ON AXIOMATIC CHARACTERISATION OF GENERALIZED QUALITATIVE MEASURE OF VARIATION OF INFORMATION THROUGH GENERATING FUNCTION

Authors

  • R. P. Singh Mathematics Department, L.R. College, Sahibabad, (Ghaziabad) - 201005, INDIA.
  • J. D. Bhardwaj Directorate of Education, Delhi Administration, INDIA.

DOI:

https://doi.org/10.5556/j.tkjm.21.1990.4685

Keywords:

generalized qualitative measure of variation of information, generating function

Abstract

The aim of the present contribution is to define a generalized qual- itative measure of variation of information through generating function and to characterize it axiomatically. In this sequence the generaliz.ed qualitative measure of information improvexnent as the difference of generalized measure of information of variation defined earlier is also defined. Most of the measures studied so far thus turns out to be particular ones. Some basic applicative properties are discussed.

References

Aczel, J., "Lectures on Functional Equations and their Applications" Academic Press, New York (1966).

Belis and Guiasu, "A quantitative- qualitative measure of information in cybernatics systems", IEEE Trans.Inform. Theory, 14:593-594 (1968).

Golombs, S., "The information gen~rating function of a probability distribution", IEEE Trans. Theory. IT-12, 75-77 (1966).

Guiasu, S., "The Relative Information generating function", Information Sciences, 35 : 235-241, (1985).

Kapur, J.N., "New Measures of Information Improvement", JCISS Vol.11 (I) 39-46 (1986).

Kapur,J.N., "On Entropy and directed divergence of order alpha and type beta" Advance in Management Studies, Vol.3 (3-4 ) 129-144.

Kullback-Leibler, "On Information and Sufficiency" Ann. Math. Statist. 22, 79-86 (1951).

Longo G., "Quantitative Qualitative Measure of Information" Springer, New York (1972).

Taneja, H.C., "On the quantitative-qualitative measure of relative information", Information Sciences, 33 : 223-227 (1984).

Taneja, I.J., "On Characterization of Generalized Information Measures" JCISS Vol.9 (3) 169-174, (1984).

Taneja, I.J., "A joint chacacterization of directed divergence, inaccuracy and their generalization. J. Statist. Phys. 11 (2) , 169-172, (1975).

Taneja, I.J ., "On an axiomatic chacacterization of information improvement and its generalization", J.CISS : 1 (12) 69-79 (1976).

Singh, R.P. and Bhardwaj, J.D., "On weighted Information Improvement" (Communicated).

Singh, R.P. and Bhardwaj, J.D., "On qualitative measure of variation of information of type beta" (Communicated).

-----, "On parametric Weighted information Improvement" (To appear in Information Sciences).

Theil, H,-"Economics and Information Theory". North Holland and Amsterdam. (1967).

Singh, R. P. and Bhardwaj J. D., "Characterization of weighted Information Improvement due to 2 and finite subsequent revisions". (To appear in Information Sciences).

Downloads

Published

1990-12-01

How to Cite

Singh, R. P., & Bhardwaj , J. D. (1990). ON AXIOMATIC CHARACTERISATION OF GENERALIZED QUALITATIVE MEASURE OF VARIATION OF INFORMATION THROUGH GENERATING FUNCTION. Tamkang Journal of Mathematics, 21(4), 365–376. https://doi.org/10.5556/j.tkjm.21.1990.4685

Issue

Section

Papers