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Cited by 742

The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.

Information theoretic inequalities

Dembo, A., Cover, T.M., Thomas, J.A.·1991·IEEE Transactions on Information Theory
DOI 10.1109/18.104312
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Abstract

The role of inequalities in information theory is reviewed, and the relationship of these inequalities to inequalities in other branches of mathematics is developed. The simple inequalities for differential entropy are applied to the standard multivariate normal to furnish new and simpler proofs of the major determinant inequalities in classical mathematics. The authors discuss differential entropy inequalities for random subsets of samples. These inequalities when specialized to multivariate normal variables provide the determinant inequalities that are presented. The authors focus on the entropy power inequality (including the related Brunn-Minkowski, Young's, and Fisher information inequalities) and address various uncertainty principles and their interrelations.>

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Metadata

Authors
Dembo, A., Cover, T. M., & Thomas, J. A.
Venue
IEEE Transactions on Information Theory
Publisher
Institute of Electrical and Electronics Engineers (IEEE)
Published
1991
Volume
37
Issue
6
Pages
1501-1518
ISSN
0018-9448 (ISSN-L)
DOI
10.1109/18.104312
OpenAlex
W2056129277
Cited by
742
References
1
FWCI
3.72
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: Information theoretic inequalities. https://app.cochat.ai/papers/10.1109/18.104312
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Dembo, A., Cover, T. M., & Thomas, J. A. (1991). Information theoretic inequalities. IEEE Transactions on Information Theory. https://doi.org/10.1109/18.104312

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.