The DOI matches its Crossref record; 11 of the 11 references it cites were found in a registry or an index.
Entropy differential metric, distance and divergence measures in probability spaces: A unified approach
Open accessAbstract
The paper is devoted to metrization of probability spaces through the introduction of a quadratic differential metric in the parameter space of the probability distributions. For this purpose, a [phi]-entropy functional is defined on the probability space and its Hessian along a direction of the tangent space of the parameter space is taken as the metric. The distance between two probability distributions is computed as the geodesic distance induced by the metric. The paper also deals with three measures of divergence between probability distributions and their interrelationships.
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Citations
Cites
A Mathematical Theory of Communication
Shannon, C. E. (1948) · Bell System Technical Journal · doi:10.1002/j.1538-7305.1948.tb01338.x · Cited by 88,486
On Information and Sufficiency
Kullback, S., & Leibler, R. A. (1951) · The Annals of Mathematical Statistics · doi:10.1214/aoms/1177729694 · Cited by 20,193
Theory of Statistical Estimation
Fisher, R. A. (1925) · Mathematical Proceedings of the Cambridge Philosophical Society · doi:10.1017/s0305004100009580 · Cited by 2,869
A Mathematical Theory of Communications
Shannon, C. E. (1948) · Cited by 2,080
Information and the Accuracy Attainable in the Estimation of Statistical Parameters
Rao, C. R. (1992) · Springer Series in Statistics · doi:10.1007/978-1-4612-0919-5_16 · Cited by 1,808
Self-citationDiversity and dissimilarity coefficients: A unified approach
Rao, C. R. (1982) · Theoretical Population Biology · doi:10.1016/0040-5809(82)90004-1 · Cited by 1,760
Self-citation(1967) · Cited by 853
Hyperbolic Manifolds and Holomorphic Mappings.
Allendoerfer, C. B., & Kobayashi, S. (1972) · American Mathematical Monthly · doi:10.2307/2316645 · Cited by 559
On the convexity of some divergence measures based on entropy functions
Burbea, J., & Rao, C. (1982) · IEEE Transactions on Information Theory · doi:10.1109/tit.1982.1056497 · Cited by 423
Self-citationDecision Rules, Based on the Distance, for Problems of Fit, Two Samples, and Estimation
Matusita, K. (1955) · The Annals of Mathematical Statistics · doi:10.1214/aoms/1177728422 · Cited by 309
Cited by
Riemann manifold langevin and hamiltonian monte carlo methods
Girolami, M., & Calderhead, B. (2011) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.1467-9868.2010.00765.x · Cited by 1,473
Large sample theory of intrinsic and extrinsic sample means on manifolds
Bhattacharya, R., & Patrangenaru, V. (2003) · The Annals of Statistics · doi:10.1214/aos/1046294456 · Cited by 401
Metadata
- Authors
- Burbea, J., & Rao, C. R.
- Venue
- Journal of Multivariate Analysis
- Publisher
- Elsevier BV
- Published
- 1982-12
- Volume
- 12
- Issue
- 4
- Pages
- 575-596
- ISSN
- 0047-259X (ISSN-L)
- OpenAlex
- W1993087762
- Cited by
- 274
- References
- 11
- FWCI
- 2.73
- Type
- journal article
- Language
- en
- Open access
- bronze
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- CoChat. (2026). Citation check: Entropy differential metric, distance and divergence measures in probability spaces: A unified approach. https://app.cochat.ai/papers/10.1016/0047-259x(82)90065-3
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- Burbea, J., & Rao, C. R. (1982). Entropy differential metric, distance and divergence measures in probability spaces: A unified approach. Journal of Multivariate Analysis. https://doi.org/10.1016/0047-259x(82)90065-3
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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.
