Generalization of a Pinsker problem

Generalization of a Pinsker problem A generalization of a Pinsker problem [1] on estimation of mutual information via variation is considered. We obtain some upper and lower bounds for the maximum of the absolute value of the difference between the mutual information of several random variables via variational distance between the probability distributions of these random variables. In some cases, these bounds are optimal. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Problems of Information Transmission Springer Journals

Generalization of a Pinsker problem

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Publisher
SP MAIK Nauka/Interperiodica
Copyright
Copyright © 2011 by Pleiades Publishing, Ltd.
Subject
Engineering; Communications Engineering, Networks; Systems Theory, Control; Information Storage and Retrieval; Electrical Engineering
ISSN
0032-9460
eISSN
1608-3253
D.O.I.
10.1134/S0032946011020037
Publisher site
See Article on Publisher Site

Abstract

A generalization of a Pinsker problem [1] on estimation of mutual information via variation is considered. We obtain some upper and lower bounds for the maximum of the absolute value of the difference between the mutual information of several random variables via variational distance between the probability distributions of these random variables. In some cases, these bounds are optimal.

Journal

Problems of Information TransmissionSpringer Journals

Published: Jul 14, 2011

References

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