Entropy and Information Theory 2024 pdf epub mobi 电子书

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发表于2024-06-29

Entropy and Information Theory 2024 pdf epub mobi 电子书

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出版者:Springer

作者:Robert M. Gray

出品人:

页数:332

译者:

出版时间:1990

价格:89.95

装帧:Hardcover

isbn号码:9780387973715

丛书系列:

图书标签: 信息 complexity Complexity

Entropy and Information Theory 2024 pdf epub mobi 电子书图书描述

This book is devoted to the theory of probabilistic information measures and their application to coding theorems for information sources and noisy channels. The eventual goal is a general development of Shannon's mathematical theory of communication, but much of the space is devoted to the tools and methods required to prove the Shannon coding theorems. These tools form an area common to ergodic theory and information theory and comprise several quantitative notions of the information in random variables, random processes, and dynamical systems. Examples are entropy, mutual information, conditional entropy, conditional information, and discrimination or relative entropy, along with the limiting normalized versions of these quantities such as entropy rate and information rate. Much of the book is concerned with their properties, especially the long term asymptotic behavior of sample information and expected information. This is the only up-to-date treatment of traditional information theory emphasizing ergodic theory.

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