On interval weighted cumulative residual and past extropies

Abstract

We propose an interval weighted cumulative residual extropy (IWCRJ), which is an extension of weighted cumulative residual extropy and the dynamic weighted cumulative residual extropy. Some properties of IWCRJ and several bounds and inequalities are proposed. Also, the dual measure, interval weighted cumulative past extropy is defined, and some of its properties are studied. Furthermore, nonparametric estimators for the proposed measures are obtained. To verify the performance of the estimators, a Monte Carlo simulation study and illustration using a real dataset are performed.

Topics & Concepts