Modified Cumulative Extropies of Doubly Truncated Random Variables
摘要
In this paper, we introduce the modified doubly truncated cumulative residual and past extropies, which are generalizations of corresponding cumulative extropies and their dynamic version. We study them in the context of reliability theory. Also, several properties including the proposed measures’ monotonicity, bounds, and uniqueness are investigated. Moreover, non-parametric estimators of the proposed measures are provided. Finally, an application on a real dataset is performed to verify the performance of the estimators.