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On the information profile of three random variables with two outcomes

https://doi.org/10.22405/2226-8383-2024-25-4-27-41

Abstract

In this paper we consider mutual information for a pair of random variables and find a third variable (condition) that maximise conditional mutual information of three of them.

About the Author

Allan Olegovich Allemand
Lomonosov Moscow State University
Russian Federation

postgraduate student



References

1. Vereshchagin, N.K. 2023, “Lectures on Information Theory”.

2. Vereshchagin, N.K. and Shchepin, E.V. 2012 , “Information, Coding and Prediction”, Moscow: MCNMO.

3. Yaglom, A.M. and Yaglom, I.M. 1973, “Probability and Information”, Moscow: Nauka.

4. Chisar, I. and Kerner, Y. 1985, “Information Theory”, Moscow: Mir.

5. Cesa-Bianchi, N. and Lugosi, G. 2006, “Prediction, Learning, and Games”, Cambridge University Press.


Review

For citations:


Allemand A.O. On the information profile of three random variables with two outcomes. Chebyshevskii Sbornik. 2024;25(4):27-41. (In Russ.) https://doi.org/10.22405/2226-8383-2024-25-4-27-41

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ISSN 2226-8383 (Print)