Bivariate Cumulative Tsallis Past Entropy: Properties and Applications

Abstract

In the present study, we extend the cumulative Tsallis entropy in the past life to its bivariate case. We can use the proposed measure for determining the uncertainty associated with two-component systems in the past lifetime. Some important properties of these measures are studied along with the characterization results of some essential bivariate lifetime models. We also examine specific applications of the vector-valued measure based on the non-parametric methods of estimation and illustrated their performances using simulated and real data sets.