Article
Full entry |
PDF
(2.2 MB)
Feedback
PDF
(2.2 MB)
Feedback
Keywords:
generalized measures of relative information; inaccuracy
generalized measures of relative information; inaccuracy
Summary:
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.
References:
[1] Campbell L. L. (1970): Characterization of Entropy of Probability Distribution on the Real Line. - Information and Control, 21, 329-338. DOI 10.1016/S0019-9958(72)90568-2 | MR 0323447
[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 10.1007/BF01106578 | MR 0321609
[4] Kerridge D. F. (1961): Inaccuracy and inference. - J. Royal Stat. Soc., Ser. B 23 (1), 184 to 194. MR 0123375
[5] Kullback S. (1968): Information Theory and Statistics. - Dover Publi., Inc., N. Y. MR 1461541
[6] Rathie P. N., Pl. Kannappan (1972): A Direct-Divergence Function of Type $\beta$. - Infor- mation and Control. 22, 38 - 45. MR 0414234
[7] Sharma B. D., R. Autar (1973): On Characterization of a Generalized Inaccuracy Measure in Information Theory. - J. Appl. Prob. 10 464-468. DOI 10.2307/3212366 | MR 0389406
[8] Sharma B. D., R. Autar (1974): Relative-Information Functions and Their Type ($\alpha$, $\beta$) Generalizations. - Metrika, 21, 41 - 50. DOI 10.1007/BF01893891 | MR 0363704
[9] Sharma B. D., H. C. Gupta (1976): Sub-additive Measures of Relative Information and Inaccuracy. - Metrika, Vol. 23, 155-165. MR 0437211
[10] Sharma B. D., I. J. Taneja (1974): On Axiomatic Characterization of Information Theoretic Measures. - J. Stat. Phys., 10, 337-346. DOI 10.1007/BF01012255 | MR 0403809
[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 10.1007/BF01899728 | MR 0398670
[12] Taneja I. J. (1974): A Joint Characterization of Directed Divergence, Inaccuracy, and Their Generalizations. - J. Statist. Phys., 11, 169-174. DOI 10.1007/BF01012518 | MR 0387861
[13] Taneja I. J. (1976): On Measures of Information and Inaccuracy. - J. Statist. Phys., 14, 263 - 270. DOI 10.1007/BF01023628 | MR 0403811
Search
Partner of
