Dynamic Version of Weighted Cumulative Residual Extropy and Its Applications

Results and DiscussionOur exploration of the dynamic weighted cumulative residual extropy criterion reveals a wealth of practical insights.We establish its connections with well-known reliability measures, shedding light on its potential applications in weighted mean residual lifetime, hazard rate functions, and second-order conditional moments.The characterization properties, such as upper and lower bounds, inequalities, and stochastic orders, vividly depict its behavior across diverse scenarios.Moreover, we unveil the impact of linear transformations on this dynamic extropy, highlighting its robustness.Most importantly, our real-world application demonstrates how dynamic weighted cumulative residual extropy can aid in selecting appropriate data distributions, thereby enhancing its practical relevance. ConclusionWe've bridged theory and practice in exploring dynamic weighted cumulative residual extropy.Our findings illuminate its connections to established reliability criteria, revealing its versatility across diverse contexts and making it a powerful tool for researchers.The characterization properties, bounds, and stochastic orders provide a comprehensive understanding.Moreover, our non-parametric estimator equips researchers with powerful tools.