Abstract
This paper introduces a dynamic divergence measure to assess the discrepancy between the distribution functions of two inactivity lifetime random variables. Various time-dependent results on the proposed divergence measure in connection to other well-known measures in reliability engineering and survival studies are investigated. Some aging and monotonicity properties of such a measure are also studied. Furthermore, the proposed criterion is examined in two general classes of transformation models which results in some well-known models in the lifetime studies and survival analysis.
Acknowledgements
The author would like to thank the Associate Editor and a reviewer for their constructive comments that greatly improved the paper.
Disclosure statement
The author declares no potential conflict of interests.