Student or educator? Sign up with your school email and get 6 months of Pro free.
Cited by 423

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

On the convexity of some divergence measures based on entropy functions

Burbea, J., Rao, C.·1982·IEEE Transactions on Information Theory

Abstract

Three measures of divergence between vectors in a convex set of an-dimensional real vector space are defined in terms of certain types of entropy functions, and their convexity property is studied. Among other results, a classification of the entropies of degree\alphais obtained by the convexity of these measures. These results have applications in information theory and biological studies.

Overview

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Integrity signals

Registry

Crossref · 10.1109/tit.1982.1056497

Cites

1 of 1 references verified0 citation errors · 0 not checkable

Statistics

Verification

Claims the paper makes

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Self-check

Percentages, sums and reported differences re-computed from the paper’s own numbers.

The self-check needs the paper’s full text.

Citations

Cites

Show all 1 references

Cited by

See all 423

Metadata

Authors
Burbea, J., & Rao, C.
Venue
IEEE Transactions on Information Theory
Published
1982-05
Volume
28
Issue
3
Pages
489-495
ISSN
  • 0018-9448 (ISSN-L)
  • 1557-9654
OpenAlex
W2070134780
Cited by
423
References
1
FWCI
5.02
Type
journal article
Language
en
Open access
closed

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

Statistics and arithmetic are recomputed, not judged.

Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

What counts as a claim ›How we measure confidence ›How we check this ›

Are you an author, or do you see a problem with this page? Request a review

How to cite

Cite CoChat for the checks on this page, and the paper for its own findings.

This page
CoChat. (2026). Citation check: On the convexity of some divergence measures based on entropy functions. https://app.cochat.ai/papers/10.1109/tit.1982.1056497
The paper
Burbea, J., & Rao, C. (1982). On the convexity of some divergence measures based on entropy functions. IEEE Transactions on Information Theory. https://doi.org/10.1109/tit.1982.1056497

Data sources

Bibliographic data: Semantic Scholar, OpenAlex, Crossref.

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.