Abstract Methods in Information Theory 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024


Abstract Methods in Information Theory

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Kakihara, Yuichiro 作者
译者
1999-9 出版日期
220 页数
166.00元 价格
丛书系列
9789810237110 图书编码

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Abstract Methods in Information Theory 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

Abstract Methods in Information Theory 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

Abstract Methods in Information Theory 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024



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Information Theory is studied from the following view points: (1) the theory of entropy as amount of information; (2) the mathematical structure of information sources (probability measures); and (3) the theory of information channels. Shannon entropy and Kolmogorov-Sinai entropy are defined and their basic properties are examined, where the latter entropy is extended to be a linear functional on a certain set of measures. Ergodic and mixing properties of stationary sources are studied as well as AMS (asymptotically mean stationary) sources. The main purpose of this book is to present information channels in the environment of real and functional analysis as well as probability theory. Ergodic channels are characterized in various manners. Mixing and AMS channels are also considered in detail with some illustrations. A few other aspects of information channels including measurability, approximation and noncommutative extensions, are also discussed.

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