Some new findings on the survival Rényi entropy and application of COVID-19 data

• DOI: 10.1016/j.rinp.2021.104966
• Publication Date: 2021-11-23T01:36:27Z
• Authors: Mohamed S. Mohamed; Amani Almohaimeed; Mahmoud M. Abd El...
• Keywords: Failure rate function; Rényi entropy; Physics; QC1-999; 0101 mathematics; Mean residual life function; Non-parametric estimation; Ordered random variables; 01 natural sciences; Article; 3. Good health

Motivated by the connotation of survival Rényi entropy and its related dynamic version, we introduce them in terms of their lower bounds and mean residual life function. Moreover, we illustrate the relation between survival Rényi entropy and some of measures of information. Furthermore, the hazard rate order implies ordering of dynamic survival Rényi entropy. Our models are considered a more comprehensive version of generalized order statistics and give some properties and characterization results. Finally, a non-parametric estimation of survival Rényi entropy is included based on real COVID-19 data and simulated data.