On measures of information and their characterizations, Volume 115 (Mathematics in Science and Engineering) - ISBN:0120437600

On measures of information and their characterizations, Volume 115 (Mathematics in Science and Engineering)

Date: 09 June 2011, 04:43

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In this book we shall deal with measures of information (the most important ones being called entropies), their properties, and, reciprocally, with questions concerning which of these properties determine known measures of information, and which are the most general formulas satisfying reasonable requirements on practical measures of information. To the best of our knowledge, this is the first book investigating this subject in depth. While applications, for instance in logical games and in coding theory, will be mentioned occasionally, we aim at giving sound foundations for these applications, for which there are several books available. We try to avoid, however, dealing with information measures that seem to have been introduced just for their own sakes, with no real applications and without really useful properties which would give hope for such applications in the future. (Of course, our judgments may occasionally prove to be inaccurate on both counts.)

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