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Some New Information Inequalities Involving f-Divergences


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1. Ali, S. M., S. D. Silvey. A General Class of Coefficients of Divergence of One Distribution from Another. - Jour. Roy. Statist. Soc. Series B, Vol. 28, 1966, 131-142.10.1111/j.2517-6161.1966.tb00626.xSearch in Google Scholar

2. Bassat, M. B. f-Entropies, Probability of Error and Feature Selection. - Inform. Control, Vol. 39, 1978, 227-242.10.1016/S0019-9958(78)90587-9Search in Google Scholar

3. Chen, H. C. Statistical Pattern Recognition. Hoyderc Book Co., Rocelle Park, New York, 1973.Search in Google Scholar

4. Chow, C. K., C. N. Lin. Approximating Discrete Probability Distributions with Dependence Trees. - IEEE Trans. Inform. Theory, Vol. 14, 1968, No 3, 462-467.10.1109/TIT.1968.1054142Search in Google Scholar

5. Csiszár, I. Information - Type Measures of Difference of Probability Distributions and Indirect Observations. - Studia Sci. Math. Hungar., Vol. 2, 1967, 299-318.Search in Google Scholar

6. Csiszár, I. Information Measures: A Critical Survey. in Trans. - In: Seventh Prague Conf. on Information Theory, Academia, Prague, 1974, 73-86.Search in Google Scholar

7. Gokhale, D. V., S. Kullback. Information in Contingency Tables. New York, Marcel Dekker, 1978.Search in Google Scholar

8. Jones, L., C. Byrne. General Entropy Criteria for Inverse Problems, with Applications to Data Compression, Pattern Classification, and Cluster Analysis. - IEEE Trans. Inform. Theory, Vol. 36, 1990, 23-30.10.1109/18.50370Search in Google Scholar

9. Kadota, T. T., L. A. Shepp. On the Best Finite Set of Linear Observables for Discriminating Two Gaussian Signals. - IEEE Trans. Inform. Theory, Vol. 13, 1967, 288-294.10.1109/TIT.1967.1054013Search in Google Scholar

10. Kailath, T. The Divergence and Bhattacharyya Distance Measures in Signal Selection. - IEEE Trans. Comm. Technology, Vol. COM-15, 1967, 52-60.10.1109/TCOM.1967.1089532Search in Google Scholar

11. Kazakos, D., T. Cotsidas. A Decision Theory Approach to the Approximation of Discrete Probability Densities. - IEEE Trans. Perform. Anal. Machine Intell, Vol. 1, 1980, 61-67.10.1109/TPAMI.1980.4766971Search in Google Scholar

12. Kolmogorov, A. N. A New Invariant for Transitive Dynamical System. Dokl. Akad. Nauk. USSR, Vol. 119, 1957, 861-869.Search in Google Scholar

13. Kullback, S., A. S. Leibler. On Information and Sufficiency. - Ann. Math. Stat., Vol. 22, 1951, 79-86.10.1214/aoms/1177729694Search in Google Scholar

14. Österreicher, F. Csiszar’s f - Divergences - Basic Properties. Res. Report Collection, 2002. http://rgmia.vu.edu.au/monographs/csiszar.htmSearch in Google Scholar

15. Pearson, K. On the Criterion That a Given System of Deviations from the Probable in the Case of Correlated System of Variables in Such That It Can Be Reasonable Supposed to Have Arisen from Random Sampling. - Phil. Mag., 1900, 157-172.10.1080/14786440009463897Search in Google Scholar

16. Pielou, E. C. Ecological Diversity. New York, Wiley, 1975.Search in Google Scholar

17. Sibson, R. Information Radius. - Z. Wahrs. und Verw Geb., Vol. 14, 1969, 149-160.10.1007/BF00537520Search in Google Scholar

18. Theil, H. Economics and Information Theory. Amsterdam, North-Holland, 1967.Search in Google Scholar

19. Theil, H. Statistical Decomposition Analysis. Amsterdam, North-Holland, 1972.Search in Google Scholar

eISSN:
1314-4081
ISSN:
1311-9702
Language:
English
Publication timeframe:
4 times per year
Journal Subjects:
Computer Sciences, Information Technology