Jensen-information generating function and its connections to some well-known information measures

In this work, we consider the information generating function measure and develop some new results associated with it. We specifically propose two new divergence measures and show that some of the well-known information divergences such as Jensen-Shannon, Jensen-extropy and Jensen-Taneja divergence measures are all special cases of it. Finally, we also discuss the information generating function for residual lifetime variables. (C) 2020 Elsevier B.V. All rights reserved.

Automated summary

In this study, we investigate the information generating function measure and introduce two new divergence measures. It is shown that well-known information divergences such as Jensen-Shannon, Jensen-extropy, and Jensen-Taneja measures are special cases of this new approach. Additionally, the information generating function for residual lifetime variables is also discussed.