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Problemy Peredachi Informatsii, 2009, Volume 45, Issue 4, Pages 3–17 (Mi ppi1995)  
This article is cited in 5 scientific papers (total in 5 papers)

Information Theory

Mutual information of several random variables and its estimation via variation

V. V. Prelov

A. A. Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences
Full-text PDF (302 kB) Citations (5)
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Abstract: We obtain some upper and lower bounds for the maximum of mutual information of several random variables via variational distance between the joint distribution of these random variables and the product of its marginal distributions. In this connection, some properties of variational distance between probability distributions of this type are derived. We show that in some special cases estimates of the maximum of mutual information obtained here are optimal or asymptotically optimal. Some results of this paper generalize the corresponding results of [1–3] to the multivariate case.
Received: 12.05.2009
English version:
Problems of Information Transmission, 2009, Volume 45, Issue 4, Pages 295–308
DOI: https://doi.org/10.1134/S0032946009040012
Bibliographic databases:
Document Type: Article
UDC: 621.391.1+519.2
Language: Russian
Citation: V. V. Prelov, “Mutual information of several random variables and its estimation via variation”, Probl. Peredachi Inf., 45:4 (2009), 3–17; Problems Inform. Transmission, 45:4 (2009), 295–308
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Проблемы передачи информации Problems of Information Transmission
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    References:74
    First page:34
     
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