Asymptotic results about the value of information. Third asymptotic theorem

Roman V. Belavkin, Panos M. Pardalos, Jose C. Principe and Ruslan L. Stratonovich
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Roman V. Belavkin: Middlesex University, Faculty of Science and Technology
Panos M. Pardalos: University of Florida, Industrial and Systems Engineering
Jose C. Principe: University of Florida, Electrical & Computer Engineering

Chapter Chapter 11 in Theory of Information and its Value, 2020, pp 353-390 from Springer

Abstract: Abstract The fact about asymptotic equivalence of the values of various types of information (Hartley’s, Boltzmann’s or Shannon’s information amounts) should be regarded as the main asymptotic result concerning the value of information, which holds true under very broad assumptions, such as the requirement of information stability. This fact cannot be reduced to the fact of asymptotically errorless information transmission through a noisy channel stated by the Shannon’s theorem (Chapter 7 ), but it is an independent and no less significant fact.

Date: 2020
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DOI: 10.1007/978-3-030-22833-0_11

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