In this paper we have considered a single inequality having 11 known
divergence measures. This inequality include measures like:
Jeffryes-Kullback-Leiber J-divergence, Jensen-Shannon divergence (Burbea-Rao,
1982), arithmetic-geometric mean divergence (Taneja, 1995), Hellinger
discrimination, symmetric chi-square divergence, triangular discrimination,
etc. All these measures are well-known in the literature on Information theory
and Statistics. This sequence of 11 measures also include measures due to Kumar
and Johnson (2005) and Jain and Srivastava (2007). Three measures arising due
to some mean divergences also appears in this inequality. Based on non-negative
differences arising due to this single inequality of 11 measures, we have put
more than 40 divergence measures in nested or sequential form. Idea of reverse
inequalities is also introduced
