Abstract
In this paper we have considered two one parametric generalizations. These two generalizations have in particular the well known measures such as: J-divergence , Jensen-Shannon divergence and arithmetic-geometric mean divergence . These three measures are with logarithmic expressions. Also, we have particular cases the measures such as: Hellinger discrimination , symmetric $\chi ^2$- divergence , and triangular discrimination . These three measures are also well-known in the literature of statistics, and are without logarithmic expressions. Still, we have one more non logarithmic measure as particular case calling it d-divergence . These seven measures bear an interesting inequality. Based on this inequality, we have considered different difference of divergence measures and established a sequence of inequalities among themselves.
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