A quantile approach to cumulative residual extropy of record values

In recent years, quantile-based methods have gained prominence in evaluating the uncertainty of random variables. Unlike traditional approaches that rely on distribution functions, quantile-based techniques provide distinctive and insightful perspectives. This study proposes a novel quantile-based framework for analyzing the dynamic cumulative residual extropy of record values and investigates its theoretical properties. Furthermore, a non-parametric estimator for quantile-based dynamic cumulative residual extropy of record values is developed and applied to distributions commonly encountered in lifetime data analysis.