and communications engineers are offered a lucid, comprehensive introduction to this rapidly growing field.
In his first paper, Dr. Khinchin develops the concept of entropy in probability theory as a measure of uncertainty of a finite “scheme,” and discusses a simple application to coding theory. The second paper investigates the restrictions previously placed on the study of sources, channels, and codes and attempts “to give a complete, detailed proof of both ... Shannon theorems, assuming any ergodic source and any stationary channel with a finite memory.”
Partial Contents: I. The Entropy Concept in Probability Theory — Entropy of Finite Schemes. The Uniqueness Theorem. Entropy of Markov chains. Application to Coding Theory. II. On the Fundamental Theorems of Information Theory — Two generalizations of Shannon’s inequality. Three inequalities of Feinstein. Concept of a source. Stationarity. Entropy. Ergodic sources. The E property. The martingale concept. Noise. Anticipation and memory. Connection of the channel to the source. Feinstein’s Fundamental Lemma. Coding. The first Shannon theorem. The second Shannon theorem.
备用文件名
lgli/A. Ya. Khinchin - Mathematical Foundations of Information Theory (Dover) 1st _1957 - 0486604349.djvu
备用文件名
lgrsnf/A. Ya. Khinchin - Mathematical Foundations of Information Theory (Dover) 1st _1957 - 0486604349.djvu
备用文件名
zlib/Computers/Computer Science/A. Ya. Khinchin/Mathematical Foundations of Information Theory_3361174.djvu
备选标题
Mathematical Foundations of Information Theory (Dover Books on Mathematics)
备选作者
Aleksandr I͡Akovlevich Khinchin
备选作者
Aleksandr Jakovlevič Chinčin
备选作者
Khinchin, A. Ya.
备用出版商
Athenaeum of Philadelphia
备用版本
Dover books on mathematics, New Dover edition, New York, 1957
备用版本
United States, United States of America
备用版本
INscribe Digital, [N.p.], 2013
备用版本
1st Dover Edition, US, 1957
备用版本
New York, c 1957
备用版本
New York, 2002
元数据中的注释
0
元数据中的注释
lg2119415
元数据中的注释
{"edition":"1","isbns":["0486604349","9780486604343"],"last_page":128,"publisher":"Dover Publications","series":"Dover Books on Mathematics"}
备用描述
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. 
开源日期
2017-09-25
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