%0 Journal Article
%T Seven Means, Generalized Triangular Discrimination, and Generating Divergence Measures
%A Inder Jeet Taneja
%J Information
%D 2013
%I MDPI AG
%R 10.3390/info4020198
%X Jensen-Shannon, J-divergence and Arithmetic-Geometric mean divergences are three classical divergence measures known in the information theory and statistics literature. These three divergence measures bear interesting inequality among the three non-logarithmic measures known as triangular discrimination, Hellingar¡¯s divergence and symmetric chi-square divergence. However, in 2003, Eve studied seven means from a geometrical point of view, which are Harmonic, Geometric, Arithmetic, Heronian, Contra-harmonic, Root-mean square and Centroidal. In this paper, we have obtained new inequalities among non-negative differences arising from these seven means. Correlations with generalized triangular discrimination and some new generating measures with their exponential representations are also presented.
%K arithmetic mean
%K geometric mean
%K Heronian mean
%K Hellinger¡¯s distance
%K triangular discrimination
%K information inequalities
%U http://www.mdpi.com/2078-2489/4/2/198