A New Information Inequality and Its Application in Establishing Relation Among Various f-Divergence Measures

Beran R., Minimum Hellinger distance estimates for parametric models Ann. Statist.5 (1977), 445-46310.1214/aos/1176343842Search in Google Scholar

Bhattacharya A., Some analogues to amount of information and their uses in statistical estimation, Sankhya8 (1946) 1-14Search in Google Scholar

Burbea J., and C. R. Rao, On Convexity of Some Divergence measures based on entropy functions, IEEE Transe.on.inform.theory, IT-28 (1982),489-49510.1109/TIT.1982.1056497Search in Google Scholar

Csiszar I. Information measure, A critical servey. Trans.7^th prague conf.on info. Th. Statist. Decius. Funct, Random Processes and 8^th European meeting of statist Volume B. Acadmia Prague, 1978, PP-73-86Search in Google Scholar

Csiszar I., Information-type measures of difference of probability functions and indirect observations. studia Sci. Math. hunger. 2(1961). 299-318Search in Google Scholar

Dragomir S. S., Bounds of f-divergences under likelihood Ratio Constraints No.3, 205-223, 48(2003)10.1023/A:1026054413327Search in Google Scholar

Dragomir S. S., V.gluscevic and C. E. M. pearce, approximation for the csiszar f -divergence via mid-point inequalities, in inequality theory and applications- Y. J. Cho, J. K. Kim and S. S. dragomir(Eds), nova science publishers, inc., Huntington, new York, vol1, 2001, pp.139-154.Search in Google Scholar

Dragomir S. S., J. Sunde and C. Buse, New Inequalities for Jeffreys Divergence measure, Tamusi Oxford Journal of Mathematical Sciences, 16(2)(2000), 295-309Search in Google Scholar

Jain K. C. and A. Srivastava, On Symmetric Information Divergence Measures of Csiszar's f-Divergence Class, Journal of Applied Mathematics, Statistics and Informatics (JAMSI), 3(1)(2007), 85-102Search in Google Scholar

Kullback S., R.A Leibler: On information and sufficiency. Ann. Nath. Statistics 22(1951),79-8610.1214/aoms/1177729694Search in Google Scholar

Pearson K., On the criterion that a give system of deviations from the probable in the case of correlated system of variables in such that it can be reasonable supposed to have arisen from random sampling, Phil. Mag., 50(1900), 157-172.10.1080/14786440009463897Search in Google Scholar

Taneja I. J. and P. Kumar, Relative information of type s, Csiszar f-divergence and Information inequalities, Information Sciences, 166 (1-6)(2004), 105-125 Also in: http:// rgmia.vu.edu.au, RGMIA Research Report Collection. 6(3)(2003). Article12 http://rgmia.vu.edu.auSearch in Google Scholar

Taneja I. J., New Developments in generalized information measures, Chapter in: Advances in imaging and Electron Physics, Ed. P. W. Hawkes 91 (1995), 37-135.Search in Google Scholar

Taneja I. J., Pranesh Kumar, Generalized non-symmetric divergence measures and inequalities.Search in Google Scholar

Topse F., Some inequalities for information divergence and related measures of discrimination. Res. Coll. RGMIA2 (1999), 85-98.Search in Google Scholar

Sibson R., Information Radius, Z, Wahrs. undverw. geb.(14)(1969), 149-16010.1007/BF00537520Search in Google Scholar