@article{KYB_1984_20_2_a5,
author = {Singh, R. P. and Khanna, R. K.},
title = {On characterization of directed divergence of type $\beta$ through information equation},
journal = {Kybernetika},
pages = {159--167},
year = {1984},
volume = {20},
number = {2},
mrnumber = {747066},
zbl = {0548.94009},
language = {en},
url = {http://geodesic.mathdoc.fr/item/KYB_1984_20_2_a5/}
}
Singh, R. P.; Khanna, R. K. On characterization of directed divergence of type $\beta$ through information equation. Kybernetika, Tome 20 (1984) no. 2, pp. 159-167. http://geodesic.mathdoc.fr/item/KYB_1984_20_2_a5/
[1] J. Aczel: Results on entropy equation. Bull. Acad. Polon. Sci. Sér. Sci. Math. 25 (1977), 12-17. | MR
[2] L. L. Campbell: Characterization of Entropy in Arbitrary Probability Spaces. Preprint No. 1970-32, Queen's University, Kingston, Ontario 1970.
[3] D. G. Gallager: Information Theory and Reliable Communication. John Wiley and Sons, New York 1968, 523-524. | Zbl
[4] A. Kamiński, J. Mikusiński: On the entropy equation. Bull. Acad. Polon. Sci. Sér. Sci. Math. 22 (1974), 319-323. | MR
[5] S. Kullback: Information Theory and Statistics. John Wiley and Sons, New York 1959. | MR | Zbl
[6] P. L. Kannappan, P. N. Rathie: An application of a functional equation to information theory. Ann. Polon. Math. XXVI (1972). | MR | Zbl
[7] D. F. Kerridge (1961): Inaccuracy and inference. J. Roy. Statist. Soc. Ser. A 23 (1961), 184-194. | MR
[8] P. N. Rathie, P. L. Kannappan: A directed divergence function of type $\beta$. Inform. and Control 20 (1972), 38-45. | MR | Zbl
[9] A. Rényi: On measures of entropy and information. Proc. Fourth Berkeley Symposium Math. Statist. and Probability 1 (1961), 547-561. | MR
[10] B. D. Sharma, Ram Autar: Relative information functions and their type $(\alpha, \beta)$ generalizations. Metrika.27 (1974), 41-50. | MR
[11] B. D. Sharma, R. S. Soni: A new generalized functional equation for inaccuracy and entropy of kind $\beta$. Funkcial. Ekvac. 17 (1974), 1-11. | MR | Zbl
[12] H. Theil: Economics and Information Theory. North-Holland, Amsterdam 1967.