[1] E. F. Beckenbach, R. Bellman:
Inequalities. Springer-Verlag, Berlin - Heidelberg - New York 1971.
MR 0192009 |
Zbl 0206.06802
[2] J. Burbea, C. R. Rao:
Entropy differential metric, distance and divergence measures in probability spaces: a unified approach. J. Multivariate Analysis 12 (1982), 575-596.
MR 0680530 |
Zbl 0526.60015
[3] J. Burbea, C. R. Rao:
On the convexity of some divergence measures based on entropy functions. IEEE Trans. Inform. Theory IT-2S (1982), 489-495.
MR 0672884 |
Zbl 0479.94009
[5] J.N. Kapur:
Entropic measures of economic inequality. Indian J. Pure Appl. Math. 17 (1986), 3, 273-285.
MR 0835340
[6] J. N. Kapur:
On measures of divergence based on Jensen difference. Nat. Acad. Sci. Lett. 11 (1988), 1, 23-27.
MR 0968334
[7] S. Kullback, A. Leibler:
On the information and sufficiency. Ann. Math. Statist. 22 (1951), 79-86.
MR 0039968
[8] A. W. Marshall, I. Olkin: Inequalities:
Theory of Majorization and its Applications. Academic Press, New York 1979.
MR 0552278
[9] T. K. Nayak: Applications of Entropy Functions in Measurement and Analysis of Diversity. Ph. D.Thesis, Univ. of Pittsburg 1983.
[10] T. K. Nayak, J. L. Gastwirth: The use of diversity analysis to assess the relative influence of factors affecting the income distributions. J. Business \& Economic Statist. 7 (1989), 4, 453-460.
[11] G. P. Patil, C. Taillie:
Diversity as a concept and its measurement. J. Amer. Statist. Assoc. 7 (1982), 1, 548-567.
MR 0675883 |
Zbl 0511.62113
[12] C. R. Rao:
Diversity and dissimilarity coefficients: a unified approach. J. Theoret. Popul. Biology 21 (1982), 24-43.
MR 0662520 |
Zbl 0516.92021
[13] P.N. Rathie, I.J. Taneja:
Unified $(r,s)$-entropy and its bivariate measures. Inform. Sci. 45 (1990), 114-121.
MR 1079200
[14] A. Renyi:
On measures of entropy and information. In: Proc. 4th Berkeley Symp. Math. Statist. Prob. 1 (1961), 547-561.
MR 0132570 |
Zbl 0106.33001
[15] P. K. Sahoo, A.K.C. Wong:
Generalized Jensen difference based on entropy functions. Kybernetika 24 (1988), 4, 241-250.
MR 0961558 |
Zbl 0667.62003
[16] C. E. Shannon:
A mathematical theory of communication. Bell System Tech. J. 27 (1948), 379-423.
MR 0026286 |
Zbl 1154.94303
[17] B.D. Sharma, D.P. Mittal:
New non-additive measures of relative information. J. Combin. Inform. System Sci. 2 (1977), 122-133.
MR 0476167 |
Zbl 0439.94006
[19] I.J. Taneja:
Unified measures of information applied to Markov chains and sufficiency. J. Combin. Inform. System Sci. 11 (1986), 99-109.
MR 0966074
[20] I.J. Taneja: On generalized information measures and their applications. Ad. Electronics and Electron Physics 76 (1989), 327-413.
[21] I. J. Taneja L. Pardo D. Morales, M. L. Menendez:
On generalized information and divergence measures and their applications: a brief review. Qüestiió 18 (1989), 47-74.
MR 1093611
[22] I.J. Taneja L. Pardo, M.L. Menendez: Generalized divergence measures and the probability of error. Communicated.
[23] H. Theil: Economics and Information Theory. North-Holland, Amsterdam 1967.
[24] H. Theil:
Statistical Decomposition Analysis. North-Holland, Amsterdam 1972.
Zbl 0263.62066