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Information Measures

The concept of information is so rich that there exist various definitions of information measures. Kolmogorov had proposed three methods for defining an information measure: probabilistic method, combinatorial method, and computational method [146]. Accordingly, information measures can be categorized into three categories: probabilistic information (or statistical information), combinatory information, and algorithmic information. This book focuses mainly on statistical information, which was first conceptualized by Shannon [44]. As a branch of mathematical statistics, the establishment of Shannon information theory lays down a mathematical framework for designing optimal communication systems. The core issues in Shannon ...

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