Real-time and hybrid systems have been studied so far under the assumption of finite variability. In this paper, we consider models in which systems exhibiting finite divergence can also be analysed. In such systems the state of the system can change infinitely often in a finite time. This kind of behaviour arises in many representations of hybrid systems, and also in theories of nonlinear syst...

This paper studies the Minimum Divergence (MD) class of estimators for econometric models specified through moment restrictions. We show that MD estimators can be obtained as solutions to a computationally tractable optimization problem. This problem is similar to the one solved by the Generalized Empirical Likelihood estimators of Newey and Smith (2004), but it is equivalent to it only for a s...

There are three classical divergence measures in the literature on information theory and statistics, namely, Jeffryes-Kullback-Leiber’s J-divergence, Sibson-Burbea-Rao’s JensenShannon divegernce and Taneja’s arithemtic geometric mean divergence. These bear an interesting relationship among each other and are based on logarithmic expressions. The divergence measures like Hellinger discriminatio...

In the present communication, three new divergence measures between fuzzy sets are proposed. The validity of these divergence measures is examined axiomatically. Relation of the proposed divergence measures with the cardinality of a universe of discourse is established. Some properties of these divergence measures are established. Relation of divergence between fuzzy sets with aggregation opera...