# On generalized measures of relative information and inaccuracy

Inder Jeet Taneja; H. C. Gupta

Aplikace matematiky (1978)

- Volume: 23, Issue: 5, page 317-333
- ISSN: 0862-7940

## Access Full Article

top## Abstract

top## How to cite

topTaneja, Inder Jeet, and Gupta, H. C.. "On generalized measures of relative information and inaccuracy." Aplikace matematiky 23.5 (1978): 317-333. <http://eudml.org/doc/15062>.

@article{Taneja1978,

abstract = {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.},

author = {Taneja, Inder Jeet, Gupta, H. C.},

journal = {Aplikace matematiky},

keywords = {generalized measures of relative information; inaccuracy; Generalized Measures of Relative Information; Inaccuracy},

language = {eng},

number = {5},

pages = {317-333},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {On generalized measures of relative information and inaccuracy},

url = {http://eudml.org/doc/15062},

volume = {23},

year = {1978},

}

TY - JOUR

AU - Taneja, Inder Jeet

AU - Gupta, H. C.

TI - On generalized measures of relative information and inaccuracy

JO - Aplikace matematiky

PY - 1978

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 23

IS - 5

SP - 317

EP - 333

AB - 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.

LA - eng

KW - generalized measures of relative information; inaccuracy; Generalized Measures of Relative Information; Inaccuracy

UR - http://eudml.org/doc/15062

ER -

## References

top- Campbell L. L. (1970), 10.1016/S0019-9958(72)90568-2, - Information and Control, 21, 329-338. MR0323447DOI10.1016/S0019-9958(72)90568-2
- Gallager R. G. (1968), Information Theory and Reliable Communication, - J. Wiley and Sons, Inc., N. Y.
- Hobson A. (1969), 10.1007/BF01106578, - J. Stat. Phys., 1, 383-391. MR0321609DOI10.1007/BF01106578
- Kerridge D. F. (1961), Inaccuracy and inference, - J. Royal Stat. Soc., Ser. B 23 (1), 184 to 194. MR0123375
- Kullback S. (1968), Information Theory and Statistics, - Dover Publi., Inc., N. Y. MR1461541
- Rathie P. N., Pl. Kannappan (1972), A Direct-Divergence Function of Type $\beta $, - Infor- mation and Control. 22, 38 - 45. MR0414234
- Sharma B. D., R. Autar (1973), 10.2307/3212366, - J. Appl. Prob. 10 464-468. MR0389406DOI10.2307/3212366
- Sharma B. D., R. Autar (1974), 10.1007/BF01893891, - Metrika, 21, 41 - 50. MR0363704DOI10.1007/BF01893891
- Sharma B. D., H. C. Gupta (1976), Sub-additive Measures of Relative Information and Inaccuracy, - Metrika, Vol. 23, 155-165. MR0437211
- Sharma B. D., I. J. Taneja (1974), 10.1007/BF01012255, - J. Stat. Phys., 10, 337-346. MR0403809DOI10.1007/BF01012255
- Sharma B. D., I. J. Taneja (1975), 10.1007/BF01899728, - Metrika, 22 (4), 205 - 215. MR0398670DOI10.1007/BF01899728
- Taneja I. J. (1974), 10.1007/BF01012518, - J. Statist. Phys., 11, 169-174. MR0387861DOI10.1007/BF01012518
- Taneja I. J. (1976), 10.1007/BF01023628, - J. Statist. Phys., 14, 263 - 270. MR0403811DOI10.1007/BF01023628

## Citations in EuDML Documents

top## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.