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

Abstract

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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.

How to cite

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Taneja, 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

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

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