Geodesic
On generalized measures of relative information and inaccuracy
Applications of Mathematics, Tome 23 (1978) no. 5, pp. 317-333
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Kullback's relative information and Kerridge's inaccuracy are two information-theoretic measures associated with a pair of probability distributions of a discrete random variable. The authors study a generalized measure which in particular contains a parametric generalization of relative information and inaccuracy. Some important properties of this generalized measure along with an inversion theorem are also studied.
Kullback's relative information and Kerridge's inaccuracy are two information-theoretic measures associated with a pair of probability distributions of a discrete random variable. The authors study a generalized measure which in particular contains a parametric generalization of relative information and inaccuracy. Some important properties of this generalized measure along with an inversion theorem are also studied.
DOI : 10.21136/AM.1978.103759
Classification : 94A15, 94A17
Keywords: generalized measures of relative information; inaccuracy 
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Taneja, Inder Jeet; Gupta, H. C. On generalized measures of relative information and inaccuracy. Applications of Mathematics, Tome 23 (1978) no. 5, pp. 317-333. doi: 10.21136/AM.1978.103759

[1] Campbell L. L. (1970): Characterization of Entropy of Probability Distribution on the Real Line. - Information and Control, 21, 329-338. | DOI | MR

[2] Gallager R. G. (1968): Information Theory and Reliable Communication. - J. Wiley and Sons, Inc., N. Y.

[3] Hobson A. (1969): A New Theorem of Information Theory. - J. Stat. Phys., 1, 383-391. | DOI | MR

[4] Kerridge D. F. (1961): Inaccuracy and inference. - J. Royal Stat. Soc., Ser. B 23 (1), 184 to 194. | MR

[5] Kullback S. (1968): Information Theory and Statistics. - Dover Publi., Inc., N. Y. | MR

[6] Rathie P. N., Pl. Kannappan (1972): A Direct-Divergence Function of Type $\beta$. - Infor- mation and Control. 22, 38 - 45. | MR

[7] Sharma B. D., R. Autar (1973): On Characterization of a Generalized Inaccuracy Measure in Information Theory. - J. Appl. Prob. 10 464-468. | DOI | MR

[8] Sharma B. D., R. Autar (1974): Relative-Information Functions and Their Type ($\alpha$, $\beta$) Generalizations. - Metrika, 21, 41 - 50. | DOI | MR

[9] Sharma B. D., H. C. Gupta (1976): Sub-additive Measures of Relative Information and Inaccuracy. - Metrika, Vol. 23, 155-165. | MR

[10] Sharma B. D., I. J. Taneja (1974): On Axiomatic Characterization of Information Theoretic Measures. - J. Stat. Phys., 10, 337-346. | DOI | MR

[11] Sharma B. D., I. J. Taneja (1975): Entropy of Type ($\alpha$, $\beta$) and Other Generalized Measures in Information Theory. - Metrika, 22 (4), 205 - 215. | DOI | MR

[12] Taneja I. J. (1974): A Joint Characterization of Directed Divergence, Inaccuracy, and Their Generalizations. - J. Statist. Phys., 11, 169-174. | DOI | MR

[13] Taneja I. J. (1976): On Measures of Information and Inaccuracy. - J. Statist. Phys., 14, 263 - 270. | DOI | MR

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