A Study on Some Properties of Dynamic Survival Extropy and Its Relation to Economic Measures

Abstract The main focus of this article is on the study of properties and characterizations of dynamic survival extropy and its scaled version. Its relation with other well-known measures is also discussed. A simple nonparametric estimator and a nonparametric estimator based on the kernel are proposed for survival extropy and scaled dynamic survival extropy respectively. These estimators could also be utilized to estimate the measures related to dynamic survival extropy, such as the Gini index. In addition, the performance of the suggested estimators is evaluated for the simulated data set.