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Problemy Peredachi Informatsii, 2011, Volume 47, Issue 2, Pages 17–37
(Mi ppi2043)
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This article is cited in 3 scientific papers (total in 3 papers)
Information Theory
Generalization of a Pinsker problem
V. V. Prelov Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow
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.
Received: 18.01.2011
Citation:
V. V. Prelov, “Generalization of a Pinsker problem”, Probl. Peredachi Inf., 47:2 (2011), 17–37; Problems Inform. Transmission, 47:2 (2011), 98–116
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https://www.mathnet.ru/eng/ppi2043 https://www.mathnet.ru/eng/ppi/v47/i2/p17
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Abstract page: | 239 | Full-text PDF : | 76 | References: | 49 | First page: | 9 |
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