On The Convexity of Higher Order Jensen Differences Based on Entropy Functions

IEEE Transactions on Information Theory

Volumn 28, Issue 6, 1982, Pages 961-963

  Burbea, Jacob ^a   Rao, C Radhakrishna ^a  

^a UNIVERSITY OF PITTSBURGH   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL TECHNIQUES;

EID: 0020205292     PISSN: 00189448     EISSN: 15579654     Source Type: Journal    
DOI: 10.1109/TIT.1982.1056573     Document Type: Article

References (10)

1. J. Aczel and Z. Daroczy, On Measures of Information and their Characterizations. New York: Academic, 1975.
2. J. Burbea and C. R. Rao, “On the convexity of some divergence measures based on entropy functions,” IEEE Trans. Inform. Theory, vol. 28, pp. 489-495, 1982.
3. R. G. Gallager, Information Theory and Reliable Communication. New York: Wiley, 1968.
4. C. Gini, “Variabilita e mutabilita,” Studi Economico-Giuridici della Facolta di Giurisprudenza dell Universita di Cagliari, a III, Parte II, 1912.
5. M. E. Havrda and F. Charvat, “Quantification method of classification processes; Concept of structural α-entropy,” Kybernetika, vol. 3, pp. 30-35, 1975.
6. C. R. Rao, Linear Statistical Inference and its Applications, 2nd ed. New York: John Wiley, 1973.
7. C. R. Rao, “Diversity and dissimilarity coefficients: A unified approach,” Theor. Pop. Biology, vol. 21, pp. 24-43, 1982.
8. C. R. Rao, “Analysis of diversity: A unified approach,” Tech. Rep. no. 81-22, University of Pittsburgh, 1981.
9. R. Sibson, “Information radius,” Z. Wahrscheinlichkeitstheorie und werw. Geb., vol. 14, pp. 149-160, 1969.
10. E. H. Simpson, “Measurement of diversity,” Nature, vol. 163, p. 688, 1949.