Empirical Likelihood Based Inference for a Divergence Measure Based on Survival Extropy

Abstract: We consider a divergence measure based on survival extropy and derive its non-parametric estimators based on U-statistics, empirical distribution-functions, and kernel density. Further, we construct confidence intervals for the divergence measure using the jackknife empirical likelihood (JEL) method and the normal approximation method with a jackknife pseudo-value-based variance estimator. A comprehensive simulation study is conducted to compare the performance of the measure with existing divergence measures. In addition, we assess the finite-sample performance of various estimators for the measure. The findings highlight the effectiveness of the divergence measure and its estimators in practical applications.